{"id": 0, "image": "images/SyntheticGeometry/syntheticgeometry_15131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1, "image": "images/SyntheticGeometry/syntheticgeometry_19066noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BNC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2, "image": "images/SyntheticGeometry/syntheticgeometry_43729.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 3, "image": "images/SyntheticGeometry/syntheticgeometry_04158noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 4, "image": "images/SyntheticGeometry/syntheticgeometry_35821noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5, "image": "images/SyntheticGeometry/syntheticgeometry_36010noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6, "image": "images/SyntheticGeometry/syntheticgeometry_13756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7, "image": "images/SyntheticGeometry/syntheticgeometry_43343.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 8, "image": "images/SyntheticGeometry/syntheticgeometry_41435noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AON in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 9, "image": "images/SyntheticGeometry/syntheticgeometry_06302noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 10, "image": "images/SyntheticGeometry/syntheticgeometry_11823.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 11, "image": "images/SyntheticGeometry/syntheticgeometry_47749noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 12, "image": "images/SyntheticGeometry/syntheticgeometry_31714noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 13, "image": "images/SyntheticGeometry/syntheticgeometry_39780.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 14, "image": "images/SyntheticGeometry/syntheticgeometry_49602noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 15, "image": "images/SyntheticGeometry/syntheticgeometry_11664noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 16, "image": "images/SyntheticGeometry/syntheticgeometry_05261.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 17, "image": "images/SyntheticGeometry/syntheticgeometry_42860.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 18, "image": "images/SyntheticGeometry/syntheticgeometry_38790noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 19, "image": "images/SyntheticGeometry/syntheticgeometry_30601.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 20, "image": "images/SyntheticGeometry/syntheticgeometry_13301noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 21, "image": "images/SyntheticGeometry/syntheticgeometry_15157.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 22, "image": "images/SyntheticGeometry/syntheticgeometry_19780.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 23, "image": "images/SyntheticGeometry/syntheticgeometry_22038noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 24, "image": "images/SyntheticGeometry/syntheticgeometry_37317.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 25, "image": "images/SyntheticGeometry/syntheticgeometry_46658.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 26, "image": "images/SyntheticGeometry/syntheticgeometry_45850noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 27, "image": "images/SyntheticGeometry/syntheticgeometry_14377noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 28, "image": "images/SyntheticGeometry/syntheticgeometry_02092.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 29, "image": "images/SyntheticGeometry/syntheticgeometry_35425.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 30, "image": "images/SyntheticGeometry/syntheticgeometry_26625noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 31, "image": "images/SyntheticGeometry/syntheticgeometry_41476noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 32, "image": "images/SyntheticGeometry/syntheticgeometry_23774noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 33, "image": "images/SyntheticGeometry/syntheticgeometry_44664noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 34, "image": "images/SyntheticGeometry/syntheticgeometry_11846.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 35, "image": "images/SyntheticGeometry/syntheticgeometry_42416noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 36, "image": "images/SyntheticGeometry/syntheticgeometry_08583.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 37, "image": "images/SyntheticGeometry/syntheticgeometry_44682.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 38, "image": "images/SyntheticGeometry/syntheticgeometry_02686noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 39, "image": "images/SyntheticGeometry/syntheticgeometry_44152noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 40, "image": "images/SyntheticGeometry/syntheticgeometry_30895.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 41, "image": "images/SyntheticGeometry/syntheticgeometry_18283noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 42, "image": "images/SyntheticGeometry/syntheticgeometry_28819noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 43, "image": "images/SyntheticGeometry/syntheticgeometry_28452.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 44, "image": "images/SyntheticGeometry/syntheticgeometry_20492.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 45, "image": "images/SyntheticGeometry/syntheticgeometry_48028noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 46, "image": "images/SyntheticGeometry/syntheticgeometry_15854.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 47, "image": "images/SyntheticGeometry/syntheticgeometry_18394.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 48, "image": "images/SyntheticGeometry/syntheticgeometry_26453.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 49, "image": "images/SyntheticGeometry/syntheticgeometry_46771noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 50, "image": "images/SyntheticGeometry/syntheticgeometry_32272noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 51, "image": "images/SyntheticGeometry/syntheticgeometry_25120noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 52, "image": "images/SyntheticGeometry/syntheticgeometry_18630.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 53, "image": "images/SyntheticGeometry/syntheticgeometry_18404.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 54, "image": "images/SyntheticGeometry/syntheticgeometry_37079noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 55, "image": "images/SyntheticGeometry/syntheticgeometry_23201.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 56, "image": "images/SyntheticGeometry/syntheticgeometry_47407noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 57, "image": "images/SyntheticGeometry/syntheticgeometry_05312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 58, "image": "images/SyntheticGeometry/syntheticgeometry_18427noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 59, "image": "images/SyntheticGeometry/syntheticgeometry_34348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 60, "image": "images/SyntheticGeometry/syntheticgeometry_11136noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 61, "image": "images/SyntheticGeometry/syntheticgeometry_30552.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 62, "image": "images/SyntheticGeometry/syntheticgeometry_28889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 63, "image": "images/SyntheticGeometry/syntheticgeometry_10042noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 64, "image": "images/SyntheticGeometry/syntheticgeometry_27648.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 65, "image": "images/SyntheticGeometry/syntheticgeometry_46803noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 66, "image": "images/SyntheticGeometry/syntheticgeometry_32852.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 67, "image": "images/SyntheticGeometry/syntheticgeometry_07262noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 68, "image": "images/SyntheticGeometry/syntheticgeometry_35757noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ODG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 69, "image": "images/SyntheticGeometry/syntheticgeometry_46044noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 70, "image": "images/SyntheticGeometry/syntheticgeometry_06044.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 71, "image": "images/SyntheticGeometry/syntheticgeometry_46141noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 72, "image": "images/SyntheticGeometry/syntheticgeometry_44332noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 73, "image": "images/SyntheticGeometry/syntheticgeometry_15104noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 74, "image": "images/SyntheticGeometry/syntheticgeometry_22293noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 75, "image": "images/SyntheticGeometry/syntheticgeometry_43014.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 76, "image": "images/SyntheticGeometry/syntheticgeometry_45135noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 77, "image": "images/SyntheticGeometry/syntheticgeometry_15302noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 78, "image": "images/SyntheticGeometry/syntheticgeometry_21019noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 79, "image": "images/SyntheticGeometry/syntheticgeometry_19152.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 80, "image": "images/SyntheticGeometry/syntheticgeometry_24863noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 81, "image": "images/SyntheticGeometry/syntheticgeometry_24405noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 82, "image": "images/SyntheticGeometry/syntheticgeometry_33405noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 83, "image": "images/SyntheticGeometry/syntheticgeometry_16585.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 84, "image": "images/SyntheticGeometry/syntheticgeometry_32256.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 85, "image": "images/SyntheticGeometry/syntheticgeometry_36714.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 86, "image": "images/SyntheticGeometry/syntheticgeometry_04347noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 87, "image": "images/SyntheticGeometry/syntheticgeometry_33338.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 88, "image": "images/SyntheticGeometry/syntheticgeometry_05285.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 89, "image": "images/SyntheticGeometry/syntheticgeometry_31966.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 90, "image": "images/SyntheticGeometry/syntheticgeometry_16741noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 91, "image": "images/SyntheticGeometry/syntheticgeometry_26916noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 92, "image": "images/SyntheticGeometry/syntheticgeometry_03844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 93, "image": "images/SyntheticGeometry/syntheticgeometry_32083noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 94, "image": "images/SyntheticGeometry/syntheticgeometry_33480.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 95, "image": "images/SyntheticGeometry/syntheticgeometry_42521.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 96, "image": "images/SyntheticGeometry/syntheticgeometry_46166noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 97, "image": "images/SyntheticGeometry/syntheticgeometry_43397.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 98, "image": "images/SyntheticGeometry/syntheticgeometry_48838.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 99, "image": "images/SyntheticGeometry/syntheticgeometry_29381noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 100, "image": "images/SyntheticGeometry/syntheticgeometry_26892noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 101, "image": "images/SyntheticGeometry/syntheticgeometry_28327noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 102, "image": "images/SyntheticGeometry/syntheticgeometry_20537noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 103, "image": "images/SyntheticGeometry/syntheticgeometry_26084.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 104, "image": "images/SyntheticGeometry/syntheticgeometry_38240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 105, "image": "images/SyntheticGeometry/syntheticgeometry_44865noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 106, "image": "images/SyntheticGeometry/syntheticgeometry_27289noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 107, "image": "images/SyntheticGeometry/syntheticgeometry_29781noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 108, "image": "images/SyntheticGeometry/syntheticgeometry_17331noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DLC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 109, "image": "images/SyntheticGeometry/syntheticgeometry_44045noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 110, "image": "images/SyntheticGeometry/syntheticgeometry_06049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 111, "image": "images/SyntheticGeometry/syntheticgeometry_46325noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 112, "image": "images/SyntheticGeometry/syntheticgeometry_45352.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 113, "image": "images/SyntheticGeometry/syntheticgeometry_11001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 114, "image": "images/SyntheticGeometry/syntheticgeometry_33567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 115, "image": "images/SyntheticGeometry/syntheticgeometry_40702noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 116, "image": "images/SyntheticGeometry/syntheticgeometry_13006noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 117, "image": "images/SyntheticGeometry/syntheticgeometry_16209noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 118, "image": "images/SyntheticGeometry/syntheticgeometry_26958noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 119, "image": "images/SyntheticGeometry/syntheticgeometry_23999noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 120, "image": "images/SyntheticGeometry/syntheticgeometry_10372noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 121, "image": "images/SyntheticGeometry/syntheticgeometry_17917.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 122, "image": "images/SyntheticGeometry/syntheticgeometry_23368noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 123, "image": "images/SyntheticGeometry/syntheticgeometry_20293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 124, "image": "images/SyntheticGeometry/syntheticgeometry_17272noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 125, "image": "images/SyntheticGeometry/syntheticgeometry_09045noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 126, "image": "images/SyntheticGeometry/syntheticgeometry_38813.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 127, "image": "images/SyntheticGeometry/syntheticgeometry_09010noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 128, "image": "images/SyntheticGeometry/syntheticgeometry_33657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 129, "image": "images/SyntheticGeometry/syntheticgeometry_28839noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 130, "image": "images/SyntheticGeometry/syntheticgeometry_11365.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 131, "image": "images/SyntheticGeometry/syntheticgeometry_04232noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 132, "image": "images/SyntheticGeometry/syntheticgeometry_20647noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 133, "image": "images/SyntheticGeometry/syntheticgeometry_38228noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 134, "image": "images/SyntheticGeometry/syntheticgeometry_31832noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 135, "image": "images/SyntheticGeometry/syntheticgeometry_38676noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 136, "image": "images/SyntheticGeometry/syntheticgeometry_38657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 137, "image": "images/SyntheticGeometry/syntheticgeometry_05233.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 138, "image": "images/SyntheticGeometry/syntheticgeometry_09403noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 139, "image": "images/SyntheticGeometry/syntheticgeometry_05829.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 140, "image": "images/SyntheticGeometry/syntheticgeometry_33345.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 141, "image": "images/SyntheticGeometry/syntheticgeometry_34579.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 142, "image": "images/SyntheticGeometry/syntheticgeometry_09521.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 143, "image": "images/SyntheticGeometry/syntheticgeometry_43346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 144, "image": "images/SyntheticGeometry/syntheticgeometry_13763noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 145, "image": "images/SyntheticGeometry/syntheticgeometry_21900.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 146, "image": "images/SyntheticGeometry/syntheticgeometry_04831.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 147, "image": "images/SyntheticGeometry/syntheticgeometry_33544.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 148, "image": "images/SyntheticGeometry/syntheticgeometry_13768.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 149, "image": "images/SyntheticGeometry/syntheticgeometry_05293noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 150, "image": "images/SyntheticGeometry/syntheticgeometry_14355.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 151, "image": "images/SyntheticGeometry/syntheticgeometry_42916noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 152, "image": "images/SyntheticGeometry/syntheticgeometry_26566noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 153, "image": "images/SyntheticGeometry/syntheticgeometry_29979noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 154, "image": "images/SyntheticGeometry/syntheticgeometry_46101noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 155, "image": "images/SyntheticGeometry/syntheticgeometry_02536.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 156, "image": "images/SyntheticGeometry/syntheticgeometry_28752noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 157, "image": "images/SyntheticGeometry/syntheticgeometry_27822noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 158, "image": "images/SyntheticGeometry/syntheticgeometry_10567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 159, "image": "images/SyntheticGeometry/syntheticgeometry_43517noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 160, "image": "images/SyntheticGeometry/syntheticgeometry_43928.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 161, "image": "images/SyntheticGeometry/syntheticgeometry_02742noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 162, "image": "images/SyntheticGeometry/syntheticgeometry_33776noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 163, "image": "images/SyntheticGeometry/syntheticgeometry_34355noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 164, "image": "images/SyntheticGeometry/syntheticgeometry_27453.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 165, "image": "images/SyntheticGeometry/syntheticgeometry_03886noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 166, "image": "images/SyntheticGeometry/syntheticgeometry_35105noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 167, "image": "images/SyntheticGeometry/syntheticgeometry_20418noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 168, "image": "images/SyntheticGeometry/syntheticgeometry_21309.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 169, "image": "images/SyntheticGeometry/syntheticgeometry_12435noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 170, "image": "images/SyntheticGeometry/syntheticgeometry_04762.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 171, "image": "images/SyntheticGeometry/syntheticgeometry_42107noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 172, "image": "images/SyntheticGeometry/syntheticgeometry_38569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 173, "image": "images/SyntheticGeometry/syntheticgeometry_36263noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 174, "image": "images/SyntheticGeometry/syntheticgeometry_12052.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 175, "image": "images/SyntheticGeometry/syntheticgeometry_38978.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 176, "image": "images/SyntheticGeometry/syntheticgeometry_03034noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 177, "image": "images/SyntheticGeometry/syntheticgeometry_22871.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 178, "image": "images/SyntheticGeometry/syntheticgeometry_34849.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 179, "image": "images/SyntheticGeometry/syntheticgeometry_11074noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 180, "image": "images/SyntheticGeometry/syntheticgeometry_23624noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 181, "image": "images/SyntheticGeometry/syntheticgeometry_37962.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 182, "image": "images/SyntheticGeometry/syntheticgeometry_30904.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 183, "image": "images/SyntheticGeometry/syntheticgeometry_44465noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 184, "image": "images/SyntheticGeometry/syntheticgeometry_26155noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 185, "image": "images/SyntheticGeometry/syntheticgeometry_02820noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 186, "image": "images/SyntheticGeometry/syntheticgeometry_49694noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 187, "image": "images/SyntheticGeometry/syntheticgeometry_14431.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 188, "image": "images/SyntheticGeometry/syntheticgeometry_23086noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 189, "image": "images/SyntheticGeometry/syntheticgeometry_02440.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 190, "image": "images/SyntheticGeometry/syntheticgeometry_16728noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 191, "image": "images/SyntheticGeometry/syntheticgeometry_31411.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 192, "image": "images/SyntheticGeometry/syntheticgeometry_13541noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 193, "image": "images/SyntheticGeometry/syntheticgeometry_23257noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 194, "image": "images/SyntheticGeometry/syntheticgeometry_31244noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 195, "image": "images/SyntheticGeometry/syntheticgeometry_31174noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 196, "image": "images/SyntheticGeometry/syntheticgeometry_49927.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 197, "image": "images/SyntheticGeometry/syntheticgeometry_25181noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 198, "image": "images/SyntheticGeometry/syntheticgeometry_13501noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 199, "image": "images/SyntheticGeometry/syntheticgeometry_14519.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 200, "image": "images/SyntheticGeometry/syntheticgeometry_27770noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 201, "image": "images/SyntheticGeometry/syntheticgeometry_08049.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 202, "image": "images/SyntheticGeometry/syntheticgeometry_46233noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 203, "image": "images/SyntheticGeometry/syntheticgeometry_29020noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 204, "image": "images/SyntheticGeometry/syntheticgeometry_46122noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 205, "image": "images/SyntheticGeometry/syntheticgeometry_08151.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 206, "image": "images/SyntheticGeometry/syntheticgeometry_12945noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 207, "image": "images/SyntheticGeometry/syntheticgeometry_38997noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 208, "image": "images/SyntheticGeometry/syntheticgeometry_34674.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 209, "image": "images/SyntheticGeometry/syntheticgeometry_11605noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 210, "image": "images/SyntheticGeometry/syntheticgeometry_29806.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 211, "image": "images/SyntheticGeometry/syntheticgeometry_34135.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 212, "image": "images/SyntheticGeometry/syntheticgeometry_30885noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 213, "image": "images/SyntheticGeometry/syntheticgeometry_45091noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 214, "image": "images/SyntheticGeometry/syntheticgeometry_23585.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 215, "image": "images/SyntheticGeometry/syntheticgeometry_40975noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 216, "image": "images/SyntheticGeometry/syntheticgeometry_42586noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 217, "image": "images/SyntheticGeometry/syntheticgeometry_15899.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 218, "image": "images/SyntheticGeometry/syntheticgeometry_22818noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 219, "image": "images/SyntheticGeometry/syntheticgeometry_06809noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 220, "image": "images/SyntheticGeometry/syntheticgeometry_14320noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 221, "image": "images/SyntheticGeometry/syntheticgeometry_12518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 222, "image": "images/SyntheticGeometry/syntheticgeometry_48971noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 223, "image": "images/SyntheticGeometry/syntheticgeometry_36516.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 224, "image": "images/SyntheticGeometry/syntheticgeometry_28043.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 225, "image": "images/SyntheticGeometry/syntheticgeometry_41511noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 226, "image": "images/SyntheticGeometry/syntheticgeometry_35745noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 227, "image": "images/SyntheticGeometry/syntheticgeometry_39542noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 228, "image": "images/SyntheticGeometry/syntheticgeometry_04167.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 229, "image": "images/SyntheticGeometry/syntheticgeometry_29807noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 230, "image": "images/SyntheticGeometry/syntheticgeometry_02258noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 231, "image": "images/SyntheticGeometry/syntheticgeometry_48406.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 232, "image": "images/SyntheticGeometry/syntheticgeometry_08496noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 233, "image": "images/SyntheticGeometry/syntheticgeometry_13701noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 234, "image": "images/SyntheticGeometry/syntheticgeometry_04051noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 235, "image": "images/SyntheticGeometry/syntheticgeometry_17749noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 236, "image": "images/SyntheticGeometry/syntheticgeometry_24862.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 237, "image": "images/SyntheticGeometry/syntheticgeometry_14173.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 238, "image": "images/SyntheticGeometry/syntheticgeometry_34302noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 239, "image": "images/SyntheticGeometry/syntheticgeometry_06847noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 240, "image": "images/SyntheticGeometry/syntheticgeometry_11500noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 241, "image": "images/SyntheticGeometry/syntheticgeometry_12408noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 242, "image": "images/SyntheticGeometry/syntheticgeometry_20498.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 243, "image": "images/SyntheticGeometry/syntheticgeometry_11942noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 244, "image": "images/SyntheticGeometry/syntheticgeometry_36452noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 245, "image": "images/SyntheticGeometry/syntheticgeometry_27479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 246, "image": "images/SyntheticGeometry/syntheticgeometry_21677noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 247, "image": "images/SyntheticGeometry/syntheticgeometry_31631.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 248, "image": "images/SyntheticGeometry/syntheticgeometry_02186.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 249, "image": "images/SyntheticGeometry/syntheticgeometry_16104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 250, "image": "images/SyntheticGeometry/syntheticgeometry_20769noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 251, "image": "images/SyntheticGeometry/syntheticgeometry_13205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 252, "image": "images/SyntheticGeometry/syntheticgeometry_13410noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 253, "image": "images/SyntheticGeometry/syntheticgeometry_13466.png", "conversations": [{"from": "human", "value": "\nThere is a triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 254, "image": "images/SyntheticGeometry/syntheticgeometry_28743.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 255, "image": "images/SyntheticGeometry/syntheticgeometry_24285.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 256, "image": "images/SyntheticGeometry/syntheticgeometry_25244noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 257, "image": "images/SyntheticGeometry/syntheticgeometry_16453noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 258, "image": "images/SyntheticGeometry/syntheticgeometry_10879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 259, "image": "images/SyntheticGeometry/syntheticgeometry_47224.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 260, "image": "images/SyntheticGeometry/syntheticgeometry_14392.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 261, "image": "images/SyntheticGeometry/syntheticgeometry_39135noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 262, "image": "images/SyntheticGeometry/syntheticgeometry_10675.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 263, "image": "images/SyntheticGeometry/syntheticgeometry_37362noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 264, "image": "images/SyntheticGeometry/syntheticgeometry_43814noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 265, "image": "images/SyntheticGeometry/syntheticgeometry_03837noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 266, "image": "images/SyntheticGeometry/syntheticgeometry_29992noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 267, "image": "images/SyntheticGeometry/syntheticgeometry_19479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 268, "image": "images/SyntheticGeometry/syntheticgeometry_18097.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 269, "image": "images/SyntheticGeometry/syntheticgeometry_02888.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 270, "image": "images/SyntheticGeometry/syntheticgeometry_30410noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 271, "image": "images/SyntheticGeometry/syntheticgeometry_13273.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 272, "image": "images/SyntheticGeometry/syntheticgeometry_13878.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 273, "image": "images/SyntheticGeometry/syntheticgeometry_33469.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GDR in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 274, "image": "images/SyntheticGeometry/syntheticgeometry_19457noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 275, "image": "images/SyntheticGeometry/syntheticgeometry_22469.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 276, "image": "images/SyntheticGeometry/syntheticgeometry_23161.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 277, "image": "images/SyntheticGeometry/syntheticgeometry_36584noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 278, "image": "images/SyntheticGeometry/syntheticgeometry_45007noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 279, "image": "images/SyntheticGeometry/syntheticgeometry_15759noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 280, "image": "images/SyntheticGeometry/syntheticgeometry_12105.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 281, "image": "images/SyntheticGeometry/syntheticgeometry_39117.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 282, "image": "images/SyntheticGeometry/syntheticgeometry_14484noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 283, "image": "images/SyntheticGeometry/syntheticgeometry_06514noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 284, "image": "images/SyntheticGeometry/syntheticgeometry_45337noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 285, "image": "images/SyntheticGeometry/syntheticgeometry_03097noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 286, "image": "images/SyntheticGeometry/syntheticgeometry_31128.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 287, "image": "images/SyntheticGeometry/syntheticgeometry_17905.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 288, "image": "images/SyntheticGeometry/syntheticgeometry_14081.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 289, "image": "images/SyntheticGeometry/syntheticgeometry_33341.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 290, "image": "images/SyntheticGeometry/syntheticgeometry_14136.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 291, "image": "images/SyntheticGeometry/syntheticgeometry_17699noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 292, "image": "images/SyntheticGeometry/syntheticgeometry_42449noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 293, "image": "images/SyntheticGeometry/syntheticgeometry_47805.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 294, "image": "images/SyntheticGeometry/syntheticgeometry_11985noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 295, "image": "images/SyntheticGeometry/syntheticgeometry_36790noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 296, "image": "images/SyntheticGeometry/syntheticgeometry_39864noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 297, "image": "images/SyntheticGeometry/syntheticgeometry_44610noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 298, "image": "images/SyntheticGeometry/syntheticgeometry_06935noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 299, "image": "images/SyntheticGeometry/syntheticgeometry_18998.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 300, "image": "images/SyntheticGeometry/syntheticgeometry_38147noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 301, "image": "images/SyntheticGeometry/syntheticgeometry_07582.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 302, "image": "images/SyntheticGeometry/syntheticgeometry_13838.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 303, "image": "images/SyntheticGeometry/syntheticgeometry_21787noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 304, "image": "images/SyntheticGeometry/syntheticgeometry_19062.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 305, "image": "images/SyntheticGeometry/syntheticgeometry_29968noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 306, "image": "images/SyntheticGeometry/syntheticgeometry_36214noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 307, "image": "images/SyntheticGeometry/syntheticgeometry_44713noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 308, "image": "images/SyntheticGeometry/syntheticgeometry_17713noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 309, "image": "images/SyntheticGeometry/syntheticgeometry_06006.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 310, "image": "images/SyntheticGeometry/syntheticgeometry_04836noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 311, "image": "images/SyntheticGeometry/syntheticgeometry_34570noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 312, "image": "images/SyntheticGeometry/syntheticgeometry_42987noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 313, "image": "images/SyntheticGeometry/syntheticgeometry_49446.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 314, "image": "images/SyntheticGeometry/syntheticgeometry_49843noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 315, "image": "images/SyntheticGeometry/syntheticgeometry_24855noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 316, "image": "images/SyntheticGeometry/syntheticgeometry_35824noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 317, "image": "images/SyntheticGeometry/syntheticgeometry_36831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 318, "image": "images/SyntheticGeometry/syntheticgeometry_43434noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 319, "image": "images/SyntheticGeometry/syntheticgeometry_12510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 320, "image": "images/SyntheticGeometry/syntheticgeometry_31890.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 321, "image": "images/SyntheticGeometry/syntheticgeometry_16939.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 322, "image": "images/SyntheticGeometry/syntheticgeometry_32245noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 323, "image": "images/SyntheticGeometry/syntheticgeometry_36475.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 324, "image": "images/SyntheticGeometry/syntheticgeometry_28672noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 325, "image": "images/SyntheticGeometry/syntheticgeometry_16025noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 326, "image": "images/SyntheticGeometry/syntheticgeometry_41107noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 327, "image": "images/SyntheticGeometry/syntheticgeometry_11378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 328, "image": "images/SyntheticGeometry/syntheticgeometry_49676noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 329, "image": "images/SyntheticGeometry/syntheticgeometry_15550noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 330, "image": "images/SyntheticGeometry/syntheticgeometry_16589.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 331, "image": "images/SyntheticGeometry/syntheticgeometry_25550noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 332, "image": "images/SyntheticGeometry/syntheticgeometry_20046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 333, "image": "images/SyntheticGeometry/syntheticgeometry_20171noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 334, "image": "images/SyntheticGeometry/syntheticgeometry_17726.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 335, "image": "images/SyntheticGeometry/syntheticgeometry_22927noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 336, "image": "images/SyntheticGeometry/syntheticgeometry_22040.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 337, "image": "images/SyntheticGeometry/syntheticgeometry_44168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 338, "image": "images/SyntheticGeometry/syntheticgeometry_21033noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 339, "image": "images/SyntheticGeometry/syntheticgeometry_28587noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 340, "image": "images/SyntheticGeometry/syntheticgeometry_37195.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 341, "image": "images/SyntheticGeometry/syntheticgeometry_26954noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 342, "image": "images/SyntheticGeometry/syntheticgeometry_23865noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 343, "image": "images/SyntheticGeometry/syntheticgeometry_03388.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 344, "image": "images/SyntheticGeometry/syntheticgeometry_21851noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 345, "image": "images/SyntheticGeometry/syntheticgeometry_29175noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 346, "image": "images/SyntheticGeometry/syntheticgeometry_48450.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 347, "image": "images/SyntheticGeometry/syntheticgeometry_27833noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ODL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 348, "image": "images/SyntheticGeometry/syntheticgeometry_35773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 349, "image": "images/SyntheticGeometry/syntheticgeometry_46198noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 350, "image": "images/SyntheticGeometry/syntheticgeometry_03090noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 351, "image": "images/SyntheticGeometry/syntheticgeometry_46434.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 352, "image": "images/SyntheticGeometry/syntheticgeometry_04747noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 353, "image": "images/SyntheticGeometry/syntheticgeometry_36945noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 354, "image": "images/SyntheticGeometry/syntheticgeometry_04455.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 355, "image": "images/SyntheticGeometry/syntheticgeometry_19642noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 356, "image": "images/SyntheticGeometry/syntheticgeometry_45139.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 357, "image": "images/SyntheticGeometry/syntheticgeometry_19567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 358, "image": "images/SyntheticGeometry/syntheticgeometry_11276noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 359, "image": "images/SyntheticGeometry/syntheticgeometry_19456.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 360, "image": "images/SyntheticGeometry/syntheticgeometry_22549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 361, "image": "images/SyntheticGeometry/syntheticgeometry_33722noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 362, "image": "images/SyntheticGeometry/syntheticgeometry_20685noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 363, "image": "images/SyntheticGeometry/syntheticgeometry_10416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 364, "image": "images/SyntheticGeometry/syntheticgeometry_37876noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 365, "image": "images/SyntheticGeometry/syntheticgeometry_05936noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 366, "image": "images/SyntheticGeometry/syntheticgeometry_43666.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 367, "image": "images/SyntheticGeometry/syntheticgeometry_02282noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 368, "image": "images/SyntheticGeometry/syntheticgeometry_40694.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 369, "image": "images/SyntheticGeometry/syntheticgeometry_40355.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 370, "image": "images/SyntheticGeometry/syntheticgeometry_42331noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 371, "image": "images/SyntheticGeometry/syntheticgeometry_13542.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 372, "image": "images/SyntheticGeometry/syntheticgeometry_26702noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 373, "image": "images/SyntheticGeometry/syntheticgeometry_42759noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 374, "image": "images/SyntheticGeometry/syntheticgeometry_22785.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 375, "image": "images/SyntheticGeometry/syntheticgeometry_12414noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 376, "image": "images/SyntheticGeometry/syntheticgeometry_41535.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 377, "image": "images/SyntheticGeometry/syntheticgeometry_40183.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 378, "image": "images/SyntheticGeometry/syntheticgeometry_32532noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JLG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 379, "image": "images/SyntheticGeometry/syntheticgeometry_38136noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 380, "image": "images/SyntheticGeometry/syntheticgeometry_05801noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 381, "image": "images/SyntheticGeometry/syntheticgeometry_44372noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 382, "image": "images/SyntheticGeometry/syntheticgeometry_43698.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 383, "image": "images/SyntheticGeometry/syntheticgeometry_32367noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 384, "image": "images/SyntheticGeometry/syntheticgeometry_18957.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 385, "image": "images/SyntheticGeometry/syntheticgeometry_24701noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 386, "image": "images/SyntheticGeometry/syntheticgeometry_17160.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 387, "image": "images/SyntheticGeometry/syntheticgeometry_32831.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 388, "image": "images/SyntheticGeometry/syntheticgeometry_16670noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 389, "image": "images/SyntheticGeometry/syntheticgeometry_25075.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 390, "image": "images/SyntheticGeometry/syntheticgeometry_27746.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 391, "image": "images/SyntheticGeometry/syntheticgeometry_13786noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 392, "image": "images/SyntheticGeometry/syntheticgeometry_14627noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 393, "image": "images/SyntheticGeometry/syntheticgeometry_29530noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 394, "image": "images/SyntheticGeometry/syntheticgeometry_37300noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 395, "image": "images/SyntheticGeometry/syntheticgeometry_37289.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 396, "image": "images/SyntheticGeometry/syntheticgeometry_49120noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 397, "image": "images/SyntheticGeometry/syntheticgeometry_31616noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 398, "image": "images/SyntheticGeometry/syntheticgeometry_39726.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 399, "image": "images/SyntheticGeometry/syntheticgeometry_38998noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 400, "image": "images/SyntheticGeometry/syntheticgeometry_28224noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 401, "image": "images/SyntheticGeometry/syntheticgeometry_48606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 402, "image": "images/SyntheticGeometry/syntheticgeometry_34369noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 403, "image": "images/SyntheticGeometry/syntheticgeometry_36957.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 404, "image": "images/SyntheticGeometry/syntheticgeometry_25277noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 405, "image": "images/SyntheticGeometry/syntheticgeometry_37799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 406, "image": "images/SyntheticGeometry/syntheticgeometry_16379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 407, "image": "images/SyntheticGeometry/syntheticgeometry_06868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 408, "image": "images/SyntheticGeometry/syntheticgeometry_45688.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 409, "image": "images/SyntheticGeometry/syntheticgeometry_05113noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 410, "image": "images/SyntheticGeometry/syntheticgeometry_10626noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 411, "image": "images/SyntheticGeometry/syntheticgeometry_17235noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 412, "image": "images/SyntheticGeometry/syntheticgeometry_41736.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 413, "image": "images/SyntheticGeometry/syntheticgeometry_18175.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 414, "image": "images/SyntheticGeometry/syntheticgeometry_37781noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 415, "image": "images/SyntheticGeometry/syntheticgeometry_45154.png", "conversations": [{"from": "human", "value": "\nThere is a triangle RCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 416, "image": "images/SyntheticGeometry/syntheticgeometry_43504noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 417, "image": "images/SyntheticGeometry/syntheticgeometry_34198noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 418, "image": "images/SyntheticGeometry/syntheticgeometry_44732noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 419, "image": "images/SyntheticGeometry/syntheticgeometry_28041.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 420, "image": "images/SyntheticGeometry/syntheticgeometry_24652.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 421, "image": "images/SyntheticGeometry/syntheticgeometry_37681noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 422, "image": "images/SyntheticGeometry/syntheticgeometry_28103noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AJO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 423, "image": "images/SyntheticGeometry/syntheticgeometry_33846noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 424, "image": "images/SyntheticGeometry/syntheticgeometry_34568.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 425, "image": "images/SyntheticGeometry/syntheticgeometry_23972noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 426, "image": "images/SyntheticGeometry/syntheticgeometry_15407noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 427, "image": "images/SyntheticGeometry/syntheticgeometry_37103.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 428, "image": "images/SyntheticGeometry/syntheticgeometry_21435noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 429, "image": "images/SyntheticGeometry/syntheticgeometry_41914.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 430, "image": "images/SyntheticGeometry/syntheticgeometry_30059.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 431, "image": "images/SyntheticGeometry/syntheticgeometry_44709noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 432, "image": "images/SyntheticGeometry/syntheticgeometry_27562.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 433, "image": "images/SyntheticGeometry/syntheticgeometry_08479.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 434, "image": "images/SyntheticGeometry/syntheticgeometry_46671noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 435, "image": "images/SyntheticGeometry/syntheticgeometry_19864noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 436, "image": "images/SyntheticGeometry/syntheticgeometry_26582.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 437, "image": "images/SyntheticGeometry/syntheticgeometry_35617.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 438, "image": "images/SyntheticGeometry/syntheticgeometry_13503noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 439, "image": "images/SyntheticGeometry/syntheticgeometry_42542.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 440, "image": "images/SyntheticGeometry/syntheticgeometry_21024.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 441, "image": "images/SyntheticGeometry/syntheticgeometry_43918.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 442, "image": "images/SyntheticGeometry/syntheticgeometry_04480noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 443, "image": "images/SyntheticGeometry/syntheticgeometry_29730noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 444, "image": "images/SyntheticGeometry/syntheticgeometry_11691noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 445, "image": "images/SyntheticGeometry/syntheticgeometry_13463noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 446, "image": "images/SyntheticGeometry/syntheticgeometry_46263.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 447, "image": "images/SyntheticGeometry/syntheticgeometry_31971noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 448, "image": "images/SyntheticGeometry/syntheticgeometry_48494noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 449, "image": "images/SyntheticGeometry/syntheticgeometry_45656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 450, "image": "images/SyntheticGeometry/syntheticgeometry_07203noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 451, "image": "images/SyntheticGeometry/syntheticgeometry_18373noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 452, "image": "images/SyntheticGeometry/syntheticgeometry_42272noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 453, "image": "images/SyntheticGeometry/syntheticgeometry_22313.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 454, "image": "images/SyntheticGeometry/syntheticgeometry_40180noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 455, "image": "images/SyntheticGeometry/syntheticgeometry_14978noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 456, "image": "images/SyntheticGeometry/syntheticgeometry_45650.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 457, "image": "images/SyntheticGeometry/syntheticgeometry_22730noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 458, "image": "images/SyntheticGeometry/syntheticgeometry_18640noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KNL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 459, "image": "images/SyntheticGeometry/syntheticgeometry_24001noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 460, "image": "images/SyntheticGeometry/syntheticgeometry_11451.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 461, "image": "images/SyntheticGeometry/syntheticgeometry_09730noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 462, "image": "images/SyntheticGeometry/syntheticgeometry_07581noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 463, "image": "images/SyntheticGeometry/syntheticgeometry_38803noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 464, "image": "images/SyntheticGeometry/syntheticgeometry_16767noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 465, "image": "images/SyntheticGeometry/syntheticgeometry_18417noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 466, "image": "images/SyntheticGeometry/syntheticgeometry_17567noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 467, "image": "images/SyntheticGeometry/syntheticgeometry_16061noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 468, "image": "images/SyntheticGeometry/syntheticgeometry_11019.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 469, "image": "images/SyntheticGeometry/syntheticgeometry_11284noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 470, "image": "images/SyntheticGeometry/syntheticgeometry_26301noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 471, "image": "images/SyntheticGeometry/syntheticgeometry_21425.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 472, "image": "images/SyntheticGeometry/syntheticgeometry_34214noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 473, "image": "images/SyntheticGeometry/syntheticgeometry_17190noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 474, "image": "images/SyntheticGeometry/syntheticgeometry_41684.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 475, "image": "images/SyntheticGeometry/syntheticgeometry_04929.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 476, "image": "images/SyntheticGeometry/syntheticgeometry_08749.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 477, "image": "images/SyntheticGeometry/syntheticgeometry_32643.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 478, "image": "images/SyntheticGeometry/syntheticgeometry_07510.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 479, "image": "images/SyntheticGeometry/syntheticgeometry_13989.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 480, "image": "images/SyntheticGeometry/syntheticgeometry_17942noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 481, "image": "images/SyntheticGeometry/syntheticgeometry_16553noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MPN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 482, "image": "images/SyntheticGeometry/syntheticgeometry_20070.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 483, "image": "images/SyntheticGeometry/syntheticgeometry_48396.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 484, "image": "images/SyntheticGeometry/syntheticgeometry_16809noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 485, "image": "images/SyntheticGeometry/syntheticgeometry_24369.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 486, "image": "images/SyntheticGeometry/syntheticgeometry_14361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MPN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 487, "image": "images/SyntheticGeometry/syntheticgeometry_23759.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 488, "image": "images/SyntheticGeometry/syntheticgeometry_13221.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 489, "image": "images/SyntheticGeometry/syntheticgeometry_36061noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 490, "image": "images/SyntheticGeometry/syntheticgeometry_12942.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 491, "image": "images/SyntheticGeometry/syntheticgeometry_02665.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 492, "image": "images/SyntheticGeometry/syntheticgeometry_42424noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 493, "image": "images/SyntheticGeometry/syntheticgeometry_05674noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 494, "image": "images/SyntheticGeometry/syntheticgeometry_31564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 495, "image": "images/SyntheticGeometry/syntheticgeometry_15080noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 496, "image": "images/SyntheticGeometry/syntheticgeometry_04903.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 497, "image": "images/SyntheticGeometry/syntheticgeometry_27205.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 498, "image": "images/SyntheticGeometry/syntheticgeometry_25420.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 499, "image": "images/SyntheticGeometry/syntheticgeometry_45911noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 500, "image": "images/SyntheticGeometry/syntheticgeometry_34345noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 501, "image": "images/SyntheticGeometry/syntheticgeometry_13835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 502, "image": "images/SyntheticGeometry/syntheticgeometry_25082.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 503, "image": "images/SyntheticGeometry/syntheticgeometry_48553.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 504, "image": "images/SyntheticGeometry/syntheticgeometry_13723noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 505, "image": "images/SyntheticGeometry/syntheticgeometry_03371.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 506, "image": "images/SyntheticGeometry/syntheticgeometry_18659.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 507, "image": "images/SyntheticGeometry/syntheticgeometry_37361noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 508, "image": "images/SyntheticGeometry/syntheticgeometry_36019noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 509, "image": "images/SyntheticGeometry/syntheticgeometry_37051.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 510, "image": "images/SyntheticGeometry/syntheticgeometry_24346.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 511, "image": "images/SyntheticGeometry/syntheticgeometry_32377.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 512, "image": "images/SyntheticGeometry/syntheticgeometry_03993.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 513, "image": "images/SyntheticGeometry/syntheticgeometry_02084noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 514, "image": "images/SyntheticGeometry/syntheticgeometry_21855.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 515, "image": "images/SyntheticGeometry/syntheticgeometry_05629noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 516, "image": "images/SyntheticGeometry/syntheticgeometry_39448.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 517, "image": "images/SyntheticGeometry/syntheticgeometry_48598noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 518, "image": "images/SyntheticGeometry/syntheticgeometry_13650.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 519, "image": "images/SyntheticGeometry/syntheticgeometry_45202.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 520, "image": "images/SyntheticGeometry/syntheticgeometry_17813noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 521, "image": "images/SyntheticGeometry/syntheticgeometry_41126noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 522, "image": "images/SyntheticGeometry/syntheticgeometry_47335noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 523, "image": "images/SyntheticGeometry/syntheticgeometry_25747noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 524, "image": "images/SyntheticGeometry/syntheticgeometry_46248.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 525, "image": "images/SyntheticGeometry/syntheticgeometry_37122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 526, "image": "images/SyntheticGeometry/syntheticgeometry_07242noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 527, "image": "images/SyntheticGeometry/syntheticgeometry_06264noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 528, "image": "images/SyntheticGeometry/syntheticgeometry_34273noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 529, "image": "images/SyntheticGeometry/syntheticgeometry_24987.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 530, "image": "images/SyntheticGeometry/syntheticgeometry_20120noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 531, "image": "images/SyntheticGeometry/syntheticgeometry_30300.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 532, "image": "images/SyntheticGeometry/syntheticgeometry_33781noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 533, "image": "images/SyntheticGeometry/syntheticgeometry_48089.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 534, "image": "images/SyntheticGeometry/syntheticgeometry_19188.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 535, "image": "images/SyntheticGeometry/syntheticgeometry_26723.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 536, "image": "images/SyntheticGeometry/syntheticgeometry_32769noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 537, "image": "images/SyntheticGeometry/syntheticgeometry_38145noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 538, "image": "images/SyntheticGeometry/syntheticgeometry_37800.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 539, "image": "images/SyntheticGeometry/syntheticgeometry_46445noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LBI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 540, "image": "images/SyntheticGeometry/syntheticgeometry_06471noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 541, "image": "images/SyntheticGeometry/syntheticgeometry_03588noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 542, "image": "images/SyntheticGeometry/syntheticgeometry_32872noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 543, "image": "images/SyntheticGeometry/syntheticgeometry_28709noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 544, "image": "images/SyntheticGeometry/syntheticgeometry_21807noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 545, "image": "images/SyntheticGeometry/syntheticgeometry_24838noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 546, "image": "images/SyntheticGeometry/syntheticgeometry_29900noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 547, "image": "images/SyntheticGeometry/syntheticgeometry_05352noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 548, "image": "images/SyntheticGeometry/syntheticgeometry_42300.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 549, "image": "images/SyntheticGeometry/syntheticgeometry_17141.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 550, "image": "images/SyntheticGeometry/syntheticgeometry_19436.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 551, "image": "images/SyntheticGeometry/syntheticgeometry_27713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 552, "image": "images/SyntheticGeometry/syntheticgeometry_43808.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 553, "image": "images/SyntheticGeometry/syntheticgeometry_12949noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 554, "image": "images/SyntheticGeometry/syntheticgeometry_02338.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 555, "image": "images/SyntheticGeometry/syntheticgeometry_40480noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 556, "image": "images/SyntheticGeometry/syntheticgeometry_09755.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 557, "image": "images/SyntheticGeometry/syntheticgeometry_32723noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 558, "image": "images/SyntheticGeometry/syntheticgeometry_26549.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 559, "image": "images/SyntheticGeometry/syntheticgeometry_04082.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 560, "image": "images/SyntheticGeometry/syntheticgeometry_31646.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 561, "image": "images/SyntheticGeometry/syntheticgeometry_47956noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 562, "image": "images/SyntheticGeometry/syntheticgeometry_36437noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 563, "image": "images/SyntheticGeometry/syntheticgeometry_35219noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 564, "image": "images/SyntheticGeometry/syntheticgeometry_33010.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 565, "image": "images/SyntheticGeometry/syntheticgeometry_47522.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 566, "image": "images/SyntheticGeometry/syntheticgeometry_49900noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 567, "image": "images/SyntheticGeometry/syntheticgeometry_23894noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 568, "image": "images/SyntheticGeometry/syntheticgeometry_25067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 569, "image": "images/SyntheticGeometry/syntheticgeometry_05584noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 570, "image": "images/SyntheticGeometry/syntheticgeometry_44340noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 571, "image": "images/SyntheticGeometry/syntheticgeometry_28994.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 572, "image": "images/SyntheticGeometry/syntheticgeometry_43070.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 573, "image": "images/SyntheticGeometry/syntheticgeometry_31250noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 574, "image": "images/SyntheticGeometry/syntheticgeometry_46228.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 575, "image": "images/SyntheticGeometry/syntheticgeometry_35233noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 576, "image": "images/SyntheticGeometry/syntheticgeometry_14329.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 577, "image": "images/SyntheticGeometry/syntheticgeometry_19458noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 578, "image": "images/SyntheticGeometry/syntheticgeometry_09413noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 579, "image": "images/SyntheticGeometry/syntheticgeometry_48860.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 580, "image": "images/SyntheticGeometry/syntheticgeometry_09209.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 581, "image": "images/SyntheticGeometry/syntheticgeometry_06421noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 582, "image": "images/SyntheticGeometry/syntheticgeometry_16244noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 583, "image": "images/SyntheticGeometry/syntheticgeometry_08116.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 584, "image": "images/SyntheticGeometry/syntheticgeometry_15576.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 585, "image": "images/SyntheticGeometry/syntheticgeometry_44726.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 586, "image": "images/SyntheticGeometry/syntheticgeometry_04403noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 587, "image": "images/SyntheticGeometry/syntheticgeometry_27424noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 588, "image": "images/SyntheticGeometry/syntheticgeometry_40865noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 589, "image": "images/SyntheticGeometry/syntheticgeometry_45045noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 590, "image": "images/SyntheticGeometry/syntheticgeometry_03833noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 591, "image": "images/SyntheticGeometry/syntheticgeometry_34384.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 592, "image": "images/SyntheticGeometry/syntheticgeometry_42816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 593, "image": "images/SyntheticGeometry/syntheticgeometry_08325.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 594, "image": "images/SyntheticGeometry/syntheticgeometry_40191.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 595, "image": "images/SyntheticGeometry/syntheticgeometry_07324.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 596, "image": "images/SyntheticGeometry/syntheticgeometry_23144.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 597, "image": "images/SyntheticGeometry/syntheticgeometry_15032noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 598, "image": "images/SyntheticGeometry/syntheticgeometry_29090noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 599, "image": "images/SyntheticGeometry/syntheticgeometry_22159.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 600, "image": "images/SyntheticGeometry/syntheticgeometry_10725noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 601, "image": "images/SyntheticGeometry/syntheticgeometry_05280noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 602, "image": "images/SyntheticGeometry/syntheticgeometry_43412noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 603, "image": "images/SyntheticGeometry/syntheticgeometry_41526noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 604, "image": "images/SyntheticGeometry/syntheticgeometry_44839.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 605, "image": "images/SyntheticGeometry/syntheticgeometry_10296.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 606, "image": "images/SyntheticGeometry/syntheticgeometry_46660noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 607, "image": "images/SyntheticGeometry/syntheticgeometry_39525.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 608, "image": "images/SyntheticGeometry/syntheticgeometry_26141.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 609, "image": "images/SyntheticGeometry/syntheticgeometry_31524noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 610, "image": "images/SyntheticGeometry/syntheticgeometry_06899.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 611, "image": "images/SyntheticGeometry/syntheticgeometry_48522.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 612, "image": "images/SyntheticGeometry/syntheticgeometry_45203noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 613, "image": "images/SyntheticGeometry/syntheticgeometry_24240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 614, "image": "images/SyntheticGeometry/syntheticgeometry_12926noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 615, "image": "images/SyntheticGeometry/syntheticgeometry_03521.png", "conversations": [{"from": "human", "value": "\nThere is a triangle KLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 616, "image": "images/SyntheticGeometry/syntheticgeometry_34415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 617, "image": "images/SyntheticGeometry/syntheticgeometry_13664.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 618, "image": "images/SyntheticGeometry/syntheticgeometry_10753noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 619, "image": "images/SyntheticGeometry/syntheticgeometry_19485noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 620, "image": "images/SyntheticGeometry/syntheticgeometry_18897noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 621, "image": "images/SyntheticGeometry/syntheticgeometry_20781noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 622, "image": "images/SyntheticGeometry/syntheticgeometry_27191noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 623, "image": "images/SyntheticGeometry/syntheticgeometry_44452.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 624, "image": "images/SyntheticGeometry/syntheticgeometry_13342.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 625, "image": "images/SyntheticGeometry/syntheticgeometry_06479.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 626, "image": "images/SyntheticGeometry/syntheticgeometry_40933noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 627, "image": "images/SyntheticGeometry/syntheticgeometry_49560.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 628, "image": "images/SyntheticGeometry/syntheticgeometry_28826noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 629, "image": "images/SyntheticGeometry/syntheticgeometry_31505noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 630, "image": "images/SyntheticGeometry/syntheticgeometry_40714.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 631, "image": "images/SyntheticGeometry/syntheticgeometry_15722noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 632, "image": "images/SyntheticGeometry/syntheticgeometry_07783noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 633, "image": "images/SyntheticGeometry/syntheticgeometry_14132noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 634, "image": "images/SyntheticGeometry/syntheticgeometry_38672noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 635, "image": "images/SyntheticGeometry/syntheticgeometry_05302.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 636, "image": "images/SyntheticGeometry/syntheticgeometry_06734noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GKD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 637, "image": "images/SyntheticGeometry/syntheticgeometry_48739noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 638, "image": "images/SyntheticGeometry/syntheticgeometry_41401noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 639, "image": "images/SyntheticGeometry/syntheticgeometry_19269noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 640, "image": "images/SyntheticGeometry/syntheticgeometry_39564.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 641, "image": "images/SyntheticGeometry/syntheticgeometry_04003noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 642, "image": "images/SyntheticGeometry/syntheticgeometry_27867noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 643, "image": "images/SyntheticGeometry/syntheticgeometry_33268noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 644, "image": "images/SyntheticGeometry/syntheticgeometry_14917.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 645, "image": "images/SyntheticGeometry/syntheticgeometry_25236noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 646, "image": "images/SyntheticGeometry/syntheticgeometry_29999.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 647, "image": "images/SyntheticGeometry/syntheticgeometry_18299noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 648, "image": "images/SyntheticGeometry/syntheticgeometry_33671noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 649, "image": "images/SyntheticGeometry/syntheticgeometry_35369noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 650, "image": "images/SyntheticGeometry/syntheticgeometry_03019noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 651, "image": "images/SyntheticGeometry/syntheticgeometry_03379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 652, "image": "images/SyntheticGeometry/syntheticgeometry_32306noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 653, "image": "images/SyntheticGeometry/syntheticgeometry_30218noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 654, "image": "images/SyntheticGeometry/syntheticgeometry_12235noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 655, "image": "images/SyntheticGeometry/syntheticgeometry_49144noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 656, "image": "images/SyntheticGeometry/syntheticgeometry_07346noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 657, "image": "images/SyntheticGeometry/syntheticgeometry_07916noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 658, "image": "images/SyntheticGeometry/syntheticgeometry_10350noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 659, "image": "images/SyntheticGeometry/syntheticgeometry_06066noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 660, "image": "images/SyntheticGeometry/syntheticgeometry_20778noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 661, "image": "images/SyntheticGeometry/syntheticgeometry_19151noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 662, "image": "images/SyntheticGeometry/syntheticgeometry_44872noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 663, "image": "images/SyntheticGeometry/syntheticgeometry_24435.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 664, "image": "images/SyntheticGeometry/syntheticgeometry_47627.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 665, "image": "images/SyntheticGeometry/syntheticgeometry_07774noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 666, "image": "images/SyntheticGeometry/syntheticgeometry_26156.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 667, "image": "images/SyntheticGeometry/syntheticgeometry_24999noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 668, "image": "images/SyntheticGeometry/syntheticgeometry_24619noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 669, "image": "images/SyntheticGeometry/syntheticgeometry_21523noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 670, "image": "images/SyntheticGeometry/syntheticgeometry_30242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 671, "image": "images/SyntheticGeometry/syntheticgeometry_31388.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 672, "image": "images/SyntheticGeometry/syntheticgeometry_44899noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 673, "image": "images/SyntheticGeometry/syntheticgeometry_45847noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 674, "image": "images/SyntheticGeometry/syntheticgeometry_10598noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 675, "image": "images/SyntheticGeometry/syntheticgeometry_27973.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 676, "image": "images/SyntheticGeometry/syntheticgeometry_12696noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 677, "image": "images/SyntheticGeometry/syntheticgeometry_30023noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 678, "image": "images/SyntheticGeometry/syntheticgeometry_03563noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 679, "image": "images/SyntheticGeometry/syntheticgeometry_13806noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 680, "image": "images/SyntheticGeometry/syntheticgeometry_40017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 681, "image": "images/SyntheticGeometry/syntheticgeometry_35587.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 682, "image": "images/SyntheticGeometry/syntheticgeometry_30308noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 683, "image": "images/SyntheticGeometry/syntheticgeometry_39987noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 684, "image": "images/SyntheticGeometry/syntheticgeometry_07517noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 685, "image": "images/SyntheticGeometry/syntheticgeometry_21436noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 686, "image": "images/SyntheticGeometry/syntheticgeometry_10163.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 687, "image": "images/SyntheticGeometry/syntheticgeometry_41069noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 688, "image": "images/SyntheticGeometry/syntheticgeometry_13412noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 689, "image": "images/SyntheticGeometry/syntheticgeometry_45623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ODG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 690, "image": "images/SyntheticGeometry/syntheticgeometry_06599.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 691, "image": "images/SyntheticGeometry/syntheticgeometry_25340noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 692, "image": "images/SyntheticGeometry/syntheticgeometry_31763noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 693, "image": "images/SyntheticGeometry/syntheticgeometry_31189noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 694, "image": "images/SyntheticGeometry/syntheticgeometry_36167.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 695, "image": "images/SyntheticGeometry/syntheticgeometry_26241noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 696, "image": "images/SyntheticGeometry/syntheticgeometry_42434.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 697, "image": "images/SyntheticGeometry/syntheticgeometry_43278noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 698, "image": "images/SyntheticGeometry/syntheticgeometry_04658noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 699, "image": "images/SyntheticGeometry/syntheticgeometry_26294noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 700, "image": "images/SyntheticGeometry/syntheticgeometry_06644noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 701, "image": "images/SyntheticGeometry/syntheticgeometry_47028noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 702, "image": "images/SyntheticGeometry/syntheticgeometry_08194.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 703, "image": "images/SyntheticGeometry/syntheticgeometry_33636.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 704, "image": "images/SyntheticGeometry/syntheticgeometry_07118.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 705, "image": "images/SyntheticGeometry/syntheticgeometry_15787.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 706, "image": "images/SyntheticGeometry/syntheticgeometry_37901noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GBL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 707, "image": "images/SyntheticGeometry/syntheticgeometry_30230noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 708, "image": "images/SyntheticGeometry/syntheticgeometry_27142noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 709, "image": "images/SyntheticGeometry/syntheticgeometry_18346noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 710, "image": "images/SyntheticGeometry/syntheticgeometry_32755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 711, "image": "images/SyntheticGeometry/syntheticgeometry_25979noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 712, "image": "images/SyntheticGeometry/syntheticgeometry_43306noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 713, "image": "images/SyntheticGeometry/syntheticgeometry_26720noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 714, "image": "images/SyntheticGeometry/syntheticgeometry_33296noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 715, "image": "images/SyntheticGeometry/syntheticgeometry_16557.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 716, "image": "images/SyntheticGeometry/syntheticgeometry_42489noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 717, "image": "images/SyntheticGeometry/syntheticgeometry_18493noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 718, "image": "images/SyntheticGeometry/syntheticgeometry_38467noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 719, "image": "images/SyntheticGeometry/syntheticgeometry_02652noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 720, "image": "images/SyntheticGeometry/syntheticgeometry_38356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 721, "image": "images/SyntheticGeometry/syntheticgeometry_09808.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 722, "image": "images/SyntheticGeometry/syntheticgeometry_02830noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 723, "image": "images/SyntheticGeometry/syntheticgeometry_48865noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 724, "image": "images/SyntheticGeometry/syntheticgeometry_11863.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 725, "image": "images/SyntheticGeometry/syntheticgeometry_16984noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 726, "image": "images/SyntheticGeometry/syntheticgeometry_16717noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 727, "image": "images/SyntheticGeometry/syntheticgeometry_47966.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 728, "image": "images/SyntheticGeometry/syntheticgeometry_29059.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 729, "image": "images/SyntheticGeometry/syntheticgeometry_48680noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 730, "image": "images/SyntheticGeometry/syntheticgeometry_20220.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 731, "image": "images/SyntheticGeometry/syntheticgeometry_06299.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 732, "image": "images/SyntheticGeometry/syntheticgeometry_24604noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 733, "image": "images/SyntheticGeometry/syntheticgeometry_19767noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 734, "image": "images/SyntheticGeometry/syntheticgeometry_18171.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 735, "image": "images/SyntheticGeometry/syntheticgeometry_28705.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 736, "image": "images/SyntheticGeometry/syntheticgeometry_21322noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 737, "image": "images/SyntheticGeometry/syntheticgeometry_06635.png", "conversations": [{"from": "human", "value": "\nThere is a triangle APO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 738, "image": "images/SyntheticGeometry/syntheticgeometry_32238noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 739, "image": "images/SyntheticGeometry/syntheticgeometry_46495noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 740, "image": "images/SyntheticGeometry/syntheticgeometry_21236noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 741, "image": "images/SyntheticGeometry/syntheticgeometry_47176.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 742, "image": "images/SyntheticGeometry/syntheticgeometry_27588.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 743, "image": "images/SyntheticGeometry/syntheticgeometry_03984.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 744, "image": "images/SyntheticGeometry/syntheticgeometry_18569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 745, "image": "images/SyntheticGeometry/syntheticgeometry_05949.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 746, "image": "images/SyntheticGeometry/syntheticgeometry_23835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 747, "image": "images/SyntheticGeometry/syntheticgeometry_05362noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 748, "image": "images/SyntheticGeometry/syntheticgeometry_35148.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 749, "image": "images/SyntheticGeometry/syntheticgeometry_22733.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 750, "image": "images/SyntheticGeometry/syntheticgeometry_16273.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 751, "image": "images/SyntheticGeometry/syntheticgeometry_46296.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 752, "image": "images/SyntheticGeometry/syntheticgeometry_45266.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 753, "image": "images/SyntheticGeometry/syntheticgeometry_39266noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 754, "image": "images/SyntheticGeometry/syntheticgeometry_29226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 755, "image": "images/SyntheticGeometry/syntheticgeometry_29826.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 756, "image": "images/SyntheticGeometry/syntheticgeometry_47397noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 757, "image": "images/SyntheticGeometry/syntheticgeometry_03421noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 758, "image": "images/SyntheticGeometry/syntheticgeometry_26277noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 759, "image": "images/SyntheticGeometry/syntheticgeometry_41305noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 760, "image": "images/SyntheticGeometry/syntheticgeometry_05354.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 761, "image": "images/SyntheticGeometry/syntheticgeometry_46600.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 762, "image": "images/SyntheticGeometry/syntheticgeometry_46720noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 763, "image": "images/SyntheticGeometry/syntheticgeometry_47622.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 764, "image": "images/SyntheticGeometry/syntheticgeometry_30251.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 765, "image": "images/SyntheticGeometry/syntheticgeometry_47326noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 766, "image": "images/SyntheticGeometry/syntheticgeometry_46510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 767, "image": "images/SyntheticGeometry/syntheticgeometry_26824.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 768, "image": "images/SyntheticGeometry/syntheticgeometry_21046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 769, "image": "images/SyntheticGeometry/syntheticgeometry_20736noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle QNK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 770, "image": "images/SyntheticGeometry/syntheticgeometry_44758noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 771, "image": "images/SyntheticGeometry/syntheticgeometry_10581.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 772, "image": "images/SyntheticGeometry/syntheticgeometry_05544noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IQJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 773, "image": "images/SyntheticGeometry/syntheticgeometry_39210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 774, "image": "images/SyntheticGeometry/syntheticgeometry_27061noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 775, "image": "images/SyntheticGeometry/syntheticgeometry_11531noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 776, "image": "images/SyntheticGeometry/syntheticgeometry_26820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 777, "image": "images/SyntheticGeometry/syntheticgeometry_23219.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 778, "image": "images/SyntheticGeometry/syntheticgeometry_17371noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 779, "image": "images/SyntheticGeometry/syntheticgeometry_42553noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 780, "image": "images/SyntheticGeometry/syntheticgeometry_28828.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 781, "image": "images/SyntheticGeometry/syntheticgeometry_40876noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NMC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 782, "image": "images/SyntheticGeometry/syntheticgeometry_30614.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 783, "image": "images/SyntheticGeometry/syntheticgeometry_27617noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 784, "image": "images/SyntheticGeometry/syntheticgeometry_47307noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 785, "image": "images/SyntheticGeometry/syntheticgeometry_32028noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 786, "image": "images/SyntheticGeometry/syntheticgeometry_29322.png", "conversations": [{"from": "human", "value": "\nThere is a triangle NMB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 787, "image": "images/SyntheticGeometry/syntheticgeometry_47469.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 788, "image": "images/SyntheticGeometry/syntheticgeometry_26726noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 789, "image": "images/SyntheticGeometry/syntheticgeometry_17639noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 790, "image": "images/SyntheticGeometry/syntheticgeometry_30538.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 791, "image": "images/SyntheticGeometry/syntheticgeometry_04337noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 792, "image": "images/SyntheticGeometry/syntheticgeometry_15396.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 793, "image": "images/SyntheticGeometry/syntheticgeometry_35460noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 794, "image": "images/SyntheticGeometry/syntheticgeometry_40976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 795, "image": "images/SyntheticGeometry/syntheticgeometry_11813.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 796, "image": "images/SyntheticGeometry/syntheticgeometry_13977noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 797, "image": "images/SyntheticGeometry/syntheticgeometry_17347noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 798, "image": "images/SyntheticGeometry/syntheticgeometry_07979.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 799, "image": "images/SyntheticGeometry/syntheticgeometry_03988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 800, "image": "images/SyntheticGeometry/syntheticgeometry_37125noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 801, "image": "images/SyntheticGeometry/syntheticgeometry_14798noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 802, "image": "images/SyntheticGeometry/syntheticgeometry_16776.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 803, "image": "images/SyntheticGeometry/syntheticgeometry_32244noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 804, "image": "images/SyntheticGeometry/syntheticgeometry_48433noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 805, "image": "images/SyntheticGeometry/syntheticgeometry_24489noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 806, "image": "images/SyntheticGeometry/syntheticgeometry_11176noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 807, "image": "images/SyntheticGeometry/syntheticgeometry_40856noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 808, "image": "images/SyntheticGeometry/syntheticgeometry_43300noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 809, "image": "images/SyntheticGeometry/syntheticgeometry_16985noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 810, "image": "images/SyntheticGeometry/syntheticgeometry_49147.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 811, "image": "images/SyntheticGeometry/syntheticgeometry_31251noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 812, "image": "images/SyntheticGeometry/syntheticgeometry_49642.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 813, "image": "images/SyntheticGeometry/syntheticgeometry_12705noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 814, "image": "images/SyntheticGeometry/syntheticgeometry_13740noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 815, "image": "images/SyntheticGeometry/syntheticgeometry_19740noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 816, "image": "images/SyntheticGeometry/syntheticgeometry_09626noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 817, "image": "images/SyntheticGeometry/syntheticgeometry_33095noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 818, "image": "images/SyntheticGeometry/syntheticgeometry_05894.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 819, "image": "images/SyntheticGeometry/syntheticgeometry_40823noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 820, "image": "images/SyntheticGeometry/syntheticgeometry_08167noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 821, "image": "images/SyntheticGeometry/syntheticgeometry_03890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 822, "image": "images/SyntheticGeometry/syntheticgeometry_15510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 823, "image": "images/SyntheticGeometry/syntheticgeometry_11689noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 824, "image": "images/SyntheticGeometry/syntheticgeometry_11494.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 825, "image": "images/SyntheticGeometry/syntheticgeometry_10806noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 826, "image": "images/SyntheticGeometry/syntheticgeometry_38607noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 827, "image": "images/SyntheticGeometry/syntheticgeometry_41900.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 828, "image": "images/SyntheticGeometry/syntheticgeometry_02659.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 829, "image": "images/SyntheticGeometry/syntheticgeometry_12496.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 830, "image": "images/SyntheticGeometry/syntheticgeometry_26420.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 831, "image": "images/SyntheticGeometry/syntheticgeometry_16661noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 832, "image": "images/SyntheticGeometry/syntheticgeometry_09292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 833, "image": "images/SyntheticGeometry/syntheticgeometry_45130noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 834, "image": "images/SyntheticGeometry/syntheticgeometry_06973.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 835, "image": "images/SyntheticGeometry/syntheticgeometry_31660noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 836, "image": "images/SyntheticGeometry/syntheticgeometry_21570noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 837, "image": "images/SyntheticGeometry/syntheticgeometry_22809.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 838, "image": "images/SyntheticGeometry/syntheticgeometry_11447.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 839, "image": "images/SyntheticGeometry/syntheticgeometry_46392noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 840, "image": "images/SyntheticGeometry/syntheticgeometry_08300noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 841, "image": "images/SyntheticGeometry/syntheticgeometry_40363noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 842, "image": "images/SyntheticGeometry/syntheticgeometry_04859noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LDK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 843, "image": "images/SyntheticGeometry/syntheticgeometry_29367noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 844, "image": "images/SyntheticGeometry/syntheticgeometry_11243.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 845, "image": "images/SyntheticGeometry/syntheticgeometry_47054.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 846, "image": "images/SyntheticGeometry/syntheticgeometry_19317noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 847, "image": "images/SyntheticGeometry/syntheticgeometry_42213noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 848, "image": "images/SyntheticGeometry/syntheticgeometry_07075.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 849, "image": "images/SyntheticGeometry/syntheticgeometry_30958noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 850, "image": "images/SyntheticGeometry/syntheticgeometry_12731noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 851, "image": "images/SyntheticGeometry/syntheticgeometry_44663noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 852, "image": "images/SyntheticGeometry/syntheticgeometry_37193noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 853, "image": "images/SyntheticGeometry/syntheticgeometry_17598noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 854, "image": "images/SyntheticGeometry/syntheticgeometry_42287noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 855, "image": "images/SyntheticGeometry/syntheticgeometry_27760.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 856, "image": "images/SyntheticGeometry/syntheticgeometry_47594noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 857, "image": "images/SyntheticGeometry/syntheticgeometry_38592.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 858, "image": "images/SyntheticGeometry/syntheticgeometry_46200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 859, "image": "images/SyntheticGeometry/syntheticgeometry_42105.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 860, "image": "images/SyntheticGeometry/syntheticgeometry_41034noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 861, "image": "images/SyntheticGeometry/syntheticgeometry_30562.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 862, "image": "images/SyntheticGeometry/syntheticgeometry_29447noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 863, "image": "images/SyntheticGeometry/syntheticgeometry_04540.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 864, "image": "images/SyntheticGeometry/syntheticgeometry_37098.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 865, "image": "images/SyntheticGeometry/syntheticgeometry_23045noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 866, "image": "images/SyntheticGeometry/syntheticgeometry_36662.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 867, "image": "images/SyntheticGeometry/syntheticgeometry_44978noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 868, "image": "images/SyntheticGeometry/syntheticgeometry_14089noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 869, "image": "images/SyntheticGeometry/syntheticgeometry_16183noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 870, "image": "images/SyntheticGeometry/syntheticgeometry_42708noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 871, "image": "images/SyntheticGeometry/syntheticgeometry_36490.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 872, "image": "images/SyntheticGeometry/syntheticgeometry_30655noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 873, "image": "images/SyntheticGeometry/syntheticgeometry_12000noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 874, "image": "images/SyntheticGeometry/syntheticgeometry_09179.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 875, "image": "images/SyntheticGeometry/syntheticgeometry_23726.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 876, "image": "images/SyntheticGeometry/syntheticgeometry_42212noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 877, "image": "images/SyntheticGeometry/syntheticgeometry_08605.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 878, "image": "images/SyntheticGeometry/syntheticgeometry_26786noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 879, "image": "images/SyntheticGeometry/syntheticgeometry_41405.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 880, "image": "images/SyntheticGeometry/syntheticgeometry_24821noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 881, "image": "images/SyntheticGeometry/syntheticgeometry_34454.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 882, "image": "images/SyntheticGeometry/syntheticgeometry_16175noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 883, "image": "images/SyntheticGeometry/syntheticgeometry_15898noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 884, "image": "images/SyntheticGeometry/syntheticgeometry_03617noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 885, "image": "images/SyntheticGeometry/syntheticgeometry_19759noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 886, "image": "images/SyntheticGeometry/syntheticgeometry_30182.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 887, "image": "images/SyntheticGeometry/syntheticgeometry_02843noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 888, "image": "images/SyntheticGeometry/syntheticgeometry_18497.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 889, "image": "images/SyntheticGeometry/syntheticgeometry_23194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 890, "image": "images/SyntheticGeometry/syntheticgeometry_38912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 891, "image": "images/SyntheticGeometry/syntheticgeometry_35170noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 892, "image": "images/SyntheticGeometry/syntheticgeometry_23174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 893, "image": "images/SyntheticGeometry/syntheticgeometry_44874noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 894, "image": "images/SyntheticGeometry/syntheticgeometry_17329noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 895, "image": "images/SyntheticGeometry/syntheticgeometry_04170.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 896, "image": "images/SyntheticGeometry/syntheticgeometry_19991noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 897, "image": "images/SyntheticGeometry/syntheticgeometry_28811noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 898, "image": "images/SyntheticGeometry/syntheticgeometry_22748.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 899, "image": "images/SyntheticGeometry/syntheticgeometry_10013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 900, "image": "images/SyntheticGeometry/syntheticgeometry_47256.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 901, "image": "images/SyntheticGeometry/syntheticgeometry_41301noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 902, "image": "images/SyntheticGeometry/syntheticgeometry_19582.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 903, "image": "images/SyntheticGeometry/syntheticgeometry_24916noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 904, "image": "images/SyntheticGeometry/syntheticgeometry_09591.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 905, "image": "images/SyntheticGeometry/syntheticgeometry_37657.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 906, "image": "images/SyntheticGeometry/syntheticgeometry_14249noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 907, "image": "images/SyntheticGeometry/syntheticgeometry_06773noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 908, "image": "images/SyntheticGeometry/syntheticgeometry_38461.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 909, "image": "images/SyntheticGeometry/syntheticgeometry_45409noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 910, "image": "images/SyntheticGeometry/syntheticgeometry_19891noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 911, "image": "images/SyntheticGeometry/syntheticgeometry_05937noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 912, "image": "images/SyntheticGeometry/syntheticgeometry_26104.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 913, "image": "images/SyntheticGeometry/syntheticgeometry_32177noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 914, "image": "images/SyntheticGeometry/syntheticgeometry_38223.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 915, "image": "images/SyntheticGeometry/syntheticgeometry_11859noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 916, "image": "images/SyntheticGeometry/syntheticgeometry_02446.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 917, "image": "images/SyntheticGeometry/syntheticgeometry_20006.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 918, "image": "images/SyntheticGeometry/syntheticgeometry_38402noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 919, "image": "images/SyntheticGeometry/syntheticgeometry_48672.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 920, "image": "images/SyntheticGeometry/syntheticgeometry_06065noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 921, "image": "images/SyntheticGeometry/syntheticgeometry_27840noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 922, "image": "images/SyntheticGeometry/syntheticgeometry_18800.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 923, "image": "images/SyntheticGeometry/syntheticgeometry_22892noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 924, "image": "images/SyntheticGeometry/syntheticgeometry_27500noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 925, "image": "images/SyntheticGeometry/syntheticgeometry_35034.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 926, "image": "images/SyntheticGeometry/syntheticgeometry_12635.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 927, "image": "images/SyntheticGeometry/syntheticgeometry_38866noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 928, "image": "images/SyntheticGeometry/syntheticgeometry_26310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 929, "image": "images/SyntheticGeometry/syntheticgeometry_04025noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 930, "image": "images/SyntheticGeometry/syntheticgeometry_15108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 931, "image": "images/SyntheticGeometry/syntheticgeometry_21201.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 932, "image": "images/SyntheticGeometry/syntheticgeometry_29681noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 933, "image": "images/SyntheticGeometry/syntheticgeometry_48792noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 934, "image": "images/SyntheticGeometry/syntheticgeometry_37214noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LBD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 935, "image": "images/SyntheticGeometry/syntheticgeometry_12280noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 936, "image": "images/SyntheticGeometry/syntheticgeometry_04639noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 937, "image": "images/SyntheticGeometry/syntheticgeometry_42994.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 938, "image": "images/SyntheticGeometry/syntheticgeometry_36154noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 939, "image": "images/SyntheticGeometry/syntheticgeometry_34843.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 940, "image": "images/SyntheticGeometry/syntheticgeometry_49747.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 941, "image": "images/SyntheticGeometry/syntheticgeometry_19745.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 942, "image": "images/SyntheticGeometry/syntheticgeometry_04222noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 943, "image": "images/SyntheticGeometry/syntheticgeometry_22045noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 944, "image": "images/SyntheticGeometry/syntheticgeometry_29019noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 945, "image": "images/SyntheticGeometry/syntheticgeometry_08495.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 946, "image": "images/SyntheticGeometry/syntheticgeometry_25963noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 947, "image": "images/SyntheticGeometry/syntheticgeometry_37111noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 948, "image": "images/SyntheticGeometry/syntheticgeometry_12109noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 949, "image": "images/SyntheticGeometry/syntheticgeometry_05705noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 950, "image": "images/SyntheticGeometry/syntheticgeometry_49523noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 951, "image": "images/SyntheticGeometry/syntheticgeometry_35194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 952, "image": "images/SyntheticGeometry/syntheticgeometry_02432noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 953, "image": "images/SyntheticGeometry/syntheticgeometry_03778.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 954, "image": "images/SyntheticGeometry/syntheticgeometry_20313noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 955, "image": "images/SyntheticGeometry/syntheticgeometry_12182noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 956, "image": "images/SyntheticGeometry/syntheticgeometry_15263.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 957, "image": "images/SyntheticGeometry/syntheticgeometry_18087noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 958, "image": "images/SyntheticGeometry/syntheticgeometry_06013.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 959, "image": "images/SyntheticGeometry/syntheticgeometry_03439.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 960, "image": "images/SyntheticGeometry/syntheticgeometry_29351noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 961, "image": "images/SyntheticGeometry/syntheticgeometry_06835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 962, "image": "images/SyntheticGeometry/syntheticgeometry_13648noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 963, "image": "images/SyntheticGeometry/syntheticgeometry_12420noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 964, "image": "images/SyntheticGeometry/syntheticgeometry_32940noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 965, "image": "images/SyntheticGeometry/syntheticgeometry_23600noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 966, "image": "images/SyntheticGeometry/syntheticgeometry_29120noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 967, "image": "images/SyntheticGeometry/syntheticgeometry_14705noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 968, "image": "images/SyntheticGeometry/syntheticgeometry_23302noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OIE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 969, "image": "images/SyntheticGeometry/syntheticgeometry_27269noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 970, "image": "images/SyntheticGeometry/syntheticgeometry_19919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 971, "image": "images/SyntheticGeometry/syntheticgeometry_44081.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 972, "image": "images/SyntheticGeometry/syntheticgeometry_34333.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 973, "image": "images/SyntheticGeometry/syntheticgeometry_43169.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 974, "image": "images/SyntheticGeometry/syntheticgeometry_21595noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 975, "image": "images/SyntheticGeometry/syntheticgeometry_45541.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 976, "image": "images/SyntheticGeometry/syntheticgeometry_22130noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 977, "image": "images/SyntheticGeometry/syntheticgeometry_02605noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 978, "image": "images/SyntheticGeometry/syntheticgeometry_18396noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IOB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 979, "image": "images/SyntheticGeometry/syntheticgeometry_23864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 980, "image": "images/SyntheticGeometry/syntheticgeometry_43996.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 981, "image": "images/SyntheticGeometry/syntheticgeometry_27044.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DPA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 982, "image": "images/SyntheticGeometry/syntheticgeometry_36249.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 983, "image": "images/SyntheticGeometry/syntheticgeometry_13587.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 984, "image": "images/SyntheticGeometry/syntheticgeometry_39769noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 985, "image": "images/SyntheticGeometry/syntheticgeometry_09375noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ONP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 986, "image": "images/SyntheticGeometry/syntheticgeometry_15053noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 987, "image": "images/SyntheticGeometry/syntheticgeometry_47857noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 988, "image": "images/SyntheticGeometry/syntheticgeometry_35887.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 989, "image": "images/SyntheticGeometry/syntheticgeometry_45209noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 990, "image": "images/SyntheticGeometry/syntheticgeometry_22573noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 991, "image": "images/SyntheticGeometry/syntheticgeometry_07216.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 992, "image": "images/SyntheticGeometry/syntheticgeometry_23180.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 993, "image": "images/SyntheticGeometry/syntheticgeometry_32941.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 994, "image": "images/SyntheticGeometry/syntheticgeometry_11491noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 995, "image": "images/SyntheticGeometry/syntheticgeometry_10146noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 996, "image": "images/SyntheticGeometry/syntheticgeometry_24079.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 997, "image": "images/SyntheticGeometry/syntheticgeometry_15952noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 998, "image": "images/SyntheticGeometry/syntheticgeometry_06414noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 999, "image": "images/SyntheticGeometry/syntheticgeometry_02228noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1000, "image": "images/SyntheticGeometry/syntheticgeometry_47866.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1001, "image": "images/SyntheticGeometry/syntheticgeometry_08675noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1002, "image": "images/SyntheticGeometry/syntheticgeometry_48871.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1003, "image": "images/SyntheticGeometry/syntheticgeometry_07078noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1004, "image": "images/SyntheticGeometry/syntheticgeometry_41049.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1005, "image": "images/SyntheticGeometry/syntheticgeometry_21619noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1006, "image": "images/SyntheticGeometry/syntheticgeometry_02131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1007, "image": "images/SyntheticGeometry/syntheticgeometry_49105noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1008, "image": "images/SyntheticGeometry/syntheticgeometry_24237noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1009, "image": "images/SyntheticGeometry/syntheticgeometry_06310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1010, "image": "images/SyntheticGeometry/syntheticgeometry_17522noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1011, "image": "images/SyntheticGeometry/syntheticgeometry_49568.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1012, "image": "images/SyntheticGeometry/syntheticgeometry_33317.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1013, "image": "images/SyntheticGeometry/syntheticgeometry_08834noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1014, "image": "images/SyntheticGeometry/syntheticgeometry_22485noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1015, "image": "images/SyntheticGeometry/syntheticgeometry_36239noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1016, "image": "images/SyntheticGeometry/syntheticgeometry_15097.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1017, "image": "images/SyntheticGeometry/syntheticgeometry_41337noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1018, "image": "images/SyntheticGeometry/syntheticgeometry_41788noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1019, "image": "images/SyntheticGeometry/syntheticgeometry_07247noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1020, "image": "images/SyntheticGeometry/syntheticgeometry_11817noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1021, "image": "images/SyntheticGeometry/syntheticgeometry_36350.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1022, "image": "images/SyntheticGeometry/syntheticgeometry_34119.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1023, "image": "images/SyntheticGeometry/syntheticgeometry_23415.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1024, "image": "images/SyntheticGeometry/syntheticgeometry_25228.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1025, "image": "images/SyntheticGeometry/syntheticgeometry_02960.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1026, "image": "images/SyntheticGeometry/syntheticgeometry_07195noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1027, "image": "images/SyntheticGeometry/syntheticgeometry_26575noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1028, "image": "images/SyntheticGeometry/syntheticgeometry_28520.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1029, "image": "images/SyntheticGeometry/syntheticgeometry_41319noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OPK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1030, "image": "images/SyntheticGeometry/syntheticgeometry_14339.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1031, "image": "images/SyntheticGeometry/syntheticgeometry_36555.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1032, "image": "images/SyntheticGeometry/syntheticgeometry_30176noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1033, "image": "images/SyntheticGeometry/syntheticgeometry_03818noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1034, "image": "images/SyntheticGeometry/syntheticgeometry_45988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1035, "image": "images/SyntheticGeometry/syntheticgeometry_06651noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1036, "image": "images/SyntheticGeometry/syntheticgeometry_30354noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1037, "image": "images/SyntheticGeometry/syntheticgeometry_27483.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1038, "image": "images/SyntheticGeometry/syntheticgeometry_06499noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1039, "image": "images/SyntheticGeometry/syntheticgeometry_37835.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1040, "image": "images/SyntheticGeometry/syntheticgeometry_44231noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1041, "image": "images/SyntheticGeometry/syntheticgeometry_32287noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1042, "image": "images/SyntheticGeometry/syntheticgeometry_22634.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1043, "image": "images/SyntheticGeometry/syntheticgeometry_17588.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1044, "image": "images/SyntheticGeometry/syntheticgeometry_04526.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1045, "image": "images/SyntheticGeometry/syntheticgeometry_26031.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1046, "image": "images/SyntheticGeometry/syntheticgeometry_12841noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1047, "image": "images/SyntheticGeometry/syntheticgeometry_16848.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1048, "image": "images/SyntheticGeometry/syntheticgeometry_22569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1049, "image": "images/SyntheticGeometry/syntheticgeometry_31540.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1050, "image": "images/SyntheticGeometry/syntheticgeometry_48846noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1051, "image": "images/SyntheticGeometry/syntheticgeometry_45289.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1052, "image": "images/SyntheticGeometry/syntheticgeometry_47674.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1053, "image": "images/SyntheticGeometry/syntheticgeometry_19866.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1054, "image": "images/SyntheticGeometry/syntheticgeometry_09915noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1055, "image": "images/SyntheticGeometry/syntheticgeometry_22514noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1056, "image": "images/SyntheticGeometry/syntheticgeometry_10848noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1057, "image": "images/SyntheticGeometry/syntheticgeometry_13097.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1058, "image": "images/SyntheticGeometry/syntheticgeometry_49519.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1059, "image": "images/SyntheticGeometry/syntheticgeometry_17010noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1060, "image": "images/SyntheticGeometry/syntheticgeometry_49889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1061, "image": "images/SyntheticGeometry/syntheticgeometry_08598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1062, "image": "images/SyntheticGeometry/syntheticgeometry_38477noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1063, "image": "images/SyntheticGeometry/syntheticgeometry_21825noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1064, "image": "images/SyntheticGeometry/syntheticgeometry_42664.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1065, "image": "images/SyntheticGeometry/syntheticgeometry_48471noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1066, "image": "images/SyntheticGeometry/syntheticgeometry_43481.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1067, "image": "images/SyntheticGeometry/syntheticgeometry_02130noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1068, "image": "images/SyntheticGeometry/syntheticgeometry_26297noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1069, "image": "images/SyntheticGeometry/syntheticgeometry_19055.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1070, "image": "images/SyntheticGeometry/syntheticgeometry_06171noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1071, "image": "images/SyntheticGeometry/syntheticgeometry_12159.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1072, "image": "images/SyntheticGeometry/syntheticgeometry_16799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1073, "image": "images/SyntheticGeometry/syntheticgeometry_07156noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1074, "image": "images/SyntheticGeometry/syntheticgeometry_13971.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ILH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1075, "image": "images/SyntheticGeometry/syntheticgeometry_03618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1076, "image": "images/SyntheticGeometry/syntheticgeometry_03959noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1077, "image": "images/SyntheticGeometry/syntheticgeometry_49233.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1078, "image": "images/SyntheticGeometry/syntheticgeometry_27863.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1079, "image": "images/SyntheticGeometry/syntheticgeometry_49845noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1080, "image": "images/SyntheticGeometry/syntheticgeometry_44348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1081, "image": "images/SyntheticGeometry/syntheticgeometry_22711noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1082, "image": "images/SyntheticGeometry/syntheticgeometry_41074noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1083, "image": "images/SyntheticGeometry/syntheticgeometry_29081noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1084, "image": "images/SyntheticGeometry/syntheticgeometry_10565.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1085, "image": "images/SyntheticGeometry/syntheticgeometry_13419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1086, "image": "images/SyntheticGeometry/syntheticgeometry_03969.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1087, "image": "images/SyntheticGeometry/syntheticgeometry_10254noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1088, "image": "images/SyntheticGeometry/syntheticgeometry_17117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1089, "image": "images/SyntheticGeometry/syntheticgeometry_09202noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1090, "image": "images/SyntheticGeometry/syntheticgeometry_33216.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1091, "image": "images/SyntheticGeometry/syntheticgeometry_06504noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1092, "image": "images/SyntheticGeometry/syntheticgeometry_44112.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1093, "image": "images/SyntheticGeometry/syntheticgeometry_42229noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1094, "image": "images/SyntheticGeometry/syntheticgeometry_29378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1095, "image": "images/SyntheticGeometry/syntheticgeometry_12443.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1096, "image": "images/SyntheticGeometry/syntheticgeometry_42534noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1097, "image": "images/SyntheticGeometry/syntheticgeometry_11150noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1098, "image": "images/SyntheticGeometry/syntheticgeometry_08872.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1099, "image": "images/SyntheticGeometry/syntheticgeometry_11514.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1100, "image": "images/SyntheticGeometry/syntheticgeometry_03718noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1101, "image": "images/SyntheticGeometry/syntheticgeometry_23816noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1102, "image": "images/SyntheticGeometry/syntheticgeometry_17654noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1103, "image": "images/SyntheticGeometry/syntheticgeometry_47903.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1104, "image": "images/SyntheticGeometry/syntheticgeometry_04171noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1105, "image": "images/SyntheticGeometry/syntheticgeometry_05355.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1106, "image": "images/SyntheticGeometry/syntheticgeometry_09916noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1107, "image": "images/SyntheticGeometry/syntheticgeometry_19689.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1108, "image": "images/SyntheticGeometry/syntheticgeometry_08849noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1109, "image": "images/SyntheticGeometry/syntheticgeometry_06618noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1110, "image": "images/SyntheticGeometry/syntheticgeometry_03270noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1111, "image": "images/SyntheticGeometry/syntheticgeometry_48057.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1112, "image": "images/SyntheticGeometry/syntheticgeometry_14755.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1113, "image": "images/SyntheticGeometry/syntheticgeometry_04714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1114, "image": "images/SyntheticGeometry/syntheticgeometry_05470noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1115, "image": "images/SyntheticGeometry/syntheticgeometry_24992noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1116, "image": "images/SyntheticGeometry/syntheticgeometry_27143noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1117, "image": "images/SyntheticGeometry/syntheticgeometry_08541noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1118, "image": "images/SyntheticGeometry/syntheticgeometry_05830noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1119, "image": "images/SyntheticGeometry/syntheticgeometry_38597noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1120, "image": "images/SyntheticGeometry/syntheticgeometry_27378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1121, "image": "images/SyntheticGeometry/syntheticgeometry_44451noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1122, "image": "images/SyntheticGeometry/syntheticgeometry_20909.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1123, "image": "images/SyntheticGeometry/syntheticgeometry_19250.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1124, "image": "images/SyntheticGeometry/syntheticgeometry_27264noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FLP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1125, "image": "images/SyntheticGeometry/syntheticgeometry_16107.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1126, "image": "images/SyntheticGeometry/syntheticgeometry_32829noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1127, "image": "images/SyntheticGeometry/syntheticgeometry_29951.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1128, "image": "images/SyntheticGeometry/syntheticgeometry_06711noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1129, "image": "images/SyntheticGeometry/syntheticgeometry_46656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1130, "image": "images/SyntheticGeometry/syntheticgeometry_43907noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1131, "image": "images/SyntheticGeometry/syntheticgeometry_15813noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1132, "image": "images/SyntheticGeometry/syntheticgeometry_10198noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1133, "image": "images/SyntheticGeometry/syntheticgeometry_40394.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1134, "image": "images/SyntheticGeometry/syntheticgeometry_24717.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1135, "image": "images/SyntheticGeometry/syntheticgeometry_31934noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1136, "image": "images/SyntheticGeometry/syntheticgeometry_19589.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1137, "image": "images/SyntheticGeometry/syntheticgeometry_11769.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1138, "image": "images/SyntheticGeometry/syntheticgeometry_08410.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1139, "image": "images/SyntheticGeometry/syntheticgeometry_27869.png", "conversations": [{"from": "human", "value": "\nThere is a triangle NAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1140, "image": "images/SyntheticGeometry/syntheticgeometry_18323noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1141, "image": "images/SyntheticGeometry/syntheticgeometry_45277noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1142, "image": "images/SyntheticGeometry/syntheticgeometry_21847.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1143, "image": "images/SyntheticGeometry/syntheticgeometry_19370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1144, "image": "images/SyntheticGeometry/syntheticgeometry_10469.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1145, "image": "images/SyntheticGeometry/syntheticgeometry_40455noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1146, "image": "images/SyntheticGeometry/syntheticgeometry_02871noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1147, "image": "images/SyntheticGeometry/syntheticgeometry_41368noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1148, "image": "images/SyntheticGeometry/syntheticgeometry_18424noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1149, "image": "images/SyntheticGeometry/syntheticgeometry_23251.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1150, "image": "images/SyntheticGeometry/syntheticgeometry_42576noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1151, "image": "images/SyntheticGeometry/syntheticgeometry_38230noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1152, "image": "images/SyntheticGeometry/syntheticgeometry_37382noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1153, "image": "images/SyntheticGeometry/syntheticgeometry_31560.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1154, "image": "images/SyntheticGeometry/syntheticgeometry_47864noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1155, "image": "images/SyntheticGeometry/syntheticgeometry_49980noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1156, "image": "images/SyntheticGeometry/syntheticgeometry_20382noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1157, "image": "images/SyntheticGeometry/syntheticgeometry_08610.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1158, "image": "images/SyntheticGeometry/syntheticgeometry_32892.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1159, "image": "images/SyntheticGeometry/syntheticgeometry_18039noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1160, "image": "images/SyntheticGeometry/syntheticgeometry_11753noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1161, "image": "images/SyntheticGeometry/syntheticgeometry_15655noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1162, "image": "images/SyntheticGeometry/syntheticgeometry_16696noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1163, "image": "images/SyntheticGeometry/syntheticgeometry_48059noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1164, "image": "images/SyntheticGeometry/syntheticgeometry_33071noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1165, "image": "images/SyntheticGeometry/syntheticgeometry_44239.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1166, "image": "images/SyntheticGeometry/syntheticgeometry_29718.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1167, "image": "images/SyntheticGeometry/syntheticgeometry_25733.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1168, "image": "images/SyntheticGeometry/syntheticgeometry_43764.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1169, "image": "images/SyntheticGeometry/syntheticgeometry_41578noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1170, "image": "images/SyntheticGeometry/syntheticgeometry_19931.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1171, "image": "images/SyntheticGeometry/syntheticgeometry_27499.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1172, "image": "images/SyntheticGeometry/syntheticgeometry_14862noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1173, "image": "images/SyntheticGeometry/syntheticgeometry_35124noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1174, "image": "images/SyntheticGeometry/syntheticgeometry_40608noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1175, "image": "images/SyntheticGeometry/syntheticgeometry_03046noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1176, "image": "images/SyntheticGeometry/syntheticgeometry_33986.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1177, "image": "images/SyntheticGeometry/syntheticgeometry_12129.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1178, "image": "images/SyntheticGeometry/syntheticgeometry_30032noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1179, "image": "images/SyntheticGeometry/syntheticgeometry_15622noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1180, "image": "images/SyntheticGeometry/syntheticgeometry_44922noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1181, "image": "images/SyntheticGeometry/syntheticgeometry_30427noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1182, "image": "images/SyntheticGeometry/syntheticgeometry_28700.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1183, "image": "images/SyntheticGeometry/syntheticgeometry_38370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1184, "image": "images/SyntheticGeometry/syntheticgeometry_31720noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1185, "image": "images/SyntheticGeometry/syntheticgeometry_18617.png", "conversations": [{"from": "human", "value": "\nThere is a triangle OCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1186, "image": "images/SyntheticGeometry/syntheticgeometry_10101noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1187, "image": "images/SyntheticGeometry/syntheticgeometry_39928.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1188, "image": "images/SyntheticGeometry/syntheticgeometry_16502noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1189, "image": "images/SyntheticGeometry/syntheticgeometry_34665noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1190, "image": "images/SyntheticGeometry/syntheticgeometry_38962noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1191, "image": "images/SyntheticGeometry/syntheticgeometry_27890.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1192, "image": "images/SyntheticGeometry/syntheticgeometry_27366.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1193, "image": "images/SyntheticGeometry/syntheticgeometry_15857.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1194, "image": "images/SyntheticGeometry/syntheticgeometry_05237noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1195, "image": "images/SyntheticGeometry/syntheticgeometry_44046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1196, "image": "images/SyntheticGeometry/syntheticgeometry_04103noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1197, "image": "images/SyntheticGeometry/syntheticgeometry_24749.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1198, "image": "images/SyntheticGeometry/syntheticgeometry_20811.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1199, "image": "images/SyntheticGeometry/syntheticgeometry_17255noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1200, "image": "images/SyntheticGeometry/syntheticgeometry_36057.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1201, "image": "images/SyntheticGeometry/syntheticgeometry_19174.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1202, "image": "images/SyntheticGeometry/syntheticgeometry_06722noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1203, "image": "images/SyntheticGeometry/syntheticgeometry_12211.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1204, "image": "images/SyntheticGeometry/syntheticgeometry_25649noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1205, "image": "images/SyntheticGeometry/syntheticgeometry_31162.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1206, "image": "images/SyntheticGeometry/syntheticgeometry_13736noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1207, "image": "images/SyntheticGeometry/syntheticgeometry_32383.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1208, "image": "images/SyntheticGeometry/syntheticgeometry_42184.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1209, "image": "images/SyntheticGeometry/syntheticgeometry_28418.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1210, "image": "images/SyntheticGeometry/syntheticgeometry_29835noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1211, "image": "images/SyntheticGeometry/syntheticgeometry_34635noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1212, "image": "images/SyntheticGeometry/syntheticgeometry_25265noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1213, "image": "images/SyntheticGeometry/syntheticgeometry_16981noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1214, "image": "images/SyntheticGeometry/syntheticgeometry_08789noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1215, "image": "images/SyntheticGeometry/syntheticgeometry_47142noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1216, "image": "images/SyntheticGeometry/syntheticgeometry_28049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1217, "image": "images/SyntheticGeometry/syntheticgeometry_15922noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1218, "image": "images/SyntheticGeometry/syntheticgeometry_29317noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1219, "image": "images/SyntheticGeometry/syntheticgeometry_08269noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1220, "image": "images/SyntheticGeometry/syntheticgeometry_34687noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1221, "image": "images/SyntheticGeometry/syntheticgeometry_04979noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1222, "image": "images/SyntheticGeometry/syntheticgeometry_05784noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1223, "image": "images/SyntheticGeometry/syntheticgeometry_25410noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1224, "image": "images/SyntheticGeometry/syntheticgeometry_07537.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1225, "image": "images/SyntheticGeometry/syntheticgeometry_09565noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1226, "image": "images/SyntheticGeometry/syntheticgeometry_07908noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1227, "image": "images/SyntheticGeometry/syntheticgeometry_44464noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1228, "image": "images/SyntheticGeometry/syntheticgeometry_18252.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1229, "image": "images/SyntheticGeometry/syntheticgeometry_35704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1230, "image": "images/SyntheticGeometry/syntheticgeometry_45806noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1231, "image": "images/SyntheticGeometry/syntheticgeometry_29163noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1232, "image": "images/SyntheticGeometry/syntheticgeometry_22174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1233, "image": "images/SyntheticGeometry/syntheticgeometry_26975.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1234, "image": "images/SyntheticGeometry/syntheticgeometry_07864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1235, "image": "images/SyntheticGeometry/syntheticgeometry_45079noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1236, "image": "images/SyntheticGeometry/syntheticgeometry_10346.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1237, "image": "images/SyntheticGeometry/syntheticgeometry_21724noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1238, "image": "images/SyntheticGeometry/syntheticgeometry_20787noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1239, "image": "images/SyntheticGeometry/syntheticgeometry_08873.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1240, "image": "images/SyntheticGeometry/syntheticgeometry_48755.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1241, "image": "images/SyntheticGeometry/syntheticgeometry_37480.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1242, "image": "images/SyntheticGeometry/syntheticgeometry_16280.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1243, "image": "images/SyntheticGeometry/syntheticgeometry_13256noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1244, "image": "images/SyntheticGeometry/syntheticgeometry_48343noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1245, "image": "images/SyntheticGeometry/syntheticgeometry_02982.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1246, "image": "images/SyntheticGeometry/syntheticgeometry_49234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1247, "image": "images/SyntheticGeometry/syntheticgeometry_27300.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1248, "image": "images/SyntheticGeometry/syntheticgeometry_30619.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1249, "image": "images/SyntheticGeometry/syntheticgeometry_04734.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1250, "image": "images/SyntheticGeometry/syntheticgeometry_32746noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1251, "image": "images/SyntheticGeometry/syntheticgeometry_33431.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1252, "image": "images/SyntheticGeometry/syntheticgeometry_35007noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1253, "image": "images/SyntheticGeometry/syntheticgeometry_21142.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1254, "image": "images/SyntheticGeometry/syntheticgeometry_34494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1255, "image": "images/SyntheticGeometry/syntheticgeometry_41458noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1256, "image": "images/SyntheticGeometry/syntheticgeometry_24316noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1257, "image": "images/SyntheticGeometry/syntheticgeometry_39000noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1258, "image": "images/SyntheticGeometry/syntheticgeometry_32703noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1259, "image": "images/SyntheticGeometry/syntheticgeometry_34247.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1260, "image": "images/SyntheticGeometry/syntheticgeometry_17676noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1261, "image": "images/SyntheticGeometry/syntheticgeometry_32035noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1262, "image": "images/SyntheticGeometry/syntheticgeometry_17041noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1263, "image": "images/SyntheticGeometry/syntheticgeometry_34129noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1264, "image": "images/SyntheticGeometry/syntheticgeometry_45155noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1265, "image": "images/SyntheticGeometry/syntheticgeometry_10920noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1266, "image": "images/SyntheticGeometry/syntheticgeometry_02915noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1267, "image": "images/SyntheticGeometry/syntheticgeometry_35491noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1268, "image": "images/SyntheticGeometry/syntheticgeometry_06978noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1269, "image": "images/SyntheticGeometry/syntheticgeometry_33684.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1270, "image": "images/SyntheticGeometry/syntheticgeometry_11655.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1271, "image": "images/SyntheticGeometry/syntheticgeometry_42164.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1272, "image": "images/SyntheticGeometry/syntheticgeometry_10219noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1273, "image": "images/SyntheticGeometry/syntheticgeometry_49332.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1274, "image": "images/SyntheticGeometry/syntheticgeometry_29688noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1275, "image": "images/SyntheticGeometry/syntheticgeometry_49019noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1276, "image": "images/SyntheticGeometry/syntheticgeometry_21761noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1277, "image": "images/SyntheticGeometry/syntheticgeometry_46578.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1278, "image": "images/SyntheticGeometry/syntheticgeometry_18945noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1279, "image": "images/SyntheticGeometry/syntheticgeometry_10656noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1280, "image": "images/SyntheticGeometry/syntheticgeometry_30704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1281, "image": "images/SyntheticGeometry/syntheticgeometry_36688noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1282, "image": "images/SyntheticGeometry/syntheticgeometry_45345.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1283, "image": "images/SyntheticGeometry/syntheticgeometry_11526noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1284, "image": "images/SyntheticGeometry/syntheticgeometry_47898noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1285, "image": "images/SyntheticGeometry/syntheticgeometry_15633.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1286, "image": "images/SyntheticGeometry/syntheticgeometry_36578.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1287, "image": "images/SyntheticGeometry/syntheticgeometry_35331.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1288, "image": "images/SyntheticGeometry/syntheticgeometry_22333noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1289, "image": "images/SyntheticGeometry/syntheticgeometry_02256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1290, "image": "images/SyntheticGeometry/syntheticgeometry_20284noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1291, "image": "images/SyntheticGeometry/syntheticgeometry_13582.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1292, "image": "images/SyntheticGeometry/syntheticgeometry_47270.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1293, "image": "images/SyntheticGeometry/syntheticgeometry_19246noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1294, "image": "images/SyntheticGeometry/syntheticgeometry_08125noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1295, "image": "images/SyntheticGeometry/syntheticgeometry_28021noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1296, "image": "images/SyntheticGeometry/syntheticgeometry_12858noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1297, "image": "images/SyntheticGeometry/syntheticgeometry_21246.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1298, "image": "images/SyntheticGeometry/syntheticgeometry_06538.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1299, "image": "images/SyntheticGeometry/syntheticgeometry_41018noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1300, "image": "images/SyntheticGeometry/syntheticgeometry_25968.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1301, "image": "images/SyntheticGeometry/syntheticgeometry_47623noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1302, "image": "images/SyntheticGeometry/syntheticgeometry_33799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KDJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1303, "image": "images/SyntheticGeometry/syntheticgeometry_38339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1304, "image": "images/SyntheticGeometry/syntheticgeometry_20155noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1305, "image": "images/SyntheticGeometry/syntheticgeometry_22370.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1306, "image": "images/SyntheticGeometry/syntheticgeometry_11681noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1307, "image": "images/SyntheticGeometry/syntheticgeometry_07374noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1308, "image": "images/SyntheticGeometry/syntheticgeometry_30701noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1309, "image": "images/SyntheticGeometry/syntheticgeometry_43308noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DMQ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1310, "image": "images/SyntheticGeometry/syntheticgeometry_04907.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1311, "image": "images/SyntheticGeometry/syntheticgeometry_48472.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1312, "image": "images/SyntheticGeometry/syntheticgeometry_48021noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1313, "image": "images/SyntheticGeometry/syntheticgeometry_22977.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1314, "image": "images/SyntheticGeometry/syntheticgeometry_49168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LBI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1315, "image": "images/SyntheticGeometry/syntheticgeometry_35067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1316, "image": "images/SyntheticGeometry/syntheticgeometry_22895.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1317, "image": "images/SyntheticGeometry/syntheticgeometry_44085.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1318, "image": "images/SyntheticGeometry/syntheticgeometry_36776noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1319, "image": "images/SyntheticGeometry/syntheticgeometry_35215noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1320, "image": "images/SyntheticGeometry/syntheticgeometry_02844.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1321, "image": "images/SyntheticGeometry/syntheticgeometry_43475noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1322, "image": "images/SyntheticGeometry/syntheticgeometry_25016noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1323, "image": "images/SyntheticGeometry/syntheticgeometry_43984noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1324, "image": "images/SyntheticGeometry/syntheticgeometry_04017.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1325, "image": "images/SyntheticGeometry/syntheticgeometry_16901noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1326, "image": "images/SyntheticGeometry/syntheticgeometry_03621.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1327, "image": "images/SyntheticGeometry/syntheticgeometry_46315.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1328, "image": "images/SyntheticGeometry/syntheticgeometry_41251noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1329, "image": "images/SyntheticGeometry/syntheticgeometry_22931noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1330, "image": "images/SyntheticGeometry/syntheticgeometry_46550.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1331, "image": "images/SyntheticGeometry/syntheticgeometry_27837noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1332, "image": "images/SyntheticGeometry/syntheticgeometry_45924noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1333, "image": "images/SyntheticGeometry/syntheticgeometry_07860.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1334, "image": "images/SyntheticGeometry/syntheticgeometry_44868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1335, "image": "images/SyntheticGeometry/syntheticgeometry_28440.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1336, "image": "images/SyntheticGeometry/syntheticgeometry_17268noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1337, "image": "images/SyntheticGeometry/syntheticgeometry_08557.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1338, "image": "images/SyntheticGeometry/syntheticgeometry_23384.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1339, "image": "images/SyntheticGeometry/syntheticgeometry_33959.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1340, "image": "images/SyntheticGeometry/syntheticgeometry_25703.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1341, "image": "images/SyntheticGeometry/syntheticgeometry_24403noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1342, "image": "images/SyntheticGeometry/syntheticgeometry_02861noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1343, "image": "images/SyntheticGeometry/syntheticgeometry_06419noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1344, "image": "images/SyntheticGeometry/syntheticgeometry_12170.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1345, "image": "images/SyntheticGeometry/syntheticgeometry_45793.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1346, "image": "images/SyntheticGeometry/syntheticgeometry_14687noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1347, "image": "images/SyntheticGeometry/syntheticgeometry_37668.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1348, "image": "images/SyntheticGeometry/syntheticgeometry_47099noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1349, "image": "images/SyntheticGeometry/syntheticgeometry_40415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1350, "image": "images/SyntheticGeometry/syntheticgeometry_36341noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1351, "image": "images/SyntheticGeometry/syntheticgeometry_12432.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1352, "image": "images/SyntheticGeometry/syntheticgeometry_09210noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1353, "image": "images/SyntheticGeometry/syntheticgeometry_45426noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1354, "image": "images/SyntheticGeometry/syntheticgeometry_46077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1355, "image": "images/SyntheticGeometry/syntheticgeometry_11285.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1356, "image": "images/SyntheticGeometry/syntheticgeometry_43991.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1357, "image": "images/SyntheticGeometry/syntheticgeometry_15462noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1358, "image": "images/SyntheticGeometry/syntheticgeometry_11802.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1359, "image": "images/SyntheticGeometry/syntheticgeometry_42064noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1360, "image": "images/SyntheticGeometry/syntheticgeometry_40155.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1361, "image": "images/SyntheticGeometry/syntheticgeometry_10769.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1362, "image": "images/SyntheticGeometry/syntheticgeometry_30240.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1363, "image": "images/SyntheticGeometry/syntheticgeometry_23402noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1364, "image": "images/SyntheticGeometry/syntheticgeometry_32975.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1365, "image": "images/SyntheticGeometry/syntheticgeometry_02584.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1366, "image": "images/SyntheticGeometry/syntheticgeometry_16366.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1367, "image": "images/SyntheticGeometry/syntheticgeometry_38612.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1368, "image": "images/SyntheticGeometry/syntheticgeometry_42540noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1369, "image": "images/SyntheticGeometry/syntheticgeometry_46772noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1370, "image": "images/SyntheticGeometry/syntheticgeometry_26887.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1371, "image": "images/SyntheticGeometry/syntheticgeometry_32321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CMF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1372, "image": "images/SyntheticGeometry/syntheticgeometry_18879noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1373, "image": "images/SyntheticGeometry/syntheticgeometry_02052noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1374, "image": "images/SyntheticGeometry/syntheticgeometry_33355.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1375, "image": "images/SyntheticGeometry/syntheticgeometry_09124noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1376, "image": "images/SyntheticGeometry/syntheticgeometry_49565noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1377, "image": "images/SyntheticGeometry/syntheticgeometry_45940noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1378, "image": "images/SyntheticGeometry/syntheticgeometry_39021.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1379, "image": "images/SyntheticGeometry/syntheticgeometry_39493noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1380, "image": "images/SyntheticGeometry/syntheticgeometry_10174.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1381, "image": "images/SyntheticGeometry/syntheticgeometry_24988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1382, "image": "images/SyntheticGeometry/syntheticgeometry_16891.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1383, "image": "images/SyntheticGeometry/syntheticgeometry_43182noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1384, "image": "images/SyntheticGeometry/syntheticgeometry_48227noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1385, "image": "images/SyntheticGeometry/syntheticgeometry_45515noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1386, "image": "images/SyntheticGeometry/syntheticgeometry_05890.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1387, "image": "images/SyntheticGeometry/syntheticgeometry_43404.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1388, "image": "images/SyntheticGeometry/syntheticgeometry_46314noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle PEO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1389, "image": "images/SyntheticGeometry/syntheticgeometry_37198noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1390, "image": "images/SyntheticGeometry/syntheticgeometry_27352.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1391, "image": "images/SyntheticGeometry/syntheticgeometry_14527.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1392, "image": "images/SyntheticGeometry/syntheticgeometry_30540.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1393, "image": "images/SyntheticGeometry/syntheticgeometry_22500noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1394, "image": "images/SyntheticGeometry/syntheticgeometry_42867noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1395, "image": "images/SyntheticGeometry/syntheticgeometry_03799noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1396, "image": "images/SyntheticGeometry/syntheticgeometry_42859.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1397, "image": "images/SyntheticGeometry/syntheticgeometry_45076noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1398, "image": "images/SyntheticGeometry/syntheticgeometry_39093.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1399, "image": "images/SyntheticGeometry/syntheticgeometry_24341noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1400, "image": "images/SyntheticGeometry/syntheticgeometry_25745.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1401, "image": "images/SyntheticGeometry/syntheticgeometry_04567noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1402, "image": "images/SyntheticGeometry/syntheticgeometry_29927.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1403, "image": "images/SyntheticGeometry/syntheticgeometry_38764noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1404, "image": "images/SyntheticGeometry/syntheticgeometry_26903.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1405, "image": "images/SyntheticGeometry/syntheticgeometry_40599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1406, "image": "images/SyntheticGeometry/syntheticgeometry_12219noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1407, "image": "images/SyntheticGeometry/syntheticgeometry_36168.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1408, "image": "images/SyntheticGeometry/syntheticgeometry_27146noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1409, "image": "images/SyntheticGeometry/syntheticgeometry_22373noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1410, "image": "images/SyntheticGeometry/syntheticgeometry_03120.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1411, "image": "images/SyntheticGeometry/syntheticgeometry_39543noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1412, "image": "images/SyntheticGeometry/syntheticgeometry_29836.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1413, "image": "images/SyntheticGeometry/syntheticgeometry_32447noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1414, "image": "images/SyntheticGeometry/syntheticgeometry_38766noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1415, "image": "images/SyntheticGeometry/syntheticgeometry_04014noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1416, "image": "images/SyntheticGeometry/syntheticgeometry_33842.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1417, "image": "images/SyntheticGeometry/syntheticgeometry_41342noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1418, "image": "images/SyntheticGeometry/syntheticgeometry_49535noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1419, "image": "images/SyntheticGeometry/syntheticgeometry_03417.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1420, "image": "images/SyntheticGeometry/syntheticgeometry_45343noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1421, "image": "images/SyntheticGeometry/syntheticgeometry_06089noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1422, "image": "images/SyntheticGeometry/syntheticgeometry_10851.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1423, "image": "images/SyntheticGeometry/syntheticgeometry_27531.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1424, "image": "images/SyntheticGeometry/syntheticgeometry_04673.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1425, "image": "images/SyntheticGeometry/syntheticgeometry_13537noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1426, "image": "images/SyntheticGeometry/syntheticgeometry_39888noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1427, "image": "images/SyntheticGeometry/syntheticgeometry_32632noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1428, "image": "images/SyntheticGeometry/syntheticgeometry_03108.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1429, "image": "images/SyntheticGeometry/syntheticgeometry_37061noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1430, "image": "images/SyntheticGeometry/syntheticgeometry_12754noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1431, "image": "images/SyntheticGeometry/syntheticgeometry_46286.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1432, "image": "images/SyntheticGeometry/syntheticgeometry_02062noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1433, "image": "images/SyntheticGeometry/syntheticgeometry_38337.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1434, "image": "images/SyntheticGeometry/syntheticgeometry_24866noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1435, "image": "images/SyntheticGeometry/syntheticgeometry_10785noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1436, "image": "images/SyntheticGeometry/syntheticgeometry_45318.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1437, "image": "images/SyntheticGeometry/syntheticgeometry_14740noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1438, "image": "images/SyntheticGeometry/syntheticgeometry_18265noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1439, "image": "images/SyntheticGeometry/syntheticgeometry_07724noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1440, "image": "images/SyntheticGeometry/syntheticgeometry_06569noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1441, "image": "images/SyntheticGeometry/syntheticgeometry_48730.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1442, "image": "images/SyntheticGeometry/syntheticgeometry_08822noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1443, "image": "images/SyntheticGeometry/syntheticgeometry_26445noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1444, "image": "images/SyntheticGeometry/syntheticgeometry_37105noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1445, "image": "images/SyntheticGeometry/syntheticgeometry_46847.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1446, "image": "images/SyntheticGeometry/syntheticgeometry_30448.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1447, "image": "images/SyntheticGeometry/syntheticgeometry_47085noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1448, "image": "images/SyntheticGeometry/syntheticgeometry_11670noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1449, "image": "images/SyntheticGeometry/syntheticgeometry_20117noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1450, "image": "images/SyntheticGeometry/syntheticgeometry_46092noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1451, "image": "images/SyntheticGeometry/syntheticgeometry_28270noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1452, "image": "images/SyntheticGeometry/syntheticgeometry_27348noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1453, "image": "images/SyntheticGeometry/syntheticgeometry_45372noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1454, "image": "images/SyntheticGeometry/syntheticgeometry_37708noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1455, "image": "images/SyntheticGeometry/syntheticgeometry_22335.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1456, "image": "images/SyntheticGeometry/syntheticgeometry_33203noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1457, "image": "images/SyntheticGeometry/syntheticgeometry_29246.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1458, "image": "images/SyntheticGeometry/syntheticgeometry_40369.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1459, "image": "images/SyntheticGeometry/syntheticgeometry_26344noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1460, "image": "images/SyntheticGeometry/syntheticgeometry_35778noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1461, "image": "images/SyntheticGeometry/syntheticgeometry_06176.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1462, "image": "images/SyntheticGeometry/syntheticgeometry_11042noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1463, "image": "images/SyntheticGeometry/syntheticgeometry_24880.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1464, "image": "images/SyntheticGeometry/syntheticgeometry_11076noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1465, "image": "images/SyntheticGeometry/syntheticgeometry_18718.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1466, "image": "images/SyntheticGeometry/syntheticgeometry_41667.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1467, "image": "images/SyntheticGeometry/syntheticgeometry_05340noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1468, "image": "images/SyntheticGeometry/syntheticgeometry_30678noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1469, "image": "images/SyntheticGeometry/syntheticgeometry_33560.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1470, "image": "images/SyntheticGeometry/syntheticgeometry_19468.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1471, "image": "images/SyntheticGeometry/syntheticgeometry_09028.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1472, "image": "images/SyntheticGeometry/syntheticgeometry_41630noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1473, "image": "images/SyntheticGeometry/syntheticgeometry_25150noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1474, "image": "images/SyntheticGeometry/syntheticgeometry_07858noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1475, "image": "images/SyntheticGeometry/syntheticgeometry_26043noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1476, "image": "images/SyntheticGeometry/syntheticgeometry_16194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1477, "image": "images/SyntheticGeometry/syntheticgeometry_06786noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1478, "image": "images/SyntheticGeometry/syntheticgeometry_46649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1479, "image": "images/SyntheticGeometry/syntheticgeometry_32276noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HND in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1480, "image": "images/SyntheticGeometry/syntheticgeometry_08184.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1481, "image": "images/SyntheticGeometry/syntheticgeometry_49704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1482, "image": "images/SyntheticGeometry/syntheticgeometry_27954noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1483, "image": "images/SyntheticGeometry/syntheticgeometry_16350noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1484, "image": "images/SyntheticGeometry/syntheticgeometry_30228noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1485, "image": "images/SyntheticGeometry/syntheticgeometry_35341noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1486, "image": "images/SyntheticGeometry/syntheticgeometry_24290noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1487, "image": "images/SyntheticGeometry/syntheticgeometry_11546.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1488, "image": "images/SyntheticGeometry/syntheticgeometry_20810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1489, "image": "images/SyntheticGeometry/syntheticgeometry_14827noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1490, "image": "images/SyntheticGeometry/syntheticgeometry_09237noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1491, "image": "images/SyntheticGeometry/syntheticgeometry_39435noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1492, "image": "images/SyntheticGeometry/syntheticgeometry_43577.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1493, "image": "images/SyntheticGeometry/syntheticgeometry_16071noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1494, "image": "images/SyntheticGeometry/syntheticgeometry_29094noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EGL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1495, "image": "images/SyntheticGeometry/syntheticgeometry_02486.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1496, "image": "images/SyntheticGeometry/syntheticgeometry_35944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1497, "image": "images/SyntheticGeometry/syntheticgeometry_30711noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1498, "image": "images/SyntheticGeometry/syntheticgeometry_06038noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1499, "image": "images/SyntheticGeometry/syntheticgeometry_02202.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1500, "image": "images/SyntheticGeometry/syntheticgeometry_41394.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1501, "image": "images/SyntheticGeometry/syntheticgeometry_28454noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1502, "image": "images/SyntheticGeometry/syntheticgeometry_08840noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1503, "image": "images/SyntheticGeometry/syntheticgeometry_27767.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1504, "image": "images/SyntheticGeometry/syntheticgeometry_02050noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1505, "image": "images/SyntheticGeometry/syntheticgeometry_04398noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1506, "image": "images/SyntheticGeometry/syntheticgeometry_04854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1507, "image": "images/SyntheticGeometry/syntheticgeometry_46516.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1508, "image": "images/SyntheticGeometry/syntheticgeometry_39379noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1509, "image": "images/SyntheticGeometry/syntheticgeometry_49670noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1510, "image": "images/SyntheticGeometry/syntheticgeometry_29313noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1511, "image": "images/SyntheticGeometry/syntheticgeometry_08871noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1512, "image": "images/SyntheticGeometry/syntheticgeometry_29315noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1513, "image": "images/SyntheticGeometry/syntheticgeometry_28119noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1514, "image": "images/SyntheticGeometry/syntheticgeometry_13965.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1515, "image": "images/SyntheticGeometry/syntheticgeometry_13841noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1516, "image": "images/SyntheticGeometry/syntheticgeometry_15290noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1517, "image": "images/SyntheticGeometry/syntheticgeometry_11964.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1518, "image": "images/SyntheticGeometry/syntheticgeometry_40422noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1519, "image": "images/SyntheticGeometry/syntheticgeometry_35965noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BDG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1520, "image": "images/SyntheticGeometry/syntheticgeometry_04240noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1521, "image": "images/SyntheticGeometry/syntheticgeometry_42948.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1522, "image": "images/SyntheticGeometry/syntheticgeometry_15697noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1523, "image": "images/SyntheticGeometry/syntheticgeometry_16300.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1524, "image": "images/SyntheticGeometry/syntheticgeometry_45194noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1525, "image": "images/SyntheticGeometry/syntheticgeometry_49309.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1526, "image": "images/SyntheticGeometry/syntheticgeometry_03707.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1527, "image": "images/SyntheticGeometry/syntheticgeometry_34079.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1528, "image": "images/SyntheticGeometry/syntheticgeometry_36956.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ILM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1529, "image": "images/SyntheticGeometry/syntheticgeometry_43910.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1530, "image": "images/SyntheticGeometry/syntheticgeometry_10916noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1531, "image": "images/SyntheticGeometry/syntheticgeometry_13330noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1532, "image": "images/SyntheticGeometry/syntheticgeometry_14802.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1533, "image": "images/SyntheticGeometry/syntheticgeometry_47975noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1534, "image": "images/SyntheticGeometry/syntheticgeometry_06831noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1535, "image": "images/SyntheticGeometry/syntheticgeometry_20104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1536, "image": "images/SyntheticGeometry/syntheticgeometry_38759noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1537, "image": "images/SyntheticGeometry/syntheticgeometry_38042noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1538, "image": "images/SyntheticGeometry/syntheticgeometry_45900.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1539, "image": "images/SyntheticGeometry/syntheticgeometry_02919noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1540, "image": "images/SyntheticGeometry/syntheticgeometry_10658noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1541, "image": "images/SyntheticGeometry/syntheticgeometry_11865.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1542, "image": "images/SyntheticGeometry/syntheticgeometry_22924.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1543, "image": "images/SyntheticGeometry/syntheticgeometry_34268noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1544, "image": "images/SyntheticGeometry/syntheticgeometry_05091.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1545, "image": "images/SyntheticGeometry/syntheticgeometry_24266noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1546, "image": "images/SyntheticGeometry/syntheticgeometry_06901noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1547, "image": "images/SyntheticGeometry/syntheticgeometry_43615.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1548, "image": "images/SyntheticGeometry/syntheticgeometry_15176.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1549, "image": "images/SyntheticGeometry/syntheticgeometry_12746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1550, "image": "images/SyntheticGeometry/syntheticgeometry_13179noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1551, "image": "images/SyntheticGeometry/syntheticgeometry_15563noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1552, "image": "images/SyntheticGeometry/syntheticgeometry_23562noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1553, "image": "images/SyntheticGeometry/syntheticgeometry_17474.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1554, "image": "images/SyntheticGeometry/syntheticgeometry_29053.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1555, "image": "images/SyntheticGeometry/syntheticgeometry_21820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1556, "image": "images/SyntheticGeometry/syntheticgeometry_20883.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1557, "image": "images/SyntheticGeometry/syntheticgeometry_35638.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1558, "image": "images/SyntheticGeometry/syntheticgeometry_45878noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1559, "image": "images/SyntheticGeometry/syntheticgeometry_12874noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1560, "image": "images/SyntheticGeometry/syntheticgeometry_28596noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1561, "image": "images/SyntheticGeometry/syntheticgeometry_23792noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1562, "image": "images/SyntheticGeometry/syntheticgeometry_33445noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1563, "image": "images/SyntheticGeometry/syntheticgeometry_38831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1564, "image": "images/SyntheticGeometry/syntheticgeometry_19148noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1565, "image": "images/SyntheticGeometry/syntheticgeometry_27408noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1566, "image": "images/SyntheticGeometry/syntheticgeometry_03526noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1567, "image": "images/SyntheticGeometry/syntheticgeometry_05810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1568, "image": "images/SyntheticGeometry/syntheticgeometry_22135.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1569, "image": "images/SyntheticGeometry/syntheticgeometry_20215noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1570, "image": "images/SyntheticGeometry/syntheticgeometry_46379noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1571, "image": "images/SyntheticGeometry/syntheticgeometry_35864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1572, "image": "images/SyntheticGeometry/syntheticgeometry_39638noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1573, "image": "images/SyntheticGeometry/syntheticgeometry_09868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1574, "image": "images/SyntheticGeometry/syntheticgeometry_29353.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1575, "image": "images/SyntheticGeometry/syntheticgeometry_30699.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1576, "image": "images/SyntheticGeometry/syntheticgeometry_03016.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1577, "image": "images/SyntheticGeometry/syntheticgeometry_34341noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1578, "image": "images/SyntheticGeometry/syntheticgeometry_27491.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1579, "image": "images/SyntheticGeometry/syntheticgeometry_32964.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1580, "image": "images/SyntheticGeometry/syntheticgeometry_46659noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1581, "image": "images/SyntheticGeometry/syntheticgeometry_21663.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1582, "image": "images/SyntheticGeometry/syntheticgeometry_49486noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1583, "image": "images/SyntheticGeometry/syntheticgeometry_18654.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1584, "image": "images/SyntheticGeometry/syntheticgeometry_25337noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1585, "image": "images/SyntheticGeometry/syntheticgeometry_13373.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1586, "image": "images/SyntheticGeometry/syntheticgeometry_40658.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1587, "image": "images/SyntheticGeometry/syntheticgeometry_30461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1588, "image": "images/SyntheticGeometry/syntheticgeometry_41911.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1589, "image": "images/SyntheticGeometry/syntheticgeometry_47730.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1590, "image": "images/SyntheticGeometry/syntheticgeometry_03760noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1591, "image": "images/SyntheticGeometry/syntheticgeometry_11133.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1592, "image": "images/SyntheticGeometry/syntheticgeometry_24238noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1593, "image": "images/SyntheticGeometry/syntheticgeometry_18272.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1594, "image": "images/SyntheticGeometry/syntheticgeometry_41771noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1595, "image": "images/SyntheticGeometry/syntheticgeometry_09358noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1596, "image": "images/SyntheticGeometry/syntheticgeometry_14980noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1597, "image": "images/SyntheticGeometry/syntheticgeometry_15696.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CHL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1598, "image": "images/SyntheticGeometry/syntheticgeometry_16473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1599, "image": "images/SyntheticGeometry/syntheticgeometry_18072noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1600, "image": "images/SyntheticGeometry/syntheticgeometry_08365.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1601, "image": "images/SyntheticGeometry/syntheticgeometry_22048.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1602, "image": "images/SyntheticGeometry/syntheticgeometry_25072noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1603, "image": "images/SyntheticGeometry/syntheticgeometry_40545.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1604, "image": "images/SyntheticGeometry/syntheticgeometry_27175noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1605, "image": "images/SyntheticGeometry/syntheticgeometry_49573.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1606, "image": "images/SyntheticGeometry/syntheticgeometry_25036.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1607, "image": "images/SyntheticGeometry/syntheticgeometry_43312.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1608, "image": "images/SyntheticGeometry/syntheticgeometry_13928noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1609, "image": "images/SyntheticGeometry/syntheticgeometry_26746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1610, "image": "images/SyntheticGeometry/syntheticgeometry_38768noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1611, "image": "images/SyntheticGeometry/syntheticgeometry_37948noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1612, "image": "images/SyntheticGeometry/syntheticgeometry_47668noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1613, "image": "images/SyntheticGeometry/syntheticgeometry_03533noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1614, "image": "images/SyntheticGeometry/syntheticgeometry_29212.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1615, "image": "images/SyntheticGeometry/syntheticgeometry_48742noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1616, "image": "images/SyntheticGeometry/syntheticgeometry_40764.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1617, "image": "images/SyntheticGeometry/syntheticgeometry_35957noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1618, "image": "images/SyntheticGeometry/syntheticgeometry_25022.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1619, "image": "images/SyntheticGeometry/syntheticgeometry_35321noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1620, "image": "images/SyntheticGeometry/syntheticgeometry_38286noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1621, "image": "images/SyntheticGeometry/syntheticgeometry_12531noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1622, "image": "images/SyntheticGeometry/syntheticgeometry_12998noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle PQO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1623, "image": "images/SyntheticGeometry/syntheticgeometry_07686noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1624, "image": "images/SyntheticGeometry/syntheticgeometry_47226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1625, "image": "images/SyntheticGeometry/syntheticgeometry_32442noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1626, "image": "images/SyntheticGeometry/syntheticgeometry_44912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1627, "image": "images/SyntheticGeometry/syntheticgeometry_10028noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NOF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1628, "image": "images/SyntheticGeometry/syntheticgeometry_46049.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1629, "image": "images/SyntheticGeometry/syntheticgeometry_36474noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1630, "image": "images/SyntheticGeometry/syntheticgeometry_43360noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1631, "image": "images/SyntheticGeometry/syntheticgeometry_41357.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1632, "image": "images/SyntheticGeometry/syntheticgeometry_14050.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1633, "image": "images/SyntheticGeometry/syntheticgeometry_45293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1634, "image": "images/SyntheticGeometry/syntheticgeometry_13794noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1635, "image": "images/SyntheticGeometry/syntheticgeometry_17770.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1636, "image": "images/SyntheticGeometry/syntheticgeometry_31655noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1637, "image": "images/SyntheticGeometry/syntheticgeometry_06192.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1638, "image": "images/SyntheticGeometry/syntheticgeometry_42882.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1639, "image": "images/SyntheticGeometry/syntheticgeometry_14936noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OCL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1640, "image": "images/SyntheticGeometry/syntheticgeometry_44392noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1641, "image": "images/SyntheticGeometry/syntheticgeometry_16884noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1642, "image": "images/SyntheticGeometry/syntheticgeometry_31555noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ELB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1643, "image": "images/SyntheticGeometry/syntheticgeometry_38905.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1644, "image": "images/SyntheticGeometry/syntheticgeometry_17856.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1645, "image": "images/SyntheticGeometry/syntheticgeometry_15271noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1646, "image": "images/SyntheticGeometry/syntheticgeometry_11672noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1647, "image": "images/SyntheticGeometry/syntheticgeometry_07819noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FMD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1648, "image": "images/SyntheticGeometry/syntheticgeometry_12513.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1649, "image": "images/SyntheticGeometry/syntheticgeometry_11140noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1650, "image": "images/SyntheticGeometry/syntheticgeometry_44042noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1651, "image": "images/SyntheticGeometry/syntheticgeometry_30539.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1652, "image": "images/SyntheticGeometry/syntheticgeometry_34321.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1653, "image": "images/SyntheticGeometry/syntheticgeometry_46112.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1654, "image": "images/SyntheticGeometry/syntheticgeometry_42819noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1655, "image": "images/SyntheticGeometry/syntheticgeometry_09153.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1656, "image": "images/SyntheticGeometry/syntheticgeometry_31706noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1657, "image": "images/SyntheticGeometry/syntheticgeometry_34963noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1658, "image": "images/SyntheticGeometry/syntheticgeometry_31352noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1659, "image": "images/SyntheticGeometry/syntheticgeometry_41791noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1660, "image": "images/SyntheticGeometry/syntheticgeometry_12900noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1661, "image": "images/SyntheticGeometry/syntheticgeometry_20410noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1662, "image": "images/SyntheticGeometry/syntheticgeometry_02048noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1663, "image": "images/SyntheticGeometry/syntheticgeometry_04980.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1664, "image": "images/SyntheticGeometry/syntheticgeometry_44128noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1665, "image": "images/SyntheticGeometry/syntheticgeometry_48144noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1666, "image": "images/SyntheticGeometry/syntheticgeometry_13487noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1667, "image": "images/SyntheticGeometry/syntheticgeometry_45462.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1668, "image": "images/SyntheticGeometry/syntheticgeometry_22491noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1669, "image": "images/SyntheticGeometry/syntheticgeometry_38446noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1670, "image": "images/SyntheticGeometry/syntheticgeometry_14588.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1671, "image": "images/SyntheticGeometry/syntheticgeometry_37138.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1672, "image": "images/SyntheticGeometry/syntheticgeometry_11517noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1673, "image": "images/SyntheticGeometry/syntheticgeometry_12363noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1674, "image": "images/SyntheticGeometry/syntheticgeometry_05820.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1675, "image": "images/SyntheticGeometry/syntheticgeometry_44329noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1676, "image": "images/SyntheticGeometry/syntheticgeometry_29993noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1677, "image": "images/SyntheticGeometry/syntheticgeometry_41367noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1678, "image": "images/SyntheticGeometry/syntheticgeometry_42587.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1679, "image": "images/SyntheticGeometry/syntheticgeometry_05859noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1680, "image": "images/SyntheticGeometry/syntheticgeometry_03117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1681, "image": "images/SyntheticGeometry/syntheticgeometry_14002noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1682, "image": "images/SyntheticGeometry/syntheticgeometry_11087noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1683, "image": "images/SyntheticGeometry/syntheticgeometry_19488noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1684, "image": "images/SyntheticGeometry/syntheticgeometry_22502noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1685, "image": "images/SyntheticGeometry/syntheticgeometry_11224noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1686, "image": "images/SyntheticGeometry/syntheticgeometry_33535noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1687, "image": "images/SyntheticGeometry/syntheticgeometry_20855noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1688, "image": "images/SyntheticGeometry/syntheticgeometry_24463noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1689, "image": "images/SyntheticGeometry/syntheticgeometry_22696.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1690, "image": "images/SyntheticGeometry/syntheticgeometry_32110.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1691, "image": "images/SyntheticGeometry/syntheticgeometry_09748noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1692, "image": "images/SyntheticGeometry/syntheticgeometry_23248noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1693, "image": "images/SyntheticGeometry/syntheticgeometry_49990.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1694, "image": "images/SyntheticGeometry/syntheticgeometry_38212noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1695, "image": "images/SyntheticGeometry/syntheticgeometry_21816.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1696, "image": "images/SyntheticGeometry/syntheticgeometry_19296.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1697, "image": "images/SyntheticGeometry/syntheticgeometry_33176noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1698, "image": "images/SyntheticGeometry/syntheticgeometry_26716.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1699, "image": "images/SyntheticGeometry/syntheticgeometry_26305.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1700, "image": "images/SyntheticGeometry/syntheticgeometry_16342.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1701, "image": "images/SyntheticGeometry/syntheticgeometry_42824noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1702, "image": "images/SyntheticGeometry/syntheticgeometry_08354noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1703, "image": "images/SyntheticGeometry/syntheticgeometry_17400.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1704, "image": "images/SyntheticGeometry/syntheticgeometry_06952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1705, "image": "images/SyntheticGeometry/syntheticgeometry_17533noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1706, "image": "images/SyntheticGeometry/syntheticgeometry_15404noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1707, "image": "images/SyntheticGeometry/syntheticgeometry_23270noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1708, "image": "images/SyntheticGeometry/syntheticgeometry_44138noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1709, "image": "images/SyntheticGeometry/syntheticgeometry_37516noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1710, "image": "images/SyntheticGeometry/syntheticgeometry_10284.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1711, "image": "images/SyntheticGeometry/syntheticgeometry_02175.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1712, "image": "images/SyntheticGeometry/syntheticgeometry_24284noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1713, "image": "images/SyntheticGeometry/syntheticgeometry_20452noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1714, "image": "images/SyntheticGeometry/syntheticgeometry_09116.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1715, "image": "images/SyntheticGeometry/syntheticgeometry_39774.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1716, "image": "images/SyntheticGeometry/syntheticgeometry_20378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1717, "image": "images/SyntheticGeometry/syntheticgeometry_10008noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1718, "image": "images/SyntheticGeometry/syntheticgeometry_11371.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1719, "image": "images/SyntheticGeometry/syntheticgeometry_38177.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1720, "image": "images/SyntheticGeometry/syntheticgeometry_48931noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1721, "image": "images/SyntheticGeometry/syntheticgeometry_22689noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1722, "image": "images/SyntheticGeometry/syntheticgeometry_14328noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1723, "image": "images/SyntheticGeometry/syntheticgeometry_10257.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1724, "image": "images/SyntheticGeometry/syntheticgeometry_07867.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1725, "image": "images/SyntheticGeometry/syntheticgeometry_21758noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1726, "image": "images/SyntheticGeometry/syntheticgeometry_12798noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1727, "image": "images/SyntheticGeometry/syntheticgeometry_16729noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1728, "image": "images/SyntheticGeometry/syntheticgeometry_24570noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1729, "image": "images/SyntheticGeometry/syntheticgeometry_12322noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1730, "image": "images/SyntheticGeometry/syntheticgeometry_07186noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1731, "image": "images/SyntheticGeometry/syntheticgeometry_32497noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1732, "image": "images/SyntheticGeometry/syntheticgeometry_43148noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1733, "image": "images/SyntheticGeometry/syntheticgeometry_23567noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1734, "image": "images/SyntheticGeometry/syntheticgeometry_47948.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1735, "image": "images/SyntheticGeometry/syntheticgeometry_30417noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1736, "image": "images/SyntheticGeometry/syntheticgeometry_18689.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1737, "image": "images/SyntheticGeometry/syntheticgeometry_43565.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1738, "image": "images/SyntheticGeometry/syntheticgeometry_15375noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1739, "image": "images/SyntheticGeometry/syntheticgeometry_48957noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1740, "image": "images/SyntheticGeometry/syntheticgeometry_21642.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1741, "image": "images/SyntheticGeometry/syntheticgeometry_48816noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1742, "image": "images/SyntheticGeometry/syntheticgeometry_20849noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1743, "image": "images/SyntheticGeometry/syntheticgeometry_09633noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GMA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1744, "image": "images/SyntheticGeometry/syntheticgeometry_35040.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1745, "image": "images/SyntheticGeometry/syntheticgeometry_41377.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1746, "image": "images/SyntheticGeometry/syntheticgeometry_37661noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1747, "image": "images/SyntheticGeometry/syntheticgeometry_32880.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1748, "image": "images/SyntheticGeometry/syntheticgeometry_26402.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1749, "image": "images/SyntheticGeometry/syntheticgeometry_24725noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1750, "image": "images/SyntheticGeometry/syntheticgeometry_44190noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1751, "image": "images/SyntheticGeometry/syntheticgeometry_06848noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1752, "image": "images/SyntheticGeometry/syntheticgeometry_29475noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1753, "image": "images/SyntheticGeometry/syntheticgeometry_30013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1754, "image": "images/SyntheticGeometry/syntheticgeometry_47113noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1755, "image": "images/SyntheticGeometry/syntheticgeometry_18432.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1756, "image": "images/SyntheticGeometry/syntheticgeometry_14983noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1757, "image": "images/SyntheticGeometry/syntheticgeometry_02403noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1758, "image": "images/SyntheticGeometry/syntheticgeometry_42480noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1759, "image": "images/SyntheticGeometry/syntheticgeometry_37351noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1760, "image": "images/SyntheticGeometry/syntheticgeometry_31381.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1761, "image": "images/SyntheticGeometry/syntheticgeometry_08168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1762, "image": "images/SyntheticGeometry/syntheticgeometry_11904noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1763, "image": "images/SyntheticGeometry/syntheticgeometry_22292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1764, "image": "images/SyntheticGeometry/syntheticgeometry_15033noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1765, "image": "images/SyntheticGeometry/syntheticgeometry_29180noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1766, "image": "images/SyntheticGeometry/syntheticgeometry_23548noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1767, "image": "images/SyntheticGeometry/syntheticgeometry_42275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1768, "image": "images/SyntheticGeometry/syntheticgeometry_42591.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1769, "image": "images/SyntheticGeometry/syntheticgeometry_47439noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1770, "image": "images/SyntheticGeometry/syntheticgeometry_35631.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1771, "image": "images/SyntheticGeometry/syntheticgeometry_48884noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1772, "image": "images/SyntheticGeometry/syntheticgeometry_11938noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1773, "image": "images/SyntheticGeometry/syntheticgeometry_12308.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1774, "image": "images/SyntheticGeometry/syntheticgeometry_47831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1775, "image": "images/SyntheticGeometry/syntheticgeometry_15334noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1776, "image": "images/SyntheticGeometry/syntheticgeometry_07854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1777, "image": "images/SyntheticGeometry/syntheticgeometry_32944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1778, "image": "images/SyntheticGeometry/syntheticgeometry_13309noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1779, "image": "images/SyntheticGeometry/syntheticgeometry_04304.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1780, "image": "images/SyntheticGeometry/syntheticgeometry_42621noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1781, "image": "images/SyntheticGeometry/syntheticgeometry_43681noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1782, "image": "images/SyntheticGeometry/syntheticgeometry_43995noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1783, "image": "images/SyntheticGeometry/syntheticgeometry_31183noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1784, "image": "images/SyntheticGeometry/syntheticgeometry_22179noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1785, "image": "images/SyntheticGeometry/syntheticgeometry_37318noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1786, "image": "images/SyntheticGeometry/syntheticgeometry_19594noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1787, "image": "images/SyntheticGeometry/syntheticgeometry_08315noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1788, "image": "images/SyntheticGeometry/syntheticgeometry_32019.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1789, "image": "images/SyntheticGeometry/syntheticgeometry_29703noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1790, "image": "images/SyntheticGeometry/syntheticgeometry_08603.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1791, "image": "images/SyntheticGeometry/syntheticgeometry_10303.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1792, "image": "images/SyntheticGeometry/syntheticgeometry_03546noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1793, "image": "images/SyntheticGeometry/syntheticgeometry_18701.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1794, "image": "images/SyntheticGeometry/syntheticgeometry_11564.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1795, "image": "images/SyntheticGeometry/syntheticgeometry_07926noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1796, "image": "images/SyntheticGeometry/syntheticgeometry_25239noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1797, "image": "images/SyntheticGeometry/syntheticgeometry_27873noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1798, "image": "images/SyntheticGeometry/syntheticgeometry_31567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1799, "image": "images/SyntheticGeometry/syntheticgeometry_15558noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1800, "image": "images/SyntheticGeometry/syntheticgeometry_18964.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1801, "image": "images/SyntheticGeometry/syntheticgeometry_31827.png", "conversations": [{"from": "human", "value": "\nThere is a triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1802, "image": "images/SyntheticGeometry/syntheticgeometry_49615noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1803, "image": "images/SyntheticGeometry/syntheticgeometry_05567noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1804, "image": "images/SyntheticGeometry/syntheticgeometry_18740.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1805, "image": "images/SyntheticGeometry/syntheticgeometry_44746.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1806, "image": "images/SyntheticGeometry/syntheticgeometry_26300noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1807, "image": "images/SyntheticGeometry/syntheticgeometry_22128noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1808, "image": "images/SyntheticGeometry/syntheticgeometry_18592.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1809, "image": "images/SyntheticGeometry/syntheticgeometry_10932.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1810, "image": "images/SyntheticGeometry/syntheticgeometry_04564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1811, "image": "images/SyntheticGeometry/syntheticgeometry_43912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NLM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1812, "image": "images/SyntheticGeometry/syntheticgeometry_43325noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1813, "image": "images/SyntheticGeometry/syntheticgeometry_16404noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1814, "image": "images/SyntheticGeometry/syntheticgeometry_37177noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1815, "image": "images/SyntheticGeometry/syntheticgeometry_34062noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1816, "image": "images/SyntheticGeometry/syntheticgeometry_43647.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1817, "image": "images/SyntheticGeometry/syntheticgeometry_48022.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1818, "image": "images/SyntheticGeometry/syntheticgeometry_25657noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1819, "image": "images/SyntheticGeometry/syntheticgeometry_03308.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1820, "image": "images/SyntheticGeometry/syntheticgeometry_13975.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1821, "image": "images/SyntheticGeometry/syntheticgeometry_43416noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1822, "image": "images/SyntheticGeometry/syntheticgeometry_48234.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1823, "image": "images/SyntheticGeometry/syntheticgeometry_44293noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1824, "image": "images/SyntheticGeometry/syntheticgeometry_07890.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1825, "image": "images/SyntheticGeometry/syntheticgeometry_49451noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1826, "image": "images/SyntheticGeometry/syntheticgeometry_06657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1827, "image": "images/SyntheticGeometry/syntheticgeometry_49366noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1828, "image": "images/SyntheticGeometry/syntheticgeometry_48721noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1829, "image": "images/SyntheticGeometry/syntheticgeometry_10568.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1830, "image": "images/SyntheticGeometry/syntheticgeometry_39848.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1831, "image": "images/SyntheticGeometry/syntheticgeometry_35829.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1832, "image": "images/SyntheticGeometry/syntheticgeometry_06048noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1833, "image": "images/SyntheticGeometry/syntheticgeometry_04481.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1834, "image": "images/SyntheticGeometry/syntheticgeometry_08792noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1835, "image": "images/SyntheticGeometry/syntheticgeometry_24503.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1836, "image": "images/SyntheticGeometry/syntheticgeometry_26227.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1837, "image": "images/SyntheticGeometry/syntheticgeometry_37282.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1838, "image": "images/SyntheticGeometry/syntheticgeometry_29930noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1839, "image": "images/SyntheticGeometry/syntheticgeometry_21912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1840, "image": "images/SyntheticGeometry/syntheticgeometry_39418noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1841, "image": "images/SyntheticGeometry/syntheticgeometry_18552noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1842, "image": "images/SyntheticGeometry/syntheticgeometry_07276.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1843, "image": "images/SyntheticGeometry/syntheticgeometry_17200.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1844, "image": "images/SyntheticGeometry/syntheticgeometry_35429.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1845, "image": "images/SyntheticGeometry/syntheticgeometry_20141noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1846, "image": "images/SyntheticGeometry/syntheticgeometry_26360.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1847, "image": "images/SyntheticGeometry/syntheticgeometry_48112noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1848, "image": "images/SyntheticGeometry/syntheticgeometry_45260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1849, "image": "images/SyntheticGeometry/syntheticgeometry_44624noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1850, "image": "images/SyntheticGeometry/syntheticgeometry_39697noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1851, "image": "images/SyntheticGeometry/syntheticgeometry_27480.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1852, "image": "images/SyntheticGeometry/syntheticgeometry_41689noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1853, "image": "images/SyntheticGeometry/syntheticgeometry_05866noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GKD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1854, "image": "images/SyntheticGeometry/syntheticgeometry_19421noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1855, "image": "images/SyntheticGeometry/syntheticgeometry_24879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1856, "image": "images/SyntheticGeometry/syntheticgeometry_40881.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1857, "image": "images/SyntheticGeometry/syntheticgeometry_44587.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1858, "image": "images/SyntheticGeometry/syntheticgeometry_13956noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1859, "image": "images/SyntheticGeometry/syntheticgeometry_04120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1860, "image": "images/SyntheticGeometry/syntheticgeometry_29851.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1861, "image": "images/SyntheticGeometry/syntheticgeometry_36549noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AHN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1862, "image": "images/SyntheticGeometry/syntheticgeometry_10736noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1863, "image": "images/SyntheticGeometry/syntheticgeometry_39116.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1864, "image": "images/SyntheticGeometry/syntheticgeometry_47624noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1865, "image": "images/SyntheticGeometry/syntheticgeometry_05100noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1866, "image": "images/SyntheticGeometry/syntheticgeometry_28182noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1867, "image": "images/SyntheticGeometry/syntheticgeometry_46400.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1868, "image": "images/SyntheticGeometry/syntheticgeometry_29521noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1869, "image": "images/SyntheticGeometry/syntheticgeometry_34766noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1870, "image": "images/SyntheticGeometry/syntheticgeometry_18361.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1871, "image": "images/SyntheticGeometry/syntheticgeometry_36457noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1872, "image": "images/SyntheticGeometry/syntheticgeometry_30838noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1873, "image": "images/SyntheticGeometry/syntheticgeometry_26038.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1874, "image": "images/SyntheticGeometry/syntheticgeometry_25105.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1875, "image": "images/SyntheticGeometry/syntheticgeometry_10382noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1876, "image": "images/SyntheticGeometry/syntheticgeometry_21717noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1877, "image": "images/SyntheticGeometry/syntheticgeometry_30312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1878, "image": "images/SyntheticGeometry/syntheticgeometry_02451.png", "conversations": [{"from": "human", "value": "\nThere is a triangle MBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1879, "image": "images/SyntheticGeometry/syntheticgeometry_38256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1880, "image": "images/SyntheticGeometry/syntheticgeometry_09467noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1881, "image": "images/SyntheticGeometry/syntheticgeometry_12157noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1882, "image": "images/SyntheticGeometry/syntheticgeometry_19169noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1883, "image": "images/SyntheticGeometry/syntheticgeometry_27581.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1884, "image": "images/SyntheticGeometry/syntheticgeometry_42372noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1885, "image": "images/SyntheticGeometry/syntheticgeometry_18399.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1886, "image": "images/SyntheticGeometry/syntheticgeometry_03324.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1887, "image": "images/SyntheticGeometry/syntheticgeometry_47354.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1888, "image": "images/SyntheticGeometry/syntheticgeometry_31202.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1889, "image": "images/SyntheticGeometry/syntheticgeometry_02485.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1890, "image": "images/SyntheticGeometry/syntheticgeometry_30986noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1891, "image": "images/SyntheticGeometry/syntheticgeometry_06570noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1892, "image": "images/SyntheticGeometry/syntheticgeometry_09238noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1893, "image": "images/SyntheticGeometry/syntheticgeometry_10475noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1894, "image": "images/SyntheticGeometry/syntheticgeometry_21889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1895, "image": "images/SyntheticGeometry/syntheticgeometry_18841noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1896, "image": "images/SyntheticGeometry/syntheticgeometry_16778noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1897, "image": "images/SyntheticGeometry/syntheticgeometry_48193noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1898, "image": "images/SyntheticGeometry/syntheticgeometry_28490noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1899, "image": "images/SyntheticGeometry/syntheticgeometry_43532noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1900, "image": "images/SyntheticGeometry/syntheticgeometry_23523.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1901, "image": "images/SyntheticGeometry/syntheticgeometry_21175.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1902, "image": "images/SyntheticGeometry/syntheticgeometry_21206noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1903, "image": "images/SyntheticGeometry/syntheticgeometry_18468.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1904, "image": "images/SyntheticGeometry/syntheticgeometry_02907.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1905, "image": "images/SyntheticGeometry/syntheticgeometry_07929.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1906, "image": "images/SyntheticGeometry/syntheticgeometry_48054.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1907, "image": "images/SyntheticGeometry/syntheticgeometry_33275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1908, "image": "images/SyntheticGeometry/syntheticgeometry_03899.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1909, "image": "images/SyntheticGeometry/syntheticgeometry_08341.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1910, "image": "images/SyntheticGeometry/syntheticgeometry_09533noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1911, "image": "images/SyntheticGeometry/syntheticgeometry_46361.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1912, "image": "images/SyntheticGeometry/syntheticgeometry_49141.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1913, "image": "images/SyntheticGeometry/syntheticgeometry_31649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1914, "image": "images/SyntheticGeometry/syntheticgeometry_43651noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1915, "image": "images/SyntheticGeometry/syntheticgeometry_03571noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1916, "image": "images/SyntheticGeometry/syntheticgeometry_19956noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1917, "image": "images/SyntheticGeometry/syntheticgeometry_28234noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1918, "image": "images/SyntheticGeometry/syntheticgeometry_45481noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1919, "image": "images/SyntheticGeometry/syntheticgeometry_35267noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1920, "image": "images/SyntheticGeometry/syntheticgeometry_29068noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1921, "image": "images/SyntheticGeometry/syntheticgeometry_49711noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1922, "image": "images/SyntheticGeometry/syntheticgeometry_03418noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1923, "image": "images/SyntheticGeometry/syntheticgeometry_43994noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1924, "image": "images/SyntheticGeometry/syntheticgeometry_32206.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1925, "image": "images/SyntheticGeometry/syntheticgeometry_45929.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1926, "image": "images/SyntheticGeometry/syntheticgeometry_42585noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1927, "image": "images/SyntheticGeometry/syntheticgeometry_48042noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1928, "image": "images/SyntheticGeometry/syntheticgeometry_25282.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1929, "image": "images/SyntheticGeometry/syntheticgeometry_41010noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1930, "image": "images/SyntheticGeometry/syntheticgeometry_02035noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1931, "image": "images/SyntheticGeometry/syntheticgeometry_27278noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1932, "image": "images/SyntheticGeometry/syntheticgeometry_15682noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1933, "image": "images/SyntheticGeometry/syntheticgeometry_22180noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1934, "image": "images/SyntheticGeometry/syntheticgeometry_20635noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1935, "image": "images/SyntheticGeometry/syntheticgeometry_18286.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1936, "image": "images/SyntheticGeometry/syntheticgeometry_07045noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1937, "image": "images/SyntheticGeometry/syntheticgeometry_25850noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1938, "image": "images/SyntheticGeometry/syntheticgeometry_12801.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1939, "image": "images/SyntheticGeometry/syntheticgeometry_40805noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1940, "image": "images/SyntheticGeometry/syntheticgeometry_43295.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1941, "image": "images/SyntheticGeometry/syntheticgeometry_17660noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1942, "image": "images/SyntheticGeometry/syntheticgeometry_02614noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1943, "image": "images/SyntheticGeometry/syntheticgeometry_30599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1944, "image": "images/SyntheticGeometry/syntheticgeometry_43348noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1945, "image": "images/SyntheticGeometry/syntheticgeometry_16021noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1946, "image": "images/SyntheticGeometry/syntheticgeometry_39966noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1947, "image": "images/SyntheticGeometry/syntheticgeometry_20601.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1948, "image": "images/SyntheticGeometry/syntheticgeometry_26596noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1949, "image": "images/SyntheticGeometry/syntheticgeometry_45893noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1950, "image": "images/SyntheticGeometry/syntheticgeometry_02691.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1951, "image": "images/SyntheticGeometry/syntheticgeometry_06576.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1952, "image": "images/SyntheticGeometry/syntheticgeometry_32174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1953, "image": "images/SyntheticGeometry/syntheticgeometry_41620.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1954, "image": "images/SyntheticGeometry/syntheticgeometry_48436noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1955, "image": "images/SyntheticGeometry/syntheticgeometry_49968.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1956, "image": "images/SyntheticGeometry/syntheticgeometry_06780noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1957, "image": "images/SyntheticGeometry/syntheticgeometry_11357noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1958, "image": "images/SyntheticGeometry/syntheticgeometry_12778noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ENC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1959, "image": "images/SyntheticGeometry/syntheticgeometry_30972.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1960, "image": "images/SyntheticGeometry/syntheticgeometry_30854noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1961, "image": "images/SyntheticGeometry/syntheticgeometry_49301.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1962, "image": "images/SyntheticGeometry/syntheticgeometry_28783noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1963, "image": "images/SyntheticGeometry/syntheticgeometry_30260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1964, "image": "images/SyntheticGeometry/syntheticgeometry_16291noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1965, "image": "images/SyntheticGeometry/syntheticgeometry_37478noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1966, "image": "images/SyntheticGeometry/syntheticgeometry_41078.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1967, "image": "images/SyntheticGeometry/syntheticgeometry_15778.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1968, "image": "images/SyntheticGeometry/syntheticgeometry_46211noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1969, "image": "images/SyntheticGeometry/syntheticgeometry_42636noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1970, "image": "images/SyntheticGeometry/syntheticgeometry_45017.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1971, "image": "images/SyntheticGeometry/syntheticgeometry_36783noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1972, "image": "images/SyntheticGeometry/syntheticgeometry_27739noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1973, "image": "images/SyntheticGeometry/syntheticgeometry_15821noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1974, "image": "images/SyntheticGeometry/syntheticgeometry_40473.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1975, "image": "images/SyntheticGeometry/syntheticgeometry_25368noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1976, "image": "images/SyntheticGeometry/syntheticgeometry_11333noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1977, "image": "images/SyntheticGeometry/syntheticgeometry_23803noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1978, "image": "images/SyntheticGeometry/syntheticgeometry_14269.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1979, "image": "images/SyntheticGeometry/syntheticgeometry_24277noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1980, "image": "images/SyntheticGeometry/syntheticgeometry_39424noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1981, "image": "images/SyntheticGeometry/syntheticgeometry_16486noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1982, "image": "images/SyntheticGeometry/syntheticgeometry_10801.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1983, "image": "images/SyntheticGeometry/syntheticgeometry_24954.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1984, "image": "images/SyntheticGeometry/syntheticgeometry_19937noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1985, "image": "images/SyntheticGeometry/syntheticgeometry_12698noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1986, "image": "images/SyntheticGeometry/syntheticgeometry_12656noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1987, "image": "images/SyntheticGeometry/syntheticgeometry_42754noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1988, "image": "images/SyntheticGeometry/syntheticgeometry_41714noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1989, "image": "images/SyntheticGeometry/syntheticgeometry_10156noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1990, "image": "images/SyntheticGeometry/syntheticgeometry_44143noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MGN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1991, "image": "images/SyntheticGeometry/syntheticgeometry_34052.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1992, "image": "images/SyntheticGeometry/syntheticgeometry_06781noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1993, "image": "images/SyntheticGeometry/syntheticgeometry_44574noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1994, "image": "images/SyntheticGeometry/syntheticgeometry_31393.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1995, "image": "images/SyntheticGeometry/syntheticgeometry_30022noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1996, "image": "images/SyntheticGeometry/syntheticgeometry_08166noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1997, "image": "images/SyntheticGeometry/syntheticgeometry_15362noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1998, "image": "images/SyntheticGeometry/syntheticgeometry_11505.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 1999, "image": "images/SyntheticGeometry/syntheticgeometry_34372.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2000, "image": "images/SyntheticGeometry/syntheticgeometry_31855noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2001, "image": "images/SyntheticGeometry/syntheticgeometry_17127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2002, "image": "images/SyntheticGeometry/syntheticgeometry_21815noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2003, "image": "images/SyntheticGeometry/syntheticgeometry_37116noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2004, "image": "images/SyntheticGeometry/syntheticgeometry_37185.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2005, "image": "images/SyntheticGeometry/syntheticgeometry_08492.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2006, "image": "images/SyntheticGeometry/syntheticgeometry_40766.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2007, "image": "images/SyntheticGeometry/syntheticgeometry_03968noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2008, "image": "images/SyntheticGeometry/syntheticgeometry_30016noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2009, "image": "images/SyntheticGeometry/syntheticgeometry_13420noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2010, "image": "images/SyntheticGeometry/syntheticgeometry_19185.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2011, "image": "images/SyntheticGeometry/syntheticgeometry_35090noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2012, "image": "images/SyntheticGeometry/syntheticgeometry_11407.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LOM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2013, "image": "images/SyntheticGeometry/syntheticgeometry_15897noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2014, "image": "images/SyntheticGeometry/syntheticgeometry_15475noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2015, "image": "images/SyntheticGeometry/syntheticgeometry_24564.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2016, "image": "images/SyntheticGeometry/syntheticgeometry_18435.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2017, "image": "images/SyntheticGeometry/syntheticgeometry_23182.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2018, "image": "images/SyntheticGeometry/syntheticgeometry_19462noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2019, "image": "images/SyntheticGeometry/syntheticgeometry_40336noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2020, "image": "images/SyntheticGeometry/syntheticgeometry_29458.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2021, "image": "images/SyntheticGeometry/syntheticgeometry_33547.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2022, "image": "images/SyntheticGeometry/syntheticgeometry_45699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2023, "image": "images/SyntheticGeometry/syntheticgeometry_04061noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2024, "image": "images/SyntheticGeometry/syntheticgeometry_14217noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2025, "image": "images/SyntheticGeometry/syntheticgeometry_47341noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2026, "image": "images/SyntheticGeometry/syntheticgeometry_30177noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2027, "image": "images/SyntheticGeometry/syntheticgeometry_27808.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2028, "image": "images/SyntheticGeometry/syntheticgeometry_29324noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2029, "image": "images/SyntheticGeometry/syntheticgeometry_13922noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2030, "image": "images/SyntheticGeometry/syntheticgeometry_15676.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2031, "image": "images/SyntheticGeometry/syntheticgeometry_41922.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2032, "image": "images/SyntheticGeometry/syntheticgeometry_47369.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2033, "image": "images/SyntheticGeometry/syntheticgeometry_11128.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BDH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2034, "image": "images/SyntheticGeometry/syntheticgeometry_41262.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2035, "image": "images/SyntheticGeometry/syntheticgeometry_28211noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2036, "image": "images/SyntheticGeometry/syntheticgeometry_14787.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2037, "image": "images/SyntheticGeometry/syntheticgeometry_13644noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2038, "image": "images/SyntheticGeometry/syntheticgeometry_48395.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2039, "image": "images/SyntheticGeometry/syntheticgeometry_45969noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2040, "image": "images/SyntheticGeometry/syntheticgeometry_44066noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2041, "image": "images/SyntheticGeometry/syntheticgeometry_42593.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2042, "image": "images/SyntheticGeometry/syntheticgeometry_38782.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2043, "image": "images/SyntheticGeometry/syntheticgeometry_14303noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2044, "image": "images/SyntheticGeometry/syntheticgeometry_41077noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2045, "image": "images/SyntheticGeometry/syntheticgeometry_43955noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2046, "image": "images/SyntheticGeometry/syntheticgeometry_12056.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2047, "image": "images/SyntheticGeometry/syntheticgeometry_21289.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2048, "image": "images/SyntheticGeometry/syntheticgeometry_28740.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2049, "image": "images/SyntheticGeometry/syntheticgeometry_24342noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2050, "image": "images/SyntheticGeometry/syntheticgeometry_13026.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2051, "image": "images/SyntheticGeometry/syntheticgeometry_24016.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2052, "image": "images/SyntheticGeometry/syntheticgeometry_40116noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2053, "image": "images/SyntheticGeometry/syntheticgeometry_40725.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2054, "image": "images/SyntheticGeometry/syntheticgeometry_23167noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2055, "image": "images/SyntheticGeometry/syntheticgeometry_16247.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2056, "image": "images/SyntheticGeometry/syntheticgeometry_33206.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2057, "image": "images/SyntheticGeometry/syntheticgeometry_41822noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2058, "image": "images/SyntheticGeometry/syntheticgeometry_37863.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2059, "image": "images/SyntheticGeometry/syntheticgeometry_38967.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2060, "image": "images/SyntheticGeometry/syntheticgeometry_43443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2061, "image": "images/SyntheticGeometry/syntheticgeometry_11191noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2062, "image": "images/SyntheticGeometry/syntheticgeometry_31400noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2063, "image": "images/SyntheticGeometry/syntheticgeometry_18826.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2064, "image": "images/SyntheticGeometry/syntheticgeometry_21495noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2065, "image": "images/SyntheticGeometry/syntheticgeometry_09337noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2066, "image": "images/SyntheticGeometry/syntheticgeometry_47062noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2067, "image": "images/SyntheticGeometry/syntheticgeometry_41876noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2068, "image": "images/SyntheticGeometry/syntheticgeometry_32826noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2069, "image": "images/SyntheticGeometry/syntheticgeometry_08059noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2070, "image": "images/SyntheticGeometry/syntheticgeometry_24527noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2071, "image": "images/SyntheticGeometry/syntheticgeometry_40258.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2072, "image": "images/SyntheticGeometry/syntheticgeometry_21235noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2073, "image": "images/SyntheticGeometry/syntheticgeometry_43340noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2074, "image": "images/SyntheticGeometry/syntheticgeometry_49673noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2075, "image": "images/SyntheticGeometry/syntheticgeometry_45579noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2076, "image": "images/SyntheticGeometry/syntheticgeometry_02616noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2077, "image": "images/SyntheticGeometry/syntheticgeometry_47304noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2078, "image": "images/SyntheticGeometry/syntheticgeometry_37371noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2079, "image": "images/SyntheticGeometry/syntheticgeometry_25144noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2080, "image": "images/SyntheticGeometry/syntheticgeometry_16419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2081, "image": "images/SyntheticGeometry/syntheticgeometry_08195noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2082, "image": "images/SyntheticGeometry/syntheticgeometry_44325.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2083, "image": "images/SyntheticGeometry/syntheticgeometry_16518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2084, "image": "images/SyntheticGeometry/syntheticgeometry_38581noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LDK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2085, "image": "images/SyntheticGeometry/syntheticgeometry_11189.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2086, "image": "images/SyntheticGeometry/syntheticgeometry_32192noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2087, "image": "images/SyntheticGeometry/syntheticgeometry_30361noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2088, "image": "images/SyntheticGeometry/syntheticgeometry_06356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2089, "image": "images/SyntheticGeometry/syntheticgeometry_34757.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2090, "image": "images/SyntheticGeometry/syntheticgeometry_46312.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2091, "image": "images/SyntheticGeometry/syntheticgeometry_04819noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2092, "image": "images/SyntheticGeometry/syntheticgeometry_04436noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2093, "image": "images/SyntheticGeometry/syntheticgeometry_14555.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2094, "image": "images/SyntheticGeometry/syntheticgeometry_06885.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2095, "image": "images/SyntheticGeometry/syntheticgeometry_47965noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2096, "image": "images/SyntheticGeometry/syntheticgeometry_27607.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2097, "image": "images/SyntheticGeometry/syntheticgeometry_28538noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2098, "image": "images/SyntheticGeometry/syntheticgeometry_49854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2099, "image": "images/SyntheticGeometry/syntheticgeometry_41059.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CNA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2100, "image": "images/SyntheticGeometry/syntheticgeometry_43882.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2101, "image": "images/SyntheticGeometry/syntheticgeometry_24178noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2102, "image": "images/SyntheticGeometry/syntheticgeometry_22965noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2103, "image": "images/SyntheticGeometry/syntheticgeometry_12234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2104, "image": "images/SyntheticGeometry/syntheticgeometry_41756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2105, "image": "images/SyntheticGeometry/syntheticgeometry_02209noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2106, "image": "images/SyntheticGeometry/syntheticgeometry_21085.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2107, "image": "images/SyntheticGeometry/syntheticgeometry_07130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2108, "image": "images/SyntheticGeometry/syntheticgeometry_02298noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2109, "image": "images/SyntheticGeometry/syntheticgeometry_30416.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2110, "image": "images/SyntheticGeometry/syntheticgeometry_07205.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2111, "image": "images/SyntheticGeometry/syntheticgeometry_05981noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2112, "image": "images/SyntheticGeometry/syntheticgeometry_46553noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2113, "image": "images/SyntheticGeometry/syntheticgeometry_04425noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2114, "image": "images/SyntheticGeometry/syntheticgeometry_26642noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2115, "image": "images/SyntheticGeometry/syntheticgeometry_29073noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2116, "image": "images/SyntheticGeometry/syntheticgeometry_39126.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2117, "image": "images/SyntheticGeometry/syntheticgeometry_29967noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2118, "image": "images/SyntheticGeometry/syntheticgeometry_07044.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2119, "image": "images/SyntheticGeometry/syntheticgeometry_25611noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2120, "image": "images/SyntheticGeometry/syntheticgeometry_47962noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2121, "image": "images/SyntheticGeometry/syntheticgeometry_30542noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2122, "image": "images/SyntheticGeometry/syntheticgeometry_35271.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2123, "image": "images/SyntheticGeometry/syntheticgeometry_04689noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2124, "image": "images/SyntheticGeometry/syntheticgeometry_22427noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2125, "image": "images/SyntheticGeometry/syntheticgeometry_26987noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2126, "image": "images/SyntheticGeometry/syntheticgeometry_45341noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2127, "image": "images/SyntheticGeometry/syntheticgeometry_30797noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2128, "image": "images/SyntheticGeometry/syntheticgeometry_17473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2129, "image": "images/SyntheticGeometry/syntheticgeometry_47012noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2130, "image": "images/SyntheticGeometry/syntheticgeometry_14350.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2131, "image": "images/SyntheticGeometry/syntheticgeometry_23506noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2132, "image": "images/SyntheticGeometry/syntheticgeometry_28780noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2133, "image": "images/SyntheticGeometry/syntheticgeometry_36018noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2134, "image": "images/SyntheticGeometry/syntheticgeometry_02607noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2135, "image": "images/SyntheticGeometry/syntheticgeometry_15610noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2136, "image": "images/SyntheticGeometry/syntheticgeometry_03281.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2137, "image": "images/SyntheticGeometry/syntheticgeometry_15366.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2138, "image": "images/SyntheticGeometry/syntheticgeometry_44748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2139, "image": "images/SyntheticGeometry/syntheticgeometry_26511.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2140, "image": "images/SyntheticGeometry/syntheticgeometry_35772noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2141, "image": "images/SyntheticGeometry/syntheticgeometry_45122.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2142, "image": "images/SyntheticGeometry/syntheticgeometry_05212noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2143, "image": "images/SyntheticGeometry/syntheticgeometry_30127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2144, "image": "images/SyntheticGeometry/syntheticgeometry_41813noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2145, "image": "images/SyntheticGeometry/syntheticgeometry_45999noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2146, "image": "images/SyntheticGeometry/syntheticgeometry_29346.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2147, "image": "images/SyntheticGeometry/syntheticgeometry_05494noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2148, "image": "images/SyntheticGeometry/syntheticgeometry_35815noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2149, "image": "images/SyntheticGeometry/syntheticgeometry_25495.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2150, "image": "images/SyntheticGeometry/syntheticgeometry_25987.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2151, "image": "images/SyntheticGeometry/syntheticgeometry_48837noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2152, "image": "images/SyntheticGeometry/syntheticgeometry_03286.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2153, "image": "images/SyntheticGeometry/syntheticgeometry_23855noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2154, "image": "images/SyntheticGeometry/syntheticgeometry_38057.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2155, "image": "images/SyntheticGeometry/syntheticgeometry_46066.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2156, "image": "images/SyntheticGeometry/syntheticgeometry_17616noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2157, "image": "images/SyntheticGeometry/syntheticgeometry_11202noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2158, "image": "images/SyntheticGeometry/syntheticgeometry_21837noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2159, "image": "images/SyntheticGeometry/syntheticgeometry_25705.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2160, "image": "images/SyntheticGeometry/syntheticgeometry_40697noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2161, "image": "images/SyntheticGeometry/syntheticgeometry_15714.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2162, "image": "images/SyntheticGeometry/syntheticgeometry_10804.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2163, "image": "images/SyntheticGeometry/syntheticgeometry_43960noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2164, "image": "images/SyntheticGeometry/syntheticgeometry_29514noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2165, "image": "images/SyntheticGeometry/syntheticgeometry_26205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2166, "image": "images/SyntheticGeometry/syntheticgeometry_41418noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2167, "image": "images/SyntheticGeometry/syntheticgeometry_17693noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2168, "image": "images/SyntheticGeometry/syntheticgeometry_38485noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2169, "image": "images/SyntheticGeometry/syntheticgeometry_05327noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2170, "image": "images/SyntheticGeometry/syntheticgeometry_24636noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2171, "image": "images/SyntheticGeometry/syntheticgeometry_28462noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2172, "image": "images/SyntheticGeometry/syntheticgeometry_40875noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2173, "image": "images/SyntheticGeometry/syntheticgeometry_26740.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2174, "image": "images/SyntheticGeometry/syntheticgeometry_48974.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2175, "image": "images/SyntheticGeometry/syntheticgeometry_45617.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2176, "image": "images/SyntheticGeometry/syntheticgeometry_37840noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2177, "image": "images/SyntheticGeometry/syntheticgeometry_25029noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2178, "image": "images/SyntheticGeometry/syntheticgeometry_09134.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2179, "image": "images/SyntheticGeometry/syntheticgeometry_42122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2180, "image": "images/SyntheticGeometry/syntheticgeometry_35538noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2181, "image": "images/SyntheticGeometry/syntheticgeometry_10238.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2182, "image": "images/SyntheticGeometry/syntheticgeometry_09796noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2183, "image": "images/SyntheticGeometry/syntheticgeometry_02814noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2184, "image": "images/SyntheticGeometry/syntheticgeometry_21210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2185, "image": "images/SyntheticGeometry/syntheticgeometry_05610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2186, "image": "images/SyntheticGeometry/syntheticgeometry_29847noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2187, "image": "images/SyntheticGeometry/syntheticgeometry_11368noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2188, "image": "images/SyntheticGeometry/syntheticgeometry_33120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2189, "image": "images/SyntheticGeometry/syntheticgeometry_35701noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2190, "image": "images/SyntheticGeometry/syntheticgeometry_13816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2191, "image": "images/SyntheticGeometry/syntheticgeometry_49970noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2192, "image": "images/SyntheticGeometry/syntheticgeometry_14848noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CJN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2193, "image": "images/SyntheticGeometry/syntheticgeometry_44741noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2194, "image": "images/SyntheticGeometry/syntheticgeometry_11674noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2195, "image": "images/SyntheticGeometry/syntheticgeometry_24264noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2196, "image": "images/SyntheticGeometry/syntheticgeometry_26767noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2197, "image": "images/SyntheticGeometry/syntheticgeometry_09582.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2198, "image": "images/SyntheticGeometry/syntheticgeometry_29572noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2199, "image": "images/SyntheticGeometry/syntheticgeometry_12626noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2200, "image": "images/SyntheticGeometry/syntheticgeometry_48844.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2201, "image": "images/SyntheticGeometry/syntheticgeometry_26401.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2202, "image": "images/SyntheticGeometry/syntheticgeometry_34130.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2203, "image": "images/SyntheticGeometry/syntheticgeometry_27923.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2204, "image": "images/SyntheticGeometry/syntheticgeometry_14526noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2205, "image": "images/SyntheticGeometry/syntheticgeometry_19201.png", "conversations": [{"from": "human", "value": "\nThere is a triangle KDJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2206, "image": "images/SyntheticGeometry/syntheticgeometry_11874noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2207, "image": "images/SyntheticGeometry/syntheticgeometry_03091noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2208, "image": "images/SyntheticGeometry/syntheticgeometry_12771noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2209, "image": "images/SyntheticGeometry/syntheticgeometry_29213.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2210, "image": "images/SyntheticGeometry/syntheticgeometry_49401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2211, "image": "images/SyntheticGeometry/syntheticgeometry_24697.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2212, "image": "images/SyntheticGeometry/syntheticgeometry_22425noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2213, "image": "images/SyntheticGeometry/syntheticgeometry_09991noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2214, "image": "images/SyntheticGeometry/syntheticgeometry_24394noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2215, "image": "images/SyntheticGeometry/syntheticgeometry_15490.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2216, "image": "images/SyntheticGeometry/syntheticgeometry_30650noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2217, "image": "images/SyntheticGeometry/syntheticgeometry_21768noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2218, "image": "images/SyntheticGeometry/syntheticgeometry_35253.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2219, "image": "images/SyntheticGeometry/syntheticgeometry_47915.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2220, "image": "images/SyntheticGeometry/syntheticgeometry_04514noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2221, "image": "images/SyntheticGeometry/syntheticgeometry_48121.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2222, "image": "images/SyntheticGeometry/syntheticgeometry_33321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2223, "image": "images/SyntheticGeometry/syntheticgeometry_11933noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2224, "image": "images/SyntheticGeometry/syntheticgeometry_32847noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2225, "image": "images/SyntheticGeometry/syntheticgeometry_31431.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2226, "image": "images/SyntheticGeometry/syntheticgeometry_32109noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2227, "image": "images/SyntheticGeometry/syntheticgeometry_26671noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2228, "image": "images/SyntheticGeometry/syntheticgeometry_47959noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2229, "image": "images/SyntheticGeometry/syntheticgeometry_48092noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2230, "image": "images/SyntheticGeometry/syntheticgeometry_21608.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2231, "image": "images/SyntheticGeometry/syntheticgeometry_30390noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2232, "image": "images/SyntheticGeometry/syntheticgeometry_39351.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2233, "image": "images/SyntheticGeometry/syntheticgeometry_03325noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2234, "image": "images/SyntheticGeometry/syntheticgeometry_02455.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2235, "image": "images/SyntheticGeometry/syntheticgeometry_02993noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2236, "image": "images/SyntheticGeometry/syntheticgeometry_37592.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2237, "image": "images/SyntheticGeometry/syntheticgeometry_03645noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2238, "image": "images/SyntheticGeometry/syntheticgeometry_28508noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2239, "image": "images/SyntheticGeometry/syntheticgeometry_48380noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2240, "image": "images/SyntheticGeometry/syntheticgeometry_46172noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2241, "image": "images/SyntheticGeometry/syntheticgeometry_32611noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2242, "image": "images/SyntheticGeometry/syntheticgeometry_46239noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2243, "image": "images/SyntheticGeometry/syntheticgeometry_08164noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2244, "image": "images/SyntheticGeometry/syntheticgeometry_20683noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2245, "image": "images/SyntheticGeometry/syntheticgeometry_36233noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2246, "image": "images/SyntheticGeometry/syntheticgeometry_30973noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2247, "image": "images/SyntheticGeometry/syntheticgeometry_29635noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2248, "image": "images/SyntheticGeometry/syntheticgeometry_16946noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BMI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2249, "image": "images/SyntheticGeometry/syntheticgeometry_42452noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2250, "image": "images/SyntheticGeometry/syntheticgeometry_13615noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2251, "image": "images/SyntheticGeometry/syntheticgeometry_38353.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2252, "image": "images/SyntheticGeometry/syntheticgeometry_49009noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2253, "image": "images/SyntheticGeometry/syntheticgeometry_27596noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HMF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2254, "image": "images/SyntheticGeometry/syntheticgeometry_39593noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2255, "image": "images/SyntheticGeometry/syntheticgeometry_41038noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2256, "image": "images/SyntheticGeometry/syntheticgeometry_05118.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2257, "image": "images/SyntheticGeometry/syntheticgeometry_03272noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2258, "image": "images/SyntheticGeometry/syntheticgeometry_47023noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2259, "image": "images/SyntheticGeometry/syntheticgeometry_35540noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2260, "image": "images/SyntheticGeometry/syntheticgeometry_22149.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2261, "image": "images/SyntheticGeometry/syntheticgeometry_38647noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2262, "image": "images/SyntheticGeometry/syntheticgeometry_21902noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2263, "image": "images/SyntheticGeometry/syntheticgeometry_15648noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2264, "image": "images/SyntheticGeometry/syntheticgeometry_25178noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2265, "image": "images/SyntheticGeometry/syntheticgeometry_25787noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2266, "image": "images/SyntheticGeometry/syntheticgeometry_22349noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2267, "image": "images/SyntheticGeometry/syntheticgeometry_35576noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2268, "image": "images/SyntheticGeometry/syntheticgeometry_12814noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2269, "image": "images/SyntheticGeometry/syntheticgeometry_24848noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2270, "image": "images/SyntheticGeometry/syntheticgeometry_30825noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2271, "image": "images/SyntheticGeometry/syntheticgeometry_21220noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2272, "image": "images/SyntheticGeometry/syntheticgeometry_20918noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2273, "image": "images/SyntheticGeometry/syntheticgeometry_47976noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2274, "image": "images/SyntheticGeometry/syntheticgeometry_16666noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2275, "image": "images/SyntheticGeometry/syntheticgeometry_20889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2276, "image": "images/SyntheticGeometry/syntheticgeometry_13517.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2277, "image": "images/SyntheticGeometry/syntheticgeometry_08312.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2278, "image": "images/SyntheticGeometry/syntheticgeometry_09426.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2279, "image": "images/SyntheticGeometry/syntheticgeometry_35361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2280, "image": "images/SyntheticGeometry/syntheticgeometry_17081.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2281, "image": "images/SyntheticGeometry/syntheticgeometry_19396.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2282, "image": "images/SyntheticGeometry/syntheticgeometry_37537noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2283, "image": "images/SyntheticGeometry/syntheticgeometry_32188noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2284, "image": "images/SyntheticGeometry/syntheticgeometry_09250noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2285, "image": "images/SyntheticGeometry/syntheticgeometry_38634noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2286, "image": "images/SyntheticGeometry/syntheticgeometry_31987noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2287, "image": "images/SyntheticGeometry/syntheticgeometry_14391noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2288, "image": "images/SyntheticGeometry/syntheticgeometry_37603noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2289, "image": "images/SyntheticGeometry/syntheticgeometry_02152.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2290, "image": "images/SyntheticGeometry/syntheticgeometry_22618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2291, "image": "images/SyntheticGeometry/syntheticgeometry_47913.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2292, "image": "images/SyntheticGeometry/syntheticgeometry_35228.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2293, "image": "images/SyntheticGeometry/syntheticgeometry_08309noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2294, "image": "images/SyntheticGeometry/syntheticgeometry_06262noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2295, "image": "images/SyntheticGeometry/syntheticgeometry_40190noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2296, "image": "images/SyntheticGeometry/syntheticgeometry_48402.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2297, "image": "images/SyntheticGeometry/syntheticgeometry_24837.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2298, "image": "images/SyntheticGeometry/syntheticgeometry_20484noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2299, "image": "images/SyntheticGeometry/syntheticgeometry_43844noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2300, "image": "images/SyntheticGeometry/syntheticgeometry_43926.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2301, "image": "images/SyntheticGeometry/syntheticgeometry_39684noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2302, "image": "images/SyntheticGeometry/syntheticgeometry_06177noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2303, "image": "images/SyntheticGeometry/syntheticgeometry_38820.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2304, "image": "images/SyntheticGeometry/syntheticgeometry_47168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2305, "image": "images/SyntheticGeometry/syntheticgeometry_23099noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2306, "image": "images/SyntheticGeometry/syntheticgeometry_44852noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2307, "image": "images/SyntheticGeometry/syntheticgeometry_02676.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2308, "image": "images/SyntheticGeometry/syntheticgeometry_23917noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2309, "image": "images/SyntheticGeometry/syntheticgeometry_16677.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2310, "image": "images/SyntheticGeometry/syntheticgeometry_45977.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2311, "image": "images/SyntheticGeometry/syntheticgeometry_46002.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2312, "image": "images/SyntheticGeometry/syntheticgeometry_25997noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2313, "image": "images/SyntheticGeometry/syntheticgeometry_41553noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2314, "image": "images/SyntheticGeometry/syntheticgeometry_42875noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FLM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2315, "image": "images/SyntheticGeometry/syntheticgeometry_23073.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2316, "image": "images/SyntheticGeometry/syntheticgeometry_04547noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2317, "image": "images/SyntheticGeometry/syntheticgeometry_19271.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2318, "image": "images/SyntheticGeometry/syntheticgeometry_37550.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2319, "image": "images/SyntheticGeometry/syntheticgeometry_45845noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2320, "image": "images/SyntheticGeometry/syntheticgeometry_26953.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2321, "image": "images/SyntheticGeometry/syntheticgeometry_45024.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2322, "image": "images/SyntheticGeometry/syntheticgeometry_14955noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2323, "image": "images/SyntheticGeometry/syntheticgeometry_47593noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2324, "image": "images/SyntheticGeometry/syntheticgeometry_30488noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2325, "image": "images/SyntheticGeometry/syntheticgeometry_27621noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2326, "image": "images/SyntheticGeometry/syntheticgeometry_30490noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2327, "image": "images/SyntheticGeometry/syntheticgeometry_49505.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2328, "image": "images/SyntheticGeometry/syntheticgeometry_18972.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2329, "image": "images/SyntheticGeometry/syntheticgeometry_10542noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2330, "image": "images/SyntheticGeometry/syntheticgeometry_13277.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2331, "image": "images/SyntheticGeometry/syntheticgeometry_40953.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2332, "image": "images/SyntheticGeometry/syntheticgeometry_32505noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2333, "image": "images/SyntheticGeometry/syntheticgeometry_33524.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2334, "image": "images/SyntheticGeometry/syntheticgeometry_49554.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2335, "image": "images/SyntheticGeometry/syntheticgeometry_05445noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2336, "image": "images/SyntheticGeometry/syntheticgeometry_19454noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2337, "image": "images/SyntheticGeometry/syntheticgeometry_31995.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2338, "image": "images/SyntheticGeometry/syntheticgeometry_47039.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2339, "image": "images/SyntheticGeometry/syntheticgeometry_15273.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2340, "image": "images/SyntheticGeometry/syntheticgeometry_39640noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2341, "image": "images/SyntheticGeometry/syntheticgeometry_22336noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2342, "image": "images/SyntheticGeometry/syntheticgeometry_29578.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2343, "image": "images/SyntheticGeometry/syntheticgeometry_20437noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2344, "image": "images/SyntheticGeometry/syntheticgeometry_31529.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2345, "image": "images/SyntheticGeometry/syntheticgeometry_02401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2346, "image": "images/SyntheticGeometry/syntheticgeometry_33682.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2347, "image": "images/SyntheticGeometry/syntheticgeometry_06814.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2348, "image": "images/SyntheticGeometry/syntheticgeometry_20448noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2349, "image": "images/SyntheticGeometry/syntheticgeometry_06547noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2350, "image": "images/SyntheticGeometry/syntheticgeometry_13365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2351, "image": "images/SyntheticGeometry/syntheticgeometry_37942.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2352, "image": "images/SyntheticGeometry/syntheticgeometry_35637noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2353, "image": "images/SyntheticGeometry/syntheticgeometry_34543noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2354, "image": "images/SyntheticGeometry/syntheticgeometry_34785noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2355, "image": "images/SyntheticGeometry/syntheticgeometry_15513.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2356, "image": "images/SyntheticGeometry/syntheticgeometry_49891noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2357, "image": "images/SyntheticGeometry/syntheticgeometry_32798noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle SMK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2358, "image": "images/SyntheticGeometry/syntheticgeometry_27280noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2359, "image": "images/SyntheticGeometry/syntheticgeometry_48412noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2360, "image": "images/SyntheticGeometry/syntheticgeometry_45853noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2361, "image": "images/SyntheticGeometry/syntheticgeometry_13340noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2362, "image": "images/SyntheticGeometry/syntheticgeometry_16917.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2363, "image": "images/SyntheticGeometry/syntheticgeometry_29294noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2364, "image": "images/SyntheticGeometry/syntheticgeometry_28006noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2365, "image": "images/SyntheticGeometry/syntheticgeometry_31599.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2366, "image": "images/SyntheticGeometry/syntheticgeometry_20621.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2367, "image": "images/SyntheticGeometry/syntheticgeometry_42673noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2368, "image": "images/SyntheticGeometry/syntheticgeometry_36765noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2369, "image": "images/SyntheticGeometry/syntheticgeometry_20260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2370, "image": "images/SyntheticGeometry/syntheticgeometry_33633.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2371, "image": "images/SyntheticGeometry/syntheticgeometry_06366noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2372, "image": "images/SyntheticGeometry/syntheticgeometry_05626noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2373, "image": "images/SyntheticGeometry/syntheticgeometry_11890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2374, "image": "images/SyntheticGeometry/syntheticgeometry_19639.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2375, "image": "images/SyntheticGeometry/syntheticgeometry_27377noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2376, "image": "images/SyntheticGeometry/syntheticgeometry_18857noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2377, "image": "images/SyntheticGeometry/syntheticgeometry_28062noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2378, "image": "images/SyntheticGeometry/syntheticgeometry_17564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2379, "image": "images/SyntheticGeometry/syntheticgeometry_09414noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2380, "image": "images/SyntheticGeometry/syntheticgeometry_16902noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2381, "image": "images/SyntheticGeometry/syntheticgeometry_03171noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2382, "image": "images/SyntheticGeometry/syntheticgeometry_43085noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2383, "image": "images/SyntheticGeometry/syntheticgeometry_41884noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2384, "image": "images/SyntheticGeometry/syntheticgeometry_37522noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2385, "image": "images/SyntheticGeometry/syntheticgeometry_43121noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2386, "image": "images/SyntheticGeometry/syntheticgeometry_48550.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2387, "image": "images/SyntheticGeometry/syntheticgeometry_29392.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2388, "image": "images/SyntheticGeometry/syntheticgeometry_21649.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2389, "image": "images/SyntheticGeometry/syntheticgeometry_08724noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2390, "image": "images/SyntheticGeometry/syntheticgeometry_12641.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2391, "image": "images/SyntheticGeometry/syntheticgeometry_43197noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2392, "image": "images/SyntheticGeometry/syntheticgeometry_23530.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2393, "image": "images/SyntheticGeometry/syntheticgeometry_34036noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2394, "image": "images/SyntheticGeometry/syntheticgeometry_28287noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2395, "image": "images/SyntheticGeometry/syntheticgeometry_15525noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2396, "image": "images/SyntheticGeometry/syntheticgeometry_30775noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2397, "image": "images/SyntheticGeometry/syntheticgeometry_42776.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2398, "image": "images/SyntheticGeometry/syntheticgeometry_07665noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2399, "image": "images/SyntheticGeometry/syntheticgeometry_30108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2400, "image": "images/SyntheticGeometry/syntheticgeometry_15354noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2401, "image": "images/SyntheticGeometry/syntheticgeometry_17086noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2402, "image": "images/SyntheticGeometry/syntheticgeometry_43367noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2403, "image": "images/SyntheticGeometry/syntheticgeometry_39850noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2404, "image": "images/SyntheticGeometry/syntheticgeometry_39759.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2405, "image": "images/SyntheticGeometry/syntheticgeometry_32860.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2406, "image": "images/SyntheticGeometry/syntheticgeometry_37312noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2407, "image": "images/SyntheticGeometry/syntheticgeometry_39932.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AKN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2408, "image": "images/SyntheticGeometry/syntheticgeometry_49647noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2409, "image": "images/SyntheticGeometry/syntheticgeometry_48797noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2410, "image": "images/SyntheticGeometry/syntheticgeometry_19712noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2411, "image": "images/SyntheticGeometry/syntheticgeometry_36052noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2412, "image": "images/SyntheticGeometry/syntheticgeometry_21424noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2413, "image": "images/SyntheticGeometry/syntheticgeometry_41096noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2414, "image": "images/SyntheticGeometry/syntheticgeometry_22686noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2415, "image": "images/SyntheticGeometry/syntheticgeometry_27800noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2416, "image": "images/SyntheticGeometry/syntheticgeometry_20839.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2417, "image": "images/SyntheticGeometry/syntheticgeometry_10337noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2418, "image": "images/SyntheticGeometry/syntheticgeometry_02658noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2419, "image": "images/SyntheticGeometry/syntheticgeometry_06185noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2420, "image": "images/SyntheticGeometry/syntheticgeometry_10220noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2421, "image": "images/SyntheticGeometry/syntheticgeometry_48897noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2422, "image": "images/SyntheticGeometry/syntheticgeometry_09359noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2423, "image": "images/SyntheticGeometry/syntheticgeometry_47040.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2424, "image": "images/SyntheticGeometry/syntheticgeometry_43181.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2425, "image": "images/SyntheticGeometry/syntheticgeometry_26416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2426, "image": "images/SyntheticGeometry/syntheticgeometry_20494.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2427, "image": "images/SyntheticGeometry/syntheticgeometry_22980.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2428, "image": "images/SyntheticGeometry/syntheticgeometry_09033.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2429, "image": "images/SyntheticGeometry/syntheticgeometry_19282.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2430, "image": "images/SyntheticGeometry/syntheticgeometry_17915.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2431, "image": "images/SyntheticGeometry/syntheticgeometry_45570noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2432, "image": "images/SyntheticGeometry/syntheticgeometry_22318noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2433, "image": "images/SyntheticGeometry/syntheticgeometry_12699.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2434, "image": "images/SyntheticGeometry/syntheticgeometry_06821.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2435, "image": "images/SyntheticGeometry/syntheticgeometry_08110noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2436, "image": "images/SyntheticGeometry/syntheticgeometry_38238noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2437, "image": "images/SyntheticGeometry/syntheticgeometry_39309.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2438, "image": "images/SyntheticGeometry/syntheticgeometry_46086.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2439, "image": "images/SyntheticGeometry/syntheticgeometry_37441noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2440, "image": "images/SyntheticGeometry/syntheticgeometry_32677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2441, "image": "images/SyntheticGeometry/syntheticgeometry_24834noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2442, "image": "images/SyntheticGeometry/syntheticgeometry_46275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2443, "image": "images/SyntheticGeometry/syntheticgeometry_11454noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2444, "image": "images/SyntheticGeometry/syntheticgeometry_15095noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2445, "image": "images/SyntheticGeometry/syntheticgeometry_10388noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2446, "image": "images/SyntheticGeometry/syntheticgeometry_06893noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2447, "image": "images/SyntheticGeometry/syntheticgeometry_20734.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2448, "image": "images/SyntheticGeometry/syntheticgeometry_14924noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2449, "image": "images/SyntheticGeometry/syntheticgeometry_35618.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2450, "image": "images/SyntheticGeometry/syntheticgeometry_03624noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2451, "image": "images/SyntheticGeometry/syntheticgeometry_37476noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LOM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2452, "image": "images/SyntheticGeometry/syntheticgeometry_42421noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2453, "image": "images/SyntheticGeometry/syntheticgeometry_44118noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2454, "image": "images/SyntheticGeometry/syntheticgeometry_15596.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2455, "image": "images/SyntheticGeometry/syntheticgeometry_17538.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2456, "image": "images/SyntheticGeometry/syntheticgeometry_02566noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2457, "image": "images/SyntheticGeometry/syntheticgeometry_19752noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2458, "image": "images/SyntheticGeometry/syntheticgeometry_19140.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2459, "image": "images/SyntheticGeometry/syntheticgeometry_44827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2460, "image": "images/SyntheticGeometry/syntheticgeometry_07885noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2461, "image": "images/SyntheticGeometry/syntheticgeometry_29748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2462, "image": "images/SyntheticGeometry/syntheticgeometry_02794noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2463, "image": "images/SyntheticGeometry/syntheticgeometry_31273noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2464, "image": "images/SyntheticGeometry/syntheticgeometry_05152noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2465, "image": "images/SyntheticGeometry/syntheticgeometry_26198noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2466, "image": "images/SyntheticGeometry/syntheticgeometry_44385.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2467, "image": "images/SyntheticGeometry/syntheticgeometry_49421.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2468, "image": "images/SyntheticGeometry/syntheticgeometry_20708noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2469, "image": "images/SyntheticGeometry/syntheticgeometry_41581noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2470, "image": "images/SyntheticGeometry/syntheticgeometry_34155noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2471, "image": "images/SyntheticGeometry/syntheticgeometry_07639.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2472, "image": "images/SyntheticGeometry/syntheticgeometry_03304noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2473, "image": "images/SyntheticGeometry/syntheticgeometry_28640noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2474, "image": "images/SyntheticGeometry/syntheticgeometry_38314.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2475, "image": "images/SyntheticGeometry/syntheticgeometry_47456noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2476, "image": "images/SyntheticGeometry/syntheticgeometry_43484.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2477, "image": "images/SyntheticGeometry/syntheticgeometry_49991.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2478, "image": "images/SyntheticGeometry/syntheticgeometry_03033.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2479, "image": "images/SyntheticGeometry/syntheticgeometry_38280noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2480, "image": "images/SyntheticGeometry/syntheticgeometry_03218noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2481, "image": "images/SyntheticGeometry/syntheticgeometry_30767.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2482, "image": "images/SyntheticGeometry/syntheticgeometry_39600noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2483, "image": "images/SyntheticGeometry/syntheticgeometry_23601.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2484, "image": "images/SyntheticGeometry/syntheticgeometry_12272noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2485, "image": "images/SyntheticGeometry/syntheticgeometry_23293.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2486, "image": "images/SyntheticGeometry/syntheticgeometry_46339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2487, "image": "images/SyntheticGeometry/syntheticgeometry_49190noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2488, "image": "images/SyntheticGeometry/syntheticgeometry_33742noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2489, "image": "images/SyntheticGeometry/syntheticgeometry_43710noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2490, "image": "images/SyntheticGeometry/syntheticgeometry_31696.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2491, "image": "images/SyntheticGeometry/syntheticgeometry_11294noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2492, "image": "images/SyntheticGeometry/syntheticgeometry_48239noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2493, "image": "images/SyntheticGeometry/syntheticgeometry_43127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2494, "image": "images/SyntheticGeometry/syntheticgeometry_04169.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2495, "image": "images/SyntheticGeometry/syntheticgeometry_05817.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2496, "image": "images/SyntheticGeometry/syntheticgeometry_28010.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2497, "image": "images/SyntheticGeometry/syntheticgeometry_10825noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2498, "image": "images/SyntheticGeometry/syntheticgeometry_04089.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2499, "image": "images/SyntheticGeometry/syntheticgeometry_36405.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 2500, "image": "images/SyntheticGeometry/syntheticgeometry_44144noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2501, "image": "images/SyntheticGeometry/syntheticgeometry_22342noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CKL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2502, "image": "images/SyntheticGeometry/syntheticgeometry_41488noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2503, "image": "images/SyntheticGeometry/syntheticgeometry_42156.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2504, "image": "images/SyntheticGeometry/syntheticgeometry_44543noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2505, "image": "images/SyntheticGeometry/syntheticgeometry_21114noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2506, "image": "images/SyntheticGeometry/syntheticgeometry_46460noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2507, "image": "images/SyntheticGeometry/syntheticgeometry_47995noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2508, "image": "images/SyntheticGeometry/syntheticgeometry_38603noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2509, "image": "images/SyntheticGeometry/syntheticgeometry_49451noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2510, "image": "images/SyntheticGeometry/syntheticgeometry_17648noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2511, "image": "images/SyntheticGeometry/syntheticgeometry_29537noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2512, "image": "images/SyntheticGeometry/syntheticgeometry_15078noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2513, "image": "images/SyntheticGeometry/syntheticgeometry_23918.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2514, "image": "images/SyntheticGeometry/syntheticgeometry_18854noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JNK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2515, "image": "images/SyntheticGeometry/syntheticgeometry_17279.png", "conversations": [{"from": "human", "value": "\nThere is no triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2516, "image": "images/SyntheticGeometry/syntheticgeometry_27534noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2517, "image": "images/SyntheticGeometry/syntheticgeometry_11938noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2518, "image": "images/SyntheticGeometry/syntheticgeometry_30428noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2519, "image": "images/SyntheticGeometry/syntheticgeometry_02566noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2520, "image": "images/SyntheticGeometry/syntheticgeometry_15968noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2521, "image": "images/SyntheticGeometry/syntheticgeometry_35850noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2522, "image": "images/SyntheticGeometry/syntheticgeometry_49489noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2523, "image": "images/SyntheticGeometry/syntheticgeometry_22587noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2524, "image": "images/SyntheticGeometry/syntheticgeometry_02588noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2525, "image": "images/SyntheticGeometry/syntheticgeometry_12611.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2526, "image": "images/SyntheticGeometry/syntheticgeometry_08983noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2527, "image": "images/SyntheticGeometry/syntheticgeometry_12306noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2528, "image": "images/SyntheticGeometry/syntheticgeometry_03652noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2529, "image": "images/SyntheticGeometry/syntheticgeometry_36911.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2530, "image": "images/SyntheticGeometry/syntheticgeometry_25296.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2531, "image": "images/SyntheticGeometry/syntheticgeometry_16379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2532, "image": "images/SyntheticGeometry/syntheticgeometry_14002noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2533, "image": "images/SyntheticGeometry/syntheticgeometry_14506noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2534, "image": "images/SyntheticGeometry/syntheticgeometry_11965noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2535, "image": "images/SyntheticGeometry/syntheticgeometry_08879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2536, "image": "images/SyntheticGeometry/syntheticgeometry_30655noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BDH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2537, "image": "images/SyntheticGeometry/syntheticgeometry_19315noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2538, "image": "images/SyntheticGeometry/syntheticgeometry_07367noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2539, "image": "images/SyntheticGeometry/syntheticgeometry_10658noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2540, "image": "images/SyntheticGeometry/syntheticgeometry_12291noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2541, "image": "images/SyntheticGeometry/syntheticgeometry_47806noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2542, "image": "images/SyntheticGeometry/syntheticgeometry_46552.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2543, "image": "images/SyntheticGeometry/syntheticgeometry_27302noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2544, "image": "images/SyntheticGeometry/syntheticgeometry_41343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2545, "image": "images/SyntheticGeometry/syntheticgeometry_21424noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2546, "image": "images/SyntheticGeometry/syntheticgeometry_15129.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2547, "image": "images/SyntheticGeometry/syntheticgeometry_39684noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2548, "image": "images/SyntheticGeometry/syntheticgeometry_29291noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2549, "image": "images/SyntheticGeometry/syntheticgeometry_48507noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2550, "image": "images/SyntheticGeometry/syntheticgeometry_17452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2551, "image": "images/SyntheticGeometry/syntheticgeometry_05738noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2552, "image": "images/SyntheticGeometry/syntheticgeometry_07642noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2553, "image": "images/SyntheticGeometry/syntheticgeometry_16074.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2554, "image": "images/SyntheticGeometry/syntheticgeometry_08279noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2555, "image": "images/SyntheticGeometry/syntheticgeometry_10145.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2556, "image": "images/SyntheticGeometry/syntheticgeometry_15829noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2557, "image": "images/SyntheticGeometry/syntheticgeometry_33650.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2558, "image": "images/SyntheticGeometry/syntheticgeometry_17261noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2559, "image": "images/SyntheticGeometry/syntheticgeometry_49526.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2560, "image": "images/SyntheticGeometry/syntheticgeometry_17843noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2561, "image": "images/SyntheticGeometry/syntheticgeometry_48396.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2562, "image": "images/SyntheticGeometry/syntheticgeometry_20800noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2563, "image": "images/SyntheticGeometry/syntheticgeometry_22307noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2564, "image": "images/SyntheticGeometry/syntheticgeometry_14492.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2565, "image": "images/SyntheticGeometry/syntheticgeometry_14407noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2566, "image": "images/SyntheticGeometry/syntheticgeometry_22268noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2567, "image": "images/SyntheticGeometry/syntheticgeometry_07767noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2568, "image": "images/SyntheticGeometry/syntheticgeometry_35680.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2569, "image": "images/SyntheticGeometry/syntheticgeometry_02607noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2570, "image": "images/SyntheticGeometry/syntheticgeometry_07988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2571, "image": "images/SyntheticGeometry/syntheticgeometry_11291.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2572, "image": "images/SyntheticGeometry/syntheticgeometry_24195noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KNL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2573, "image": "images/SyntheticGeometry/syntheticgeometry_06547noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2574, "image": "images/SyntheticGeometry/syntheticgeometry_30702.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2575, "image": "images/SyntheticGeometry/syntheticgeometry_15505noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2576, "image": "images/SyntheticGeometry/syntheticgeometry_02058noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2577, "image": "images/SyntheticGeometry/syntheticgeometry_46407.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2578, "image": "images/SyntheticGeometry/syntheticgeometry_26128noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2579, "image": "images/SyntheticGeometry/syntheticgeometry_47321.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2580, "image": "images/SyntheticGeometry/syntheticgeometry_39337noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2581, "image": "images/SyntheticGeometry/syntheticgeometry_24085noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2582, "image": "images/SyntheticGeometry/syntheticgeometry_20348noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2583, "image": "images/SyntheticGeometry/syntheticgeometry_36306noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2584, "image": "images/SyntheticGeometry/syntheticgeometry_28934.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2585, "image": "images/SyntheticGeometry/syntheticgeometry_31328noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2586, "image": "images/SyntheticGeometry/syntheticgeometry_47195.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2587, "image": "images/SyntheticGeometry/syntheticgeometry_21816.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2588, "image": "images/SyntheticGeometry/syntheticgeometry_30502.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2589, "image": "images/SyntheticGeometry/syntheticgeometry_07575noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2590, "image": "images/SyntheticGeometry/syntheticgeometry_47756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2591, "image": "images/SyntheticGeometry/syntheticgeometry_29899noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2592, "image": "images/SyntheticGeometry/syntheticgeometry_15247noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2593, "image": "images/SyntheticGeometry/syntheticgeometry_29775noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2594, "image": "images/SyntheticGeometry/syntheticgeometry_19194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2595, "image": "images/SyntheticGeometry/syntheticgeometry_45704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2596, "image": "images/SyntheticGeometry/syntheticgeometry_49895noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2597, "image": "images/SyntheticGeometry/syntheticgeometry_28755.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2598, "image": "images/SyntheticGeometry/syntheticgeometry_40089.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2599, "image": "images/SyntheticGeometry/syntheticgeometry_41583noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2600, "image": "images/SyntheticGeometry/syntheticgeometry_30774.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2601, "image": "images/SyntheticGeometry/syntheticgeometry_08057.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2602, "image": "images/SyntheticGeometry/syntheticgeometry_34662noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2603, "image": "images/SyntheticGeometry/syntheticgeometry_02626noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2604, "image": "images/SyntheticGeometry/syntheticgeometry_30418noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2605, "image": "images/SyntheticGeometry/syntheticgeometry_08054noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2606, "image": "images/SyntheticGeometry/syntheticgeometry_47340noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2607, "image": "images/SyntheticGeometry/syntheticgeometry_22198.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2608, "image": "images/SyntheticGeometry/syntheticgeometry_36317noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2609, "image": "images/SyntheticGeometry/syntheticgeometry_34811noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2610, "image": "images/SyntheticGeometry/syntheticgeometry_06415noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2611, "image": "images/SyntheticGeometry/syntheticgeometry_38519noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2612, "image": "images/SyntheticGeometry/syntheticgeometry_40113noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2613, "image": "images/SyntheticGeometry/syntheticgeometry_04481.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2614, "image": "images/SyntheticGeometry/syntheticgeometry_38924noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2615, "image": "images/SyntheticGeometry/syntheticgeometry_41898noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2616, "image": "images/SyntheticGeometry/syntheticgeometry_48820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2617, "image": "images/SyntheticGeometry/syntheticgeometry_11033.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2618, "image": "images/SyntheticGeometry/syntheticgeometry_32251noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2619, "image": "images/SyntheticGeometry/syntheticgeometry_14394.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2620, "image": "images/SyntheticGeometry/syntheticgeometry_03063noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2621, "image": "images/SyntheticGeometry/syntheticgeometry_08685noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2622, "image": "images/SyntheticGeometry/syntheticgeometry_25710.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2623, "image": "images/SyntheticGeometry/syntheticgeometry_21200.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2624, "image": "images/SyntheticGeometry/syntheticgeometry_13593noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2625, "image": "images/SyntheticGeometry/syntheticgeometry_05759.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2626, "image": "images/SyntheticGeometry/syntheticgeometry_08507noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2627, "image": "images/SyntheticGeometry/syntheticgeometry_22747.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2628, "image": "images/SyntheticGeometry/syntheticgeometry_36819noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2629, "image": "images/SyntheticGeometry/syntheticgeometry_36611.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2630, "image": "images/SyntheticGeometry/syntheticgeometry_40597.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2631, "image": "images/SyntheticGeometry/syntheticgeometry_46056.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2632, "image": "images/SyntheticGeometry/syntheticgeometry_33429noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2633, "image": "images/SyntheticGeometry/syntheticgeometry_48550.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2634, "image": "images/SyntheticGeometry/syntheticgeometry_31631.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2635, "image": "images/SyntheticGeometry/syntheticgeometry_18435.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2636, "image": "images/SyntheticGeometry/syntheticgeometry_42557noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2637, "image": "images/SyntheticGeometry/syntheticgeometry_13200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2638, "image": "images/SyntheticGeometry/syntheticgeometry_37811noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2639, "image": "images/SyntheticGeometry/syntheticgeometry_36750noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2640, "image": "images/SyntheticGeometry/syntheticgeometry_18130.png", "conversations": [{"from": "human", "value": "\nThere is no triangle NPK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2641, "image": "images/SyntheticGeometry/syntheticgeometry_28321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2642, "image": "images/SyntheticGeometry/syntheticgeometry_34358noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2643, "image": "images/SyntheticGeometry/syntheticgeometry_07226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2644, "image": "images/SyntheticGeometry/syntheticgeometry_14157.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2645, "image": "images/SyntheticGeometry/syntheticgeometry_22609noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2646, "image": "images/SyntheticGeometry/syntheticgeometry_08524.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2647, "image": "images/SyntheticGeometry/syntheticgeometry_35666noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2648, "image": "images/SyntheticGeometry/syntheticgeometry_25511.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2649, "image": "images/SyntheticGeometry/syntheticgeometry_21288noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2650, "image": "images/SyntheticGeometry/syntheticgeometry_40836noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2651, "image": "images/SyntheticGeometry/syntheticgeometry_23627.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2652, "image": "images/SyntheticGeometry/syntheticgeometry_07415.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2653, "image": "images/SyntheticGeometry/syntheticgeometry_09984noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2654, "image": "images/SyntheticGeometry/syntheticgeometry_47229noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2655, "image": "images/SyntheticGeometry/syntheticgeometry_19256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2656, "image": "images/SyntheticGeometry/syntheticgeometry_29703noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2657, "image": "images/SyntheticGeometry/syntheticgeometry_10249noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2658, "image": "images/SyntheticGeometry/syntheticgeometry_09895noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2659, "image": "images/SyntheticGeometry/syntheticgeometry_29762noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2660, "image": "images/SyntheticGeometry/syntheticgeometry_47773noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2661, "image": "images/SyntheticGeometry/syntheticgeometry_33017noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2662, "image": "images/SyntheticGeometry/syntheticgeometry_41881.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2663, "image": "images/SyntheticGeometry/syntheticgeometry_28875noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2664, "image": "images/SyntheticGeometry/syntheticgeometry_26843.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2665, "image": "images/SyntheticGeometry/syntheticgeometry_27593noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2666, "image": "images/SyntheticGeometry/syntheticgeometry_19133noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2667, "image": "images/SyntheticGeometry/syntheticgeometry_25721noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2668, "image": "images/SyntheticGeometry/syntheticgeometry_43531noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2669, "image": "images/SyntheticGeometry/syntheticgeometry_44183.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2670, "image": "images/SyntheticGeometry/syntheticgeometry_09215noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2671, "image": "images/SyntheticGeometry/syntheticgeometry_16073.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2672, "image": "images/SyntheticGeometry/syntheticgeometry_38435noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2673, "image": "images/SyntheticGeometry/syntheticgeometry_24494.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2674, "image": "images/SyntheticGeometry/syntheticgeometry_31447.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2675, "image": "images/SyntheticGeometry/syntheticgeometry_28149noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2676, "image": "images/SyntheticGeometry/syntheticgeometry_16707noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2677, "image": "images/SyntheticGeometry/syntheticgeometry_35505noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2678, "image": "images/SyntheticGeometry/syntheticgeometry_36303noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2679, "image": "images/SyntheticGeometry/syntheticgeometry_13504noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2680, "image": "images/SyntheticGeometry/syntheticgeometry_24330noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2681, "image": "images/SyntheticGeometry/syntheticgeometry_48380noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2682, "image": "images/SyntheticGeometry/syntheticgeometry_22615noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2683, "image": "images/SyntheticGeometry/syntheticgeometry_30779.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2684, "image": "images/SyntheticGeometry/syntheticgeometry_13771noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2685, "image": "images/SyntheticGeometry/syntheticgeometry_09825noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2686, "image": "images/SyntheticGeometry/syntheticgeometry_35090noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2687, "image": "images/SyntheticGeometry/syntheticgeometry_33777noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2688, "image": "images/SyntheticGeometry/syntheticgeometry_12435noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2689, "image": "images/SyntheticGeometry/syntheticgeometry_47177noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2690, "image": "images/SyntheticGeometry/syntheticgeometry_22690.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2691, "image": "images/SyntheticGeometry/syntheticgeometry_19429noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2692, "image": "images/SyntheticGeometry/syntheticgeometry_33296noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2693, "image": "images/SyntheticGeometry/syntheticgeometry_18859noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2694, "image": "images/SyntheticGeometry/syntheticgeometry_47117noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2695, "image": "images/SyntheticGeometry/syntheticgeometry_35196noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2696, "image": "images/SyntheticGeometry/syntheticgeometry_14379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2697, "image": "images/SyntheticGeometry/syntheticgeometry_46178noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2698, "image": "images/SyntheticGeometry/syntheticgeometry_09336noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2699, "image": "images/SyntheticGeometry/syntheticgeometry_30713.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2700, "image": "images/SyntheticGeometry/syntheticgeometry_41754.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2701, "image": "images/SyntheticGeometry/syntheticgeometry_11445.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2702, "image": "images/SyntheticGeometry/syntheticgeometry_43543.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2703, "image": "images/SyntheticGeometry/syntheticgeometry_28566noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2704, "image": "images/SyntheticGeometry/syntheticgeometry_23956noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2705, "image": "images/SyntheticGeometry/syntheticgeometry_44260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2706, "image": "images/SyntheticGeometry/syntheticgeometry_09821noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2707, "image": "images/SyntheticGeometry/syntheticgeometry_12179.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2708, "image": "images/SyntheticGeometry/syntheticgeometry_27875.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2709, "image": "images/SyntheticGeometry/syntheticgeometry_47577noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KMN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2710, "image": "images/SyntheticGeometry/syntheticgeometry_13848noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2711, "image": "images/SyntheticGeometry/syntheticgeometry_10592.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2712, "image": "images/SyntheticGeometry/syntheticgeometry_08844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2713, "image": "images/SyntheticGeometry/syntheticgeometry_47472noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2714, "image": "images/SyntheticGeometry/syntheticgeometry_41170noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2715, "image": "images/SyntheticGeometry/syntheticgeometry_30293noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2716, "image": "images/SyntheticGeometry/syntheticgeometry_20452noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2717, "image": "images/SyntheticGeometry/syntheticgeometry_29927.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2718, "image": "images/SyntheticGeometry/syntheticgeometry_48473noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2719, "image": "images/SyntheticGeometry/syntheticgeometry_46578.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2720, "image": "images/SyntheticGeometry/syntheticgeometry_21917.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2721, "image": "images/SyntheticGeometry/syntheticgeometry_45679noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2722, "image": "images/SyntheticGeometry/syntheticgeometry_35418.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2723, "image": "images/SyntheticGeometry/syntheticgeometry_23286.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2724, "image": "images/SyntheticGeometry/syntheticgeometry_35649.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2725, "image": "images/SyntheticGeometry/syntheticgeometry_41519.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2726, "image": "images/SyntheticGeometry/syntheticgeometry_33132.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2727, "image": "images/SyntheticGeometry/syntheticgeometry_14046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2728, "image": "images/SyntheticGeometry/syntheticgeometry_07277.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2729, "image": "images/SyntheticGeometry/syntheticgeometry_33081noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2730, "image": "images/SyntheticGeometry/syntheticgeometry_21864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2731, "image": "images/SyntheticGeometry/syntheticgeometry_19509.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2732, "image": "images/SyntheticGeometry/syntheticgeometry_38256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2733, "image": "images/SyntheticGeometry/syntheticgeometry_35935noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2734, "image": "images/SyntheticGeometry/syntheticgeometry_13416noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2735, "image": "images/SyntheticGeometry/syntheticgeometry_10124.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2736, "image": "images/SyntheticGeometry/syntheticgeometry_07506noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2737, "image": "images/SyntheticGeometry/syntheticgeometry_05004noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2738, "image": "images/SyntheticGeometry/syntheticgeometry_10814noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2739, "image": "images/SyntheticGeometry/syntheticgeometry_12219noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2740, "image": "images/SyntheticGeometry/syntheticgeometry_32691noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2741, "image": "images/SyntheticGeometry/syntheticgeometry_06264noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2742, "image": "images/SyntheticGeometry/syntheticgeometry_33882noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2743, "image": "images/SyntheticGeometry/syntheticgeometry_02080noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2744, "image": "images/SyntheticGeometry/syntheticgeometry_09310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2745, "image": "images/SyntheticGeometry/syntheticgeometry_43368noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2746, "image": "images/SyntheticGeometry/syntheticgeometry_42178.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2747, "image": "images/SyntheticGeometry/syntheticgeometry_48057.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2748, "image": "images/SyntheticGeometry/syntheticgeometry_05460noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2749, "image": "images/SyntheticGeometry/syntheticgeometry_48878.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2750, "image": "images/SyntheticGeometry/syntheticgeometry_07416.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2751, "image": "images/SyntheticGeometry/syntheticgeometry_28358noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2752, "image": "images/SyntheticGeometry/syntheticgeometry_48791.png", "conversations": [{"from": "human", "value": "\nThere is no triangle INB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2753, "image": "images/SyntheticGeometry/syntheticgeometry_40671.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2754, "image": "images/SyntheticGeometry/syntheticgeometry_10098.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2755, "image": "images/SyntheticGeometry/syntheticgeometry_15941noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2756, "image": "images/SyntheticGeometry/syntheticgeometry_03581.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2757, "image": "images/SyntheticGeometry/syntheticgeometry_45085.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2758, "image": "images/SyntheticGeometry/syntheticgeometry_44469noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2759, "image": "images/SyntheticGeometry/syntheticgeometry_46086.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2760, "image": "images/SyntheticGeometry/syntheticgeometry_35498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2761, "image": "images/SyntheticGeometry/syntheticgeometry_34010.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2762, "image": "images/SyntheticGeometry/syntheticgeometry_16930noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2763, "image": "images/SyntheticGeometry/syntheticgeometry_16130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2764, "image": "images/SyntheticGeometry/syntheticgeometry_48896noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2765, "image": "images/SyntheticGeometry/syntheticgeometry_14459noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2766, "image": "images/SyntheticGeometry/syntheticgeometry_14440noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2767, "image": "images/SyntheticGeometry/syntheticgeometry_35172noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2768, "image": "images/SyntheticGeometry/syntheticgeometry_13937noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2769, "image": "images/SyntheticGeometry/syntheticgeometry_45971.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2770, "image": "images/SyntheticGeometry/syntheticgeometry_10511noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2771, "image": "images/SyntheticGeometry/syntheticgeometry_28327noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2772, "image": "images/SyntheticGeometry/syntheticgeometry_23387noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2773, "image": "images/SyntheticGeometry/syntheticgeometry_37804noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2774, "image": "images/SyntheticGeometry/syntheticgeometry_34501noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2775, "image": "images/SyntheticGeometry/syntheticgeometry_39590noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2776, "image": "images/SyntheticGeometry/syntheticgeometry_24355noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2777, "image": "images/SyntheticGeometry/syntheticgeometry_06494noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2778, "image": "images/SyntheticGeometry/syntheticgeometry_29786noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2779, "image": "images/SyntheticGeometry/syntheticgeometry_23369noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2780, "image": "images/SyntheticGeometry/syntheticgeometry_27187noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2781, "image": "images/SyntheticGeometry/syntheticgeometry_07794noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle INB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2782, "image": "images/SyntheticGeometry/syntheticgeometry_22478.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2783, "image": "images/SyntheticGeometry/syntheticgeometry_15703.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2784, "image": "images/SyntheticGeometry/syntheticgeometry_26610noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2785, "image": "images/SyntheticGeometry/syntheticgeometry_32834noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2786, "image": "images/SyntheticGeometry/syntheticgeometry_15705noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2787, "image": "images/SyntheticGeometry/syntheticgeometry_41275noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2788, "image": "images/SyntheticGeometry/syntheticgeometry_41616noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2789, "image": "images/SyntheticGeometry/syntheticgeometry_11188noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2790, "image": "images/SyntheticGeometry/syntheticgeometry_18897noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2791, "image": "images/SyntheticGeometry/syntheticgeometry_02833.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2792, "image": "images/SyntheticGeometry/syntheticgeometry_10003noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2793, "image": "images/SyntheticGeometry/syntheticgeometry_41078.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2794, "image": "images/SyntheticGeometry/syntheticgeometry_20121noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2795, "image": "images/SyntheticGeometry/syntheticgeometry_18474noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2796, "image": "images/SyntheticGeometry/syntheticgeometry_34356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2797, "image": "images/SyntheticGeometry/syntheticgeometry_21446.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2798, "image": "images/SyntheticGeometry/syntheticgeometry_34704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2799, "image": "images/SyntheticGeometry/syntheticgeometry_07147noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2800, "image": "images/SyntheticGeometry/syntheticgeometry_23795.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2801, "image": "images/SyntheticGeometry/syntheticgeometry_36308noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2802, "image": "images/SyntheticGeometry/syntheticgeometry_47333.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2803, "image": "images/SyntheticGeometry/syntheticgeometry_16275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2804, "image": "images/SyntheticGeometry/syntheticgeometry_46609.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2805, "image": "images/SyntheticGeometry/syntheticgeometry_09095.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2806, "image": "images/SyntheticGeometry/syntheticgeometry_03070.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2807, "image": "images/SyntheticGeometry/syntheticgeometry_06793.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2808, "image": "images/SyntheticGeometry/syntheticgeometry_42422noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2809, "image": "images/SyntheticGeometry/syntheticgeometry_47282noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2810, "image": "images/SyntheticGeometry/syntheticgeometry_20445noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2811, "image": "images/SyntheticGeometry/syntheticgeometry_03718noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2812, "image": "images/SyntheticGeometry/syntheticgeometry_28235noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2813, "image": "images/SyntheticGeometry/syntheticgeometry_26651noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2814, "image": "images/SyntheticGeometry/syntheticgeometry_42082noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2815, "image": "images/SyntheticGeometry/syntheticgeometry_42132.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2816, "image": "images/SyntheticGeometry/syntheticgeometry_25388noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2817, "image": "images/SyntheticGeometry/syntheticgeometry_33152noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2818, "image": "images/SyntheticGeometry/syntheticgeometry_24123noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2819, "image": "images/SyntheticGeometry/syntheticgeometry_06284noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2820, "image": "images/SyntheticGeometry/syntheticgeometry_40684noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2821, "image": "images/SyntheticGeometry/syntheticgeometry_26416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2822, "image": "images/SyntheticGeometry/syntheticgeometry_18381noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2823, "image": "images/SyntheticGeometry/syntheticgeometry_47406noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2824, "image": "images/SyntheticGeometry/syntheticgeometry_44955noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2825, "image": "images/SyntheticGeometry/syntheticgeometry_40262.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2826, "image": "images/SyntheticGeometry/syntheticgeometry_18308noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2827, "image": "images/SyntheticGeometry/syntheticgeometry_04826.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2828, "image": "images/SyntheticGeometry/syntheticgeometry_47154.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2829, "image": "images/SyntheticGeometry/syntheticgeometry_39583.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2830, "image": "images/SyntheticGeometry/syntheticgeometry_15334noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2831, "image": "images/SyntheticGeometry/syntheticgeometry_35895noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2832, "image": "images/SyntheticGeometry/syntheticgeometry_33368.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2833, "image": "images/SyntheticGeometry/syntheticgeometry_09536noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2834, "image": "images/SyntheticGeometry/syntheticgeometry_44574noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2835, "image": "images/SyntheticGeometry/syntheticgeometry_24293.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2836, "image": "images/SyntheticGeometry/syntheticgeometry_40658.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2837, "image": "images/SyntheticGeometry/syntheticgeometry_31661.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2838, "image": "images/SyntheticGeometry/syntheticgeometry_45529noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2839, "image": "images/SyntheticGeometry/syntheticgeometry_15743noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2840, "image": "images/SyntheticGeometry/syntheticgeometry_08225noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2841, "image": "images/SyntheticGeometry/syntheticgeometry_19148noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2842, "image": "images/SyntheticGeometry/syntheticgeometry_06136.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2843, "image": "images/SyntheticGeometry/syntheticgeometry_19589.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2844, "image": "images/SyntheticGeometry/syntheticgeometry_06703noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2845, "image": "images/SyntheticGeometry/syntheticgeometry_31876.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2846, "image": "images/SyntheticGeometry/syntheticgeometry_43356noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2847, "image": "images/SyntheticGeometry/syntheticgeometry_29713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2848, "image": "images/SyntheticGeometry/syntheticgeometry_16517noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2849, "image": "images/SyntheticGeometry/syntheticgeometry_41642.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2850, "image": "images/SyntheticGeometry/syntheticgeometry_09580noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2851, "image": "images/SyntheticGeometry/syntheticgeometry_22827noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2852, "image": "images/SyntheticGeometry/syntheticgeometry_45473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2853, "image": "images/SyntheticGeometry/syntheticgeometry_26702noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2854, "image": "images/SyntheticGeometry/syntheticgeometry_47850.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2855, "image": "images/SyntheticGeometry/syntheticgeometry_12372.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HKM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2856, "image": "images/SyntheticGeometry/syntheticgeometry_48594noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2857, "image": "images/SyntheticGeometry/syntheticgeometry_44346.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2858, "image": "images/SyntheticGeometry/syntheticgeometry_49821noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2859, "image": "images/SyntheticGeometry/syntheticgeometry_25103.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2860, "image": "images/SyntheticGeometry/syntheticgeometry_10805noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2861, "image": "images/SyntheticGeometry/syntheticgeometry_38729.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2862, "image": "images/SyntheticGeometry/syntheticgeometry_10944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2863, "image": "images/SyntheticGeometry/syntheticgeometry_06153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2864, "image": "images/SyntheticGeometry/syntheticgeometry_36094noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2865, "image": "images/SyntheticGeometry/syntheticgeometry_09635noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2866, "image": "images/SyntheticGeometry/syntheticgeometry_15319noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2867, "image": "images/SyntheticGeometry/syntheticgeometry_21062noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2868, "image": "images/SyntheticGeometry/syntheticgeometry_41243noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2869, "image": "images/SyntheticGeometry/syntheticgeometry_11116noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2870, "image": "images/SyntheticGeometry/syntheticgeometry_19516.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2871, "image": "images/SyntheticGeometry/syntheticgeometry_48055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2872, "image": "images/SyntheticGeometry/syntheticgeometry_21606noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2873, "image": "images/SyntheticGeometry/syntheticgeometry_20220.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2874, "image": "images/SyntheticGeometry/syntheticgeometry_07520noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2875, "image": "images/SyntheticGeometry/syntheticgeometry_38156noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2876, "image": "images/SyntheticGeometry/syntheticgeometry_02960.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2877, "image": "images/SyntheticGeometry/syntheticgeometry_33457.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2878, "image": "images/SyntheticGeometry/syntheticgeometry_45047noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2879, "image": "images/SyntheticGeometry/syntheticgeometry_19233.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2880, "image": "images/SyntheticGeometry/syntheticgeometry_47064noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2881, "image": "images/SyntheticGeometry/syntheticgeometry_35890noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2882, "image": "images/SyntheticGeometry/syntheticgeometry_13349noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2883, "image": "images/SyntheticGeometry/syntheticgeometry_45148noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2884, "image": "images/SyntheticGeometry/syntheticgeometry_44835noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2885, "image": "images/SyntheticGeometry/syntheticgeometry_30218noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2886, "image": "images/SyntheticGeometry/syntheticgeometry_41549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2887, "image": "images/SyntheticGeometry/syntheticgeometry_30894.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2888, "image": "images/SyntheticGeometry/syntheticgeometry_27391noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2889, "image": "images/SyntheticGeometry/syntheticgeometry_09552noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2890, "image": "images/SyntheticGeometry/syntheticgeometry_17784noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2891, "image": "images/SyntheticGeometry/syntheticgeometry_26468.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2892, "image": "images/SyntheticGeometry/syntheticgeometry_13988noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2893, "image": "images/SyntheticGeometry/syntheticgeometry_06957.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2894, "image": "images/SyntheticGeometry/syntheticgeometry_13600.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2895, "image": "images/SyntheticGeometry/syntheticgeometry_12447noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2896, "image": "images/SyntheticGeometry/syntheticgeometry_43131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2897, "image": "images/SyntheticGeometry/syntheticgeometry_19563.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2898, "image": "images/SyntheticGeometry/syntheticgeometry_26461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2899, "image": "images/SyntheticGeometry/syntheticgeometry_35774noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2900, "image": "images/SyntheticGeometry/syntheticgeometry_11179noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2901, "image": "images/SyntheticGeometry/syntheticgeometry_02766.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2902, "image": "images/SyntheticGeometry/syntheticgeometry_10301noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2903, "image": "images/SyntheticGeometry/syntheticgeometry_33268noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2904, "image": "images/SyntheticGeometry/syntheticgeometry_21098noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2905, "image": "images/SyntheticGeometry/syntheticgeometry_11981.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2906, "image": "images/SyntheticGeometry/syntheticgeometry_45405.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2907, "image": "images/SyntheticGeometry/syntheticgeometry_40685noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2908, "image": "images/SyntheticGeometry/syntheticgeometry_45710noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2909, "image": "images/SyntheticGeometry/syntheticgeometry_43908.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2910, "image": "images/SyntheticGeometry/syntheticgeometry_44100.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2911, "image": "images/SyntheticGeometry/syntheticgeometry_31446noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2912, "image": "images/SyntheticGeometry/syntheticgeometry_44353.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2913, "image": "images/SyntheticGeometry/syntheticgeometry_36621.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2914, "image": "images/SyntheticGeometry/syntheticgeometry_08429.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2915, "image": "images/SyntheticGeometry/syntheticgeometry_31029noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2916, "image": "images/SyntheticGeometry/syntheticgeometry_11129.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2917, "image": "images/SyntheticGeometry/syntheticgeometry_23567noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2918, "image": "images/SyntheticGeometry/syntheticgeometry_44381.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2919, "image": "images/SyntheticGeometry/syntheticgeometry_39176.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2920, "image": "images/SyntheticGeometry/syntheticgeometry_25428.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2921, "image": "images/SyntheticGeometry/syntheticgeometry_25527.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2922, "image": "images/SyntheticGeometry/syntheticgeometry_05784noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2923, "image": "images/SyntheticGeometry/syntheticgeometry_34787noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2924, "image": "images/SyntheticGeometry/syntheticgeometry_26901noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2925, "image": "images/SyntheticGeometry/syntheticgeometry_06013.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2926, "image": "images/SyntheticGeometry/syntheticgeometry_37148noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2927, "image": "images/SyntheticGeometry/syntheticgeometry_04949noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2928, "image": "images/SyntheticGeometry/syntheticgeometry_48370noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2929, "image": "images/SyntheticGeometry/syntheticgeometry_12261noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2930, "image": "images/SyntheticGeometry/syntheticgeometry_34535.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2931, "image": "images/SyntheticGeometry/syntheticgeometry_31258.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2932, "image": "images/SyntheticGeometry/syntheticgeometry_41686noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2933, "image": "images/SyntheticGeometry/syntheticgeometry_15234.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2934, "image": "images/SyntheticGeometry/syntheticgeometry_38861noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2935, "image": "images/SyntheticGeometry/syntheticgeometry_13529.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2936, "image": "images/SyntheticGeometry/syntheticgeometry_04975noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2937, "image": "images/SyntheticGeometry/syntheticgeometry_03411noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2938, "image": "images/SyntheticGeometry/syntheticgeometry_31615.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2939, "image": "images/SyntheticGeometry/syntheticgeometry_33986.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2940, "image": "images/SyntheticGeometry/syntheticgeometry_10597noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2941, "image": "images/SyntheticGeometry/syntheticgeometry_30949.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2942, "image": "images/SyntheticGeometry/syntheticgeometry_22547noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2943, "image": "images/SyntheticGeometry/syntheticgeometry_18580noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2944, "image": "images/SyntheticGeometry/syntheticgeometry_30931noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2945, "image": "images/SyntheticGeometry/syntheticgeometry_23015noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2946, "image": "images/SyntheticGeometry/syntheticgeometry_29436.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2947, "image": "images/SyntheticGeometry/syntheticgeometry_12092noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2948, "image": "images/SyntheticGeometry/syntheticgeometry_29898noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2949, "image": "images/SyntheticGeometry/syntheticgeometry_17643noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2950, "image": "images/SyntheticGeometry/syntheticgeometry_03818noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2951, "image": "images/SyntheticGeometry/syntheticgeometry_34371noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2952, "image": "images/SyntheticGeometry/syntheticgeometry_26862noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2953, "image": "images/SyntheticGeometry/syntheticgeometry_31825noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2954, "image": "images/SyntheticGeometry/syntheticgeometry_31590.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2955, "image": "images/SyntheticGeometry/syntheticgeometry_46968noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2956, "image": "images/SyntheticGeometry/syntheticgeometry_02352.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2957, "image": "images/SyntheticGeometry/syntheticgeometry_11303noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2958, "image": "images/SyntheticGeometry/syntheticgeometry_30043.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2959, "image": "images/SyntheticGeometry/syntheticgeometry_26022noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2960, "image": "images/SyntheticGeometry/syntheticgeometry_20887noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2961, "image": "images/SyntheticGeometry/syntheticgeometry_10257.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2962, "image": "images/SyntheticGeometry/syntheticgeometry_21053.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2963, "image": "images/SyntheticGeometry/syntheticgeometry_12451noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2964, "image": "images/SyntheticGeometry/syntheticgeometry_30689.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2965, "image": "images/SyntheticGeometry/syntheticgeometry_03687noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2966, "image": "images/SyntheticGeometry/syntheticgeometry_48912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2967, "image": "images/SyntheticGeometry/syntheticgeometry_07302noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2968, "image": "images/SyntheticGeometry/syntheticgeometry_27607.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2969, "image": "images/SyntheticGeometry/syntheticgeometry_27610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2970, "image": "images/SyntheticGeometry/syntheticgeometry_34963noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2971, "image": "images/SyntheticGeometry/syntheticgeometry_23696noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2972, "image": "images/SyntheticGeometry/syntheticgeometry_02815noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2973, "image": "images/SyntheticGeometry/syntheticgeometry_49031noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2974, "image": "images/SyntheticGeometry/syntheticgeometry_40933noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2975, "image": "images/SyntheticGeometry/syntheticgeometry_15001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2976, "image": "images/SyntheticGeometry/syntheticgeometry_43526.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2977, "image": "images/SyntheticGeometry/syntheticgeometry_09435noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2978, "image": "images/SyntheticGeometry/syntheticgeometry_15817.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2979, "image": "images/SyntheticGeometry/syntheticgeometry_32174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2980, "image": "images/SyntheticGeometry/syntheticgeometry_33407noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2981, "image": "images/SyntheticGeometry/syntheticgeometry_46001.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2982, "image": "images/SyntheticGeometry/syntheticgeometry_27976noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HMD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2983, "image": "images/SyntheticGeometry/syntheticgeometry_43960noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2984, "image": "images/SyntheticGeometry/syntheticgeometry_38957noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2985, "image": "images/SyntheticGeometry/syntheticgeometry_45809.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2986, "image": "images/SyntheticGeometry/syntheticgeometry_39635noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2987, "image": "images/SyntheticGeometry/syntheticgeometry_29061.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2988, "image": "images/SyntheticGeometry/syntheticgeometry_11655.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2989, "image": "images/SyntheticGeometry/syntheticgeometry_39412noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2990, "image": "images/SyntheticGeometry/syntheticgeometry_02748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2991, "image": "images/SyntheticGeometry/syntheticgeometry_42207noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2992, "image": "images/SyntheticGeometry/syntheticgeometry_37318noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2993, "image": "images/SyntheticGeometry/syntheticgeometry_11628noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2994, "image": "images/SyntheticGeometry/syntheticgeometry_39558noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2995, "image": "images/SyntheticGeometry/syntheticgeometry_36002noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2996, "image": "images/SyntheticGeometry/syntheticgeometry_02222noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2997, "image": "images/SyntheticGeometry/syntheticgeometry_36792noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2998, "image": "images/SyntheticGeometry/syntheticgeometry_49989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 2999, "image": "images/SyntheticGeometry/syntheticgeometry_03852noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3000, "image": "images/SyntheticGeometry/syntheticgeometry_03412.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3001, "image": "images/SyntheticGeometry/syntheticgeometry_39403.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3002, "image": "images/SyntheticGeometry/syntheticgeometry_24230.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3003, "image": "images/SyntheticGeometry/syntheticgeometry_35426.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3004, "image": "images/SyntheticGeometry/syntheticgeometry_29988.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3005, "image": "images/SyntheticGeometry/syntheticgeometry_27831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3006, "image": "images/SyntheticGeometry/syntheticgeometry_10659noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3007, "image": "images/SyntheticGeometry/syntheticgeometry_02561.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3008, "image": "images/SyntheticGeometry/syntheticgeometry_11766noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3009, "image": "images/SyntheticGeometry/syntheticgeometry_26750.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3010, "image": "images/SyntheticGeometry/syntheticgeometry_03193.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3011, "image": "images/SyntheticGeometry/syntheticgeometry_16264noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KNL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3012, "image": "images/SyntheticGeometry/syntheticgeometry_45780noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3013, "image": "images/SyntheticGeometry/syntheticgeometry_29313noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3014, "image": "images/SyntheticGeometry/syntheticgeometry_07878noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3015, "image": "images/SyntheticGeometry/syntheticgeometry_19840noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3016, "image": "images/SyntheticGeometry/syntheticgeometry_36071noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3017, "image": "images/SyntheticGeometry/syntheticgeometry_43887noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3018, "image": "images/SyntheticGeometry/syntheticgeometry_35416noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3019, "image": "images/SyntheticGeometry/syntheticgeometry_16571.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3020, "image": "images/SyntheticGeometry/syntheticgeometry_09444.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3021, "image": "images/SyntheticGeometry/syntheticgeometry_38738noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3022, "image": "images/SyntheticGeometry/syntheticgeometry_21558noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3023, "image": "images/SyntheticGeometry/syntheticgeometry_20841noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3024, "image": "images/SyntheticGeometry/syntheticgeometry_33723.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3025, "image": "images/SyntheticGeometry/syntheticgeometry_46511.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3026, "image": "images/SyntheticGeometry/syntheticgeometry_33028noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3027, "image": "images/SyntheticGeometry/syntheticgeometry_09322.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3028, "image": "images/SyntheticGeometry/syntheticgeometry_13267noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3029, "image": "images/SyntheticGeometry/syntheticgeometry_03117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3030, "image": "images/SyntheticGeometry/syntheticgeometry_22634.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3031, "image": "images/SyntheticGeometry/syntheticgeometry_37447noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3032, "image": "images/SyntheticGeometry/syntheticgeometry_07828noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3033, "image": "images/SyntheticGeometry/syntheticgeometry_42816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3034, "image": "images/SyntheticGeometry/syntheticgeometry_33469.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GDR in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3035, "image": "images/SyntheticGeometry/syntheticgeometry_30732.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3036, "image": "images/SyntheticGeometry/syntheticgeometry_25210noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3037, "image": "images/SyntheticGeometry/syntheticgeometry_40627noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3038, "image": "images/SyntheticGeometry/syntheticgeometry_28009.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3039, "image": "images/SyntheticGeometry/syntheticgeometry_19135.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3040, "image": "images/SyntheticGeometry/syntheticgeometry_46432.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3041, "image": "images/SyntheticGeometry/syntheticgeometry_08461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3042, "image": "images/SyntheticGeometry/syntheticgeometry_23868noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3043, "image": "images/SyntheticGeometry/syntheticgeometry_33056.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3044, "image": "images/SyntheticGeometry/syntheticgeometry_13077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EOD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3045, "image": "images/SyntheticGeometry/syntheticgeometry_17618noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3046, "image": "images/SyntheticGeometry/syntheticgeometry_13892noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3047, "image": "images/SyntheticGeometry/syntheticgeometry_22309noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3048, "image": "images/SyntheticGeometry/syntheticgeometry_46893noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3049, "image": "images/SyntheticGeometry/syntheticgeometry_05730noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3050, "image": "images/SyntheticGeometry/syntheticgeometry_17013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3051, "image": "images/SyntheticGeometry/syntheticgeometry_05026noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3052, "image": "images/SyntheticGeometry/syntheticgeometry_04636noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BDG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3053, "image": "images/SyntheticGeometry/syntheticgeometry_32454.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3054, "image": "images/SyntheticGeometry/syntheticgeometry_06391.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3055, "image": "images/SyntheticGeometry/syntheticgeometry_16713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3056, "image": "images/SyntheticGeometry/syntheticgeometry_19810noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3057, "image": "images/SyntheticGeometry/syntheticgeometry_20729noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3058, "image": "images/SyntheticGeometry/syntheticgeometry_45165.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3059, "image": "images/SyntheticGeometry/syntheticgeometry_38072.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3060, "image": "images/SyntheticGeometry/syntheticgeometry_19687.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3061, "image": "images/SyntheticGeometry/syntheticgeometry_22864.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3062, "image": "images/SyntheticGeometry/syntheticgeometry_07596noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3063, "image": "images/SyntheticGeometry/syntheticgeometry_32513.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3064, "image": "images/SyntheticGeometry/syntheticgeometry_19512noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3065, "image": "images/SyntheticGeometry/syntheticgeometry_11353noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3066, "image": "images/SyntheticGeometry/syntheticgeometry_32599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JQK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3067, "image": "images/SyntheticGeometry/syntheticgeometry_37280.png", "conversations": [{"from": "human", "value": "\nThere is no triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3068, "image": "images/SyntheticGeometry/syntheticgeometry_28958noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3069, "image": "images/SyntheticGeometry/syntheticgeometry_42150noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3070, "image": "images/SyntheticGeometry/syntheticgeometry_24747noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3071, "image": "images/SyntheticGeometry/syntheticgeometry_26323noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3072, "image": "images/SyntheticGeometry/syntheticgeometry_03388.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3073, "image": "images/SyntheticGeometry/syntheticgeometry_14848noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CJN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3074, "image": "images/SyntheticGeometry/syntheticgeometry_16917.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3075, "image": "images/SyntheticGeometry/syntheticgeometry_10909noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3076, "image": "images/SyntheticGeometry/syntheticgeometry_33971noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3077, "image": "images/SyntheticGeometry/syntheticgeometry_43646noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3078, "image": "images/SyntheticGeometry/syntheticgeometry_31747noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3079, "image": "images/SyntheticGeometry/syntheticgeometry_05815noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3080, "image": "images/SyntheticGeometry/syntheticgeometry_41782noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3081, "image": "images/SyntheticGeometry/syntheticgeometry_49795noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3082, "image": "images/SyntheticGeometry/syntheticgeometry_31567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3083, "image": "images/SyntheticGeometry/syntheticgeometry_49786noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3084, "image": "images/SyntheticGeometry/syntheticgeometry_43757noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3085, "image": "images/SyntheticGeometry/syntheticgeometry_40630noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3086, "image": "images/SyntheticGeometry/syntheticgeometry_34806noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3087, "image": "images/SyntheticGeometry/syntheticgeometry_16248noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3088, "image": "images/SyntheticGeometry/syntheticgeometry_21736noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3089, "image": "images/SyntheticGeometry/syntheticgeometry_48871.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3090, "image": "images/SyntheticGeometry/syntheticgeometry_34220.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3091, "image": "images/SyntheticGeometry/syntheticgeometry_11962noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3092, "image": "images/SyntheticGeometry/syntheticgeometry_17869.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3093, "image": "images/SyntheticGeometry/syntheticgeometry_29213.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3094, "image": "images/SyntheticGeometry/syntheticgeometry_29665.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3095, "image": "images/SyntheticGeometry/syntheticgeometry_21379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3096, "image": "images/SyntheticGeometry/syntheticgeometry_27812.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3097, "image": "images/SyntheticGeometry/syntheticgeometry_39973noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3098, "image": "images/SyntheticGeometry/syntheticgeometry_11890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3099, "image": "images/SyntheticGeometry/syntheticgeometry_32361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3100, "image": "images/SyntheticGeometry/syntheticgeometry_03037noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3101, "image": "images/SyntheticGeometry/syntheticgeometry_10877noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3102, "image": "images/SyntheticGeometry/syntheticgeometry_47007noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3103, "image": "images/SyntheticGeometry/syntheticgeometry_45645noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3104, "image": "images/SyntheticGeometry/syntheticgeometry_29766noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3105, "image": "images/SyntheticGeometry/syntheticgeometry_41846noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3106, "image": "images/SyntheticGeometry/syntheticgeometry_03730noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3107, "image": "images/SyntheticGeometry/syntheticgeometry_37122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3108, "image": "images/SyntheticGeometry/syntheticgeometry_44899noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3109, "image": "images/SyntheticGeometry/syntheticgeometry_27681noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3110, "image": "images/SyntheticGeometry/syntheticgeometry_41750noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3111, "image": "images/SyntheticGeometry/syntheticgeometry_05021.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3112, "image": "images/SyntheticGeometry/syntheticgeometry_19598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3113, "image": "images/SyntheticGeometry/syntheticgeometry_14456noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3114, "image": "images/SyntheticGeometry/syntheticgeometry_36339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3115, "image": "images/SyntheticGeometry/syntheticgeometry_49623noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3116, "image": "images/SyntheticGeometry/syntheticgeometry_36692noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3117, "image": "images/SyntheticGeometry/syntheticgeometry_15242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3118, "image": "images/SyntheticGeometry/syntheticgeometry_04065.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3119, "image": "images/SyntheticGeometry/syntheticgeometry_27228noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3120, "image": "images/SyntheticGeometry/syntheticgeometry_28318noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3121, "image": "images/SyntheticGeometry/syntheticgeometry_16786.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3122, "image": "images/SyntheticGeometry/syntheticgeometry_38873noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3123, "image": "images/SyntheticGeometry/syntheticgeometry_33452noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3124, "image": "images/SyntheticGeometry/syntheticgeometry_09820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3125, "image": "images/SyntheticGeometry/syntheticgeometry_36814noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3126, "image": "images/SyntheticGeometry/syntheticgeometry_34984.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3127, "image": "images/SyntheticGeometry/syntheticgeometry_04649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3128, "image": "images/SyntheticGeometry/syntheticgeometry_13336.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3129, "image": "images/SyntheticGeometry/syntheticgeometry_36352noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3130, "image": "images/SyntheticGeometry/syntheticgeometry_45333.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3131, "image": "images/SyntheticGeometry/syntheticgeometry_39473.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3132, "image": "images/SyntheticGeometry/syntheticgeometry_30011.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3133, "image": "images/SyntheticGeometry/syntheticgeometry_22618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3134, "image": "images/SyntheticGeometry/syntheticgeometry_07879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3135, "image": "images/SyntheticGeometry/syntheticgeometry_41085.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3136, "image": "images/SyntheticGeometry/syntheticgeometry_35108.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3137, "image": "images/SyntheticGeometry/syntheticgeometry_18638noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3138, "image": "images/SyntheticGeometry/syntheticgeometry_07937noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3139, "image": "images/SyntheticGeometry/syntheticgeometry_22495.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3140, "image": "images/SyntheticGeometry/syntheticgeometry_02970.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3141, "image": "images/SyntheticGeometry/syntheticgeometry_20432.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3142, "image": "images/SyntheticGeometry/syntheticgeometry_12881noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3143, "image": "images/SyntheticGeometry/syntheticgeometry_06629noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3144, "image": "images/SyntheticGeometry/syntheticgeometry_41158noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3145, "image": "images/SyntheticGeometry/syntheticgeometry_37657.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3146, "image": "images/SyntheticGeometry/syntheticgeometry_05967.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3147, "image": "images/SyntheticGeometry/syntheticgeometry_42458.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3148, "image": "images/SyntheticGeometry/syntheticgeometry_34959.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3149, "image": "images/SyntheticGeometry/syntheticgeometry_37877noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3150, "image": "images/SyntheticGeometry/syntheticgeometry_29113noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3151, "image": "images/SyntheticGeometry/syntheticgeometry_40224.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3152, "image": "images/SyntheticGeometry/syntheticgeometry_23731noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3153, "image": "images/SyntheticGeometry/syntheticgeometry_37205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3154, "image": "images/SyntheticGeometry/syntheticgeometry_39461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3155, "image": "images/SyntheticGeometry/syntheticgeometry_30958noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3156, "image": "images/SyntheticGeometry/syntheticgeometry_14791.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3157, "image": "images/SyntheticGeometry/syntheticgeometry_41619.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3158, "image": "images/SyntheticGeometry/syntheticgeometry_26644noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3159, "image": "images/SyntheticGeometry/syntheticgeometry_05113noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3160, "image": "images/SyntheticGeometry/syntheticgeometry_27116noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3161, "image": "images/SyntheticGeometry/syntheticgeometry_31321noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3162, "image": "images/SyntheticGeometry/syntheticgeometry_03866noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3163, "image": "images/SyntheticGeometry/syntheticgeometry_34644noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3164, "image": "images/SyntheticGeometry/syntheticgeometry_06651noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3165, "image": "images/SyntheticGeometry/syntheticgeometry_40139noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3166, "image": "images/SyntheticGeometry/syntheticgeometry_16696noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3167, "image": "images/SyntheticGeometry/syntheticgeometry_39678noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3168, "image": "images/SyntheticGeometry/syntheticgeometry_23216noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3169, "image": "images/SyntheticGeometry/syntheticgeometry_30507noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3170, "image": "images/SyntheticGeometry/syntheticgeometry_33040noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3171, "image": "images/SyntheticGeometry/syntheticgeometry_49384.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3172, "image": "images/SyntheticGeometry/syntheticgeometry_17265.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3173, "image": "images/SyntheticGeometry/syntheticgeometry_24242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3174, "image": "images/SyntheticGeometry/syntheticgeometry_18255noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3175, "image": "images/SyntheticGeometry/syntheticgeometry_15536.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3176, "image": "images/SyntheticGeometry/syntheticgeometry_18880.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3177, "image": "images/SyntheticGeometry/syntheticgeometry_22995noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3178, "image": "images/SyntheticGeometry/syntheticgeometry_31696.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3179, "image": "images/SyntheticGeometry/syntheticgeometry_34779noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3180, "image": "images/SyntheticGeometry/syntheticgeometry_14531.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3181, "image": "images/SyntheticGeometry/syntheticgeometry_13827noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3182, "image": "images/SyntheticGeometry/syntheticgeometry_15433noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3183, "image": "images/SyntheticGeometry/syntheticgeometry_44943noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3184, "image": "images/SyntheticGeometry/syntheticgeometry_48343noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3185, "image": "images/SyntheticGeometry/syntheticgeometry_08962.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3186, "image": "images/SyntheticGeometry/syntheticgeometry_02283noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3187, "image": "images/SyntheticGeometry/syntheticgeometry_37259noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3188, "image": "images/SyntheticGeometry/syntheticgeometry_43766.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3189, "image": "images/SyntheticGeometry/syntheticgeometry_03475noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3190, "image": "images/SyntheticGeometry/syntheticgeometry_28864.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3191, "image": "images/SyntheticGeometry/syntheticgeometry_14326.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3192, "image": "images/SyntheticGeometry/syntheticgeometry_33654noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3193, "image": "images/SyntheticGeometry/syntheticgeometry_49104.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3194, "image": "images/SyntheticGeometry/syntheticgeometry_26032noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3195, "image": "images/SyntheticGeometry/syntheticgeometry_06310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3196, "image": "images/SyntheticGeometry/syntheticgeometry_23714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3197, "image": "images/SyntheticGeometry/syntheticgeometry_16569noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3198, "image": "images/SyntheticGeometry/syntheticgeometry_31104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3199, "image": "images/SyntheticGeometry/syntheticgeometry_47704noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3200, "image": "images/SyntheticGeometry/syntheticgeometry_38043noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3201, "image": "images/SyntheticGeometry/syntheticgeometry_23177.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3202, "image": "images/SyntheticGeometry/syntheticgeometry_17639noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3203, "image": "images/SyntheticGeometry/syntheticgeometry_11578.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3204, "image": "images/SyntheticGeometry/syntheticgeometry_19036noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3205, "image": "images/SyntheticGeometry/syntheticgeometry_40354noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3206, "image": "images/SyntheticGeometry/syntheticgeometry_32730noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3207, "image": "images/SyntheticGeometry/syntheticgeometry_34269noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3208, "image": "images/SyntheticGeometry/syntheticgeometry_25856noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3209, "image": "images/SyntheticGeometry/syntheticgeometry_41573noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3210, "image": "images/SyntheticGeometry/syntheticgeometry_20461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3211, "image": "images/SyntheticGeometry/syntheticgeometry_07894noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3212, "image": "images/SyntheticGeometry/syntheticgeometry_36795.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3213, "image": "images/SyntheticGeometry/syntheticgeometry_06565noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3214, "image": "images/SyntheticGeometry/syntheticgeometry_32852.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3215, "image": "images/SyntheticGeometry/syntheticgeometry_11631noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3216, "image": "images/SyntheticGeometry/syntheticgeometry_49748noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3217, "image": "images/SyntheticGeometry/syntheticgeometry_41096noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3218, "image": "images/SyntheticGeometry/syntheticgeometry_45011.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3219, "image": "images/SyntheticGeometry/syntheticgeometry_28614.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3220, "image": "images/SyntheticGeometry/syntheticgeometry_17873noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3221, "image": "images/SyntheticGeometry/syntheticgeometry_19129.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3222, "image": "images/SyntheticGeometry/syntheticgeometry_21100noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3223, "image": "images/SyntheticGeometry/syntheticgeometry_40007noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FCO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3224, "image": "images/SyntheticGeometry/syntheticgeometry_36982noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3225, "image": "images/SyntheticGeometry/syntheticgeometry_43403noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3226, "image": "images/SyntheticGeometry/syntheticgeometry_45377.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3227, "image": "images/SyntheticGeometry/syntheticgeometry_49944.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3228, "image": "images/SyntheticGeometry/syntheticgeometry_26853noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3229, "image": "images/SyntheticGeometry/syntheticgeometry_04581.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3230, "image": "images/SyntheticGeometry/syntheticgeometry_42482noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3231, "image": "images/SyntheticGeometry/syntheticgeometry_14357.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3232, "image": "images/SyntheticGeometry/syntheticgeometry_46801.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3233, "image": "images/SyntheticGeometry/syntheticgeometry_35324.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3234, "image": "images/SyntheticGeometry/syntheticgeometry_18017.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3235, "image": "images/SyntheticGeometry/syntheticgeometry_16298noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3236, "image": "images/SyntheticGeometry/syntheticgeometry_33183noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3237, "image": "images/SyntheticGeometry/syntheticgeometry_34674.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3238, "image": "images/SyntheticGeometry/syntheticgeometry_22125noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3239, "image": "images/SyntheticGeometry/syntheticgeometry_26479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3240, "image": "images/SyntheticGeometry/syntheticgeometry_11297.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3241, "image": "images/SyntheticGeometry/syntheticgeometry_11158noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3242, "image": "images/SyntheticGeometry/syntheticgeometry_36945noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3243, "image": "images/SyntheticGeometry/syntheticgeometry_36387.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3244, "image": "images/SyntheticGeometry/syntheticgeometry_14635noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3245, "image": "images/SyntheticGeometry/syntheticgeometry_04803noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3246, "image": "images/SyntheticGeometry/syntheticgeometry_17167noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3247, "image": "images/SyntheticGeometry/syntheticgeometry_16709.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3248, "image": "images/SyntheticGeometry/syntheticgeometry_20699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3249, "image": "images/SyntheticGeometry/syntheticgeometry_21712noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FLK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3250, "image": "images/SyntheticGeometry/syntheticgeometry_26325.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3251, "image": "images/SyntheticGeometry/syntheticgeometry_18839noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3252, "image": "images/SyntheticGeometry/syntheticgeometry_48259.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3253, "image": "images/SyntheticGeometry/syntheticgeometry_22670.png", "conversations": [{"from": "human", "value": "\nThere is no triangle APC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3254, "image": "images/SyntheticGeometry/syntheticgeometry_22899noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3255, "image": "images/SyntheticGeometry/syntheticgeometry_42338.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3256, "image": "images/SyntheticGeometry/syntheticgeometry_45293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3257, "image": "images/SyntheticGeometry/syntheticgeometry_42368.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3258, "image": "images/SyntheticGeometry/syntheticgeometry_05024noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3259, "image": "images/SyntheticGeometry/syntheticgeometry_08122noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3260, "image": "images/SyntheticGeometry/syntheticgeometry_29855noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3261, "image": "images/SyntheticGeometry/syntheticgeometry_07952.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3262, "image": "images/SyntheticGeometry/syntheticgeometry_40698noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3263, "image": "images/SyntheticGeometry/syntheticgeometry_20494.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3264, "image": "images/SyntheticGeometry/syntheticgeometry_33932noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3265, "image": "images/SyntheticGeometry/syntheticgeometry_07948noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3266, "image": "images/SyntheticGeometry/syntheticgeometry_30089noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3267, "image": "images/SyntheticGeometry/syntheticgeometry_27444noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3268, "image": "images/SyntheticGeometry/syntheticgeometry_30281noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3269, "image": "images/SyntheticGeometry/syntheticgeometry_29029noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3270, "image": "images/SyntheticGeometry/syntheticgeometry_16052noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3271, "image": "images/SyntheticGeometry/syntheticgeometry_27009noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3272, "image": "images/SyntheticGeometry/syntheticgeometry_42631noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3273, "image": "images/SyntheticGeometry/syntheticgeometry_25777noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3274, "image": "images/SyntheticGeometry/syntheticgeometry_37102noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3275, "image": "images/SyntheticGeometry/syntheticgeometry_29309noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3276, "image": "images/SyntheticGeometry/syntheticgeometry_13506noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3277, "image": "images/SyntheticGeometry/syntheticgeometry_42444noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3278, "image": "images/SyntheticGeometry/syntheticgeometry_37930noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3279, "image": "images/SyntheticGeometry/syntheticgeometry_16605noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3280, "image": "images/SyntheticGeometry/syntheticgeometry_15849noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3281, "image": "images/SyntheticGeometry/syntheticgeometry_03969.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3282, "image": "images/SyntheticGeometry/syntheticgeometry_42574noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3283, "image": "images/SyntheticGeometry/syntheticgeometry_02086noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3284, "image": "images/SyntheticGeometry/syntheticgeometry_49175noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3285, "image": "images/SyntheticGeometry/syntheticgeometry_24483noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3286, "image": "images/SyntheticGeometry/syntheticgeometry_39012.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3287, "image": "images/SyntheticGeometry/syntheticgeometry_34181.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3288, "image": "images/SyntheticGeometry/syntheticgeometry_44111.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3289, "image": "images/SyntheticGeometry/syntheticgeometry_12178noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3290, "image": "images/SyntheticGeometry/syntheticgeometry_02236noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3291, "image": "images/SyntheticGeometry/syntheticgeometry_37069.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3292, "image": "images/SyntheticGeometry/syntheticgeometry_18813.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3293, "image": "images/SyntheticGeometry/syntheticgeometry_39294.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3294, "image": "images/SyntheticGeometry/syntheticgeometry_16848.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3295, "image": "images/SyntheticGeometry/syntheticgeometry_37718.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3296, "image": "images/SyntheticGeometry/syntheticgeometry_05584noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3297, "image": "images/SyntheticGeometry/syntheticgeometry_09847noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3298, "image": "images/SyntheticGeometry/syntheticgeometry_09408noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3299, "image": "images/SyntheticGeometry/syntheticgeometry_23021noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3300, "image": "images/SyntheticGeometry/syntheticgeometry_21242noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3301, "image": "images/SyntheticGeometry/syntheticgeometry_26890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3302, "image": "images/SyntheticGeometry/syntheticgeometry_20554.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3303, "image": "images/SyntheticGeometry/syntheticgeometry_20081.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3304, "image": "images/SyntheticGeometry/syntheticgeometry_49704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3305, "image": "images/SyntheticGeometry/syntheticgeometry_37152.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3306, "image": "images/SyntheticGeometry/syntheticgeometry_09144noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3307, "image": "images/SyntheticGeometry/syntheticgeometry_06689noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3308, "image": "images/SyntheticGeometry/syntheticgeometry_41684.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3309, "image": "images/SyntheticGeometry/syntheticgeometry_22796noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3310, "image": "images/SyntheticGeometry/syntheticgeometry_43346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3311, "image": "images/SyntheticGeometry/syntheticgeometry_30098noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GQC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3312, "image": "images/SyntheticGeometry/syntheticgeometry_06226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3313, "image": "images/SyntheticGeometry/syntheticgeometry_32806noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3314, "image": "images/SyntheticGeometry/syntheticgeometry_34936noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3315, "image": "images/SyntheticGeometry/syntheticgeometry_38179noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3316, "image": "images/SyntheticGeometry/syntheticgeometry_19453noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3317, "image": "images/SyntheticGeometry/syntheticgeometry_31325.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3318, "image": "images/SyntheticGeometry/syntheticgeometry_11384noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NEM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3319, "image": "images/SyntheticGeometry/syntheticgeometry_22931noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3320, "image": "images/SyntheticGeometry/syntheticgeometry_11325noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3321, "image": "images/SyntheticGeometry/syntheticgeometry_27192.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3322, "image": "images/SyntheticGeometry/syntheticgeometry_19945noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3323, "image": "images/SyntheticGeometry/syntheticgeometry_46130.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3324, "image": "images/SyntheticGeometry/syntheticgeometry_31855noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3325, "image": "images/SyntheticGeometry/syntheticgeometry_45606noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3326, "image": "images/SyntheticGeometry/syntheticgeometry_37612noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3327, "image": "images/SyntheticGeometry/syntheticgeometry_28147noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3328, "image": "images/SyntheticGeometry/syntheticgeometry_10567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3329, "image": "images/SyntheticGeometry/syntheticgeometry_42289noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3330, "image": "images/SyntheticGeometry/syntheticgeometry_12186.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3331, "image": "images/SyntheticGeometry/syntheticgeometry_16701noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3332, "image": "images/SyntheticGeometry/syntheticgeometry_17936.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3333, "image": "images/SyntheticGeometry/syntheticgeometry_18922noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3334, "image": "images/SyntheticGeometry/syntheticgeometry_08291noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3335, "image": "images/SyntheticGeometry/syntheticgeometry_41420noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3336, "image": "images/SyntheticGeometry/syntheticgeometry_03360noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3337, "image": "images/SyntheticGeometry/syntheticgeometry_28180.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3338, "image": "images/SyntheticGeometry/syntheticgeometry_38657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3339, "image": "images/SyntheticGeometry/syntheticgeometry_13832noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3340, "image": "images/SyntheticGeometry/syntheticgeometry_02005.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BDP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3341, "image": "images/SyntheticGeometry/syntheticgeometry_43240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3342, "image": "images/SyntheticGeometry/syntheticgeometry_13458noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3343, "image": "images/SyntheticGeometry/syntheticgeometry_10296.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3344, "image": "images/SyntheticGeometry/syntheticgeometry_03984.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3345, "image": "images/SyntheticGeometry/syntheticgeometry_48186noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3346, "image": "images/SyntheticGeometry/syntheticgeometry_36868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3347, "image": "images/SyntheticGeometry/syntheticgeometry_26549.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3348, "image": "images/SyntheticGeometry/syntheticgeometry_06512noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3349, "image": "images/SyntheticGeometry/syntheticgeometry_11447.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3350, "image": "images/SyntheticGeometry/syntheticgeometry_16672noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GKD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3351, "image": "images/SyntheticGeometry/syntheticgeometry_39851.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3352, "image": "images/SyntheticGeometry/syntheticgeometry_19049noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3353, "image": "images/SyntheticGeometry/syntheticgeometry_23231noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3354, "image": "images/SyntheticGeometry/syntheticgeometry_16539.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3355, "image": "images/SyntheticGeometry/syntheticgeometry_11329noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3356, "image": "images/SyntheticGeometry/syntheticgeometry_45474.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3357, "image": "images/SyntheticGeometry/syntheticgeometry_34055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3358, "image": "images/SyntheticGeometry/syntheticgeometry_13586.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3359, "image": "images/SyntheticGeometry/syntheticgeometry_28236.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3360, "image": "images/SyntheticGeometry/syntheticgeometry_40292noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3361, "image": "images/SyntheticGeometry/syntheticgeometry_33674.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3362, "image": "images/SyntheticGeometry/syntheticgeometry_28979noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3363, "image": "images/SyntheticGeometry/syntheticgeometry_06434noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3364, "image": "images/SyntheticGeometry/syntheticgeometry_44411noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3365, "image": "images/SyntheticGeometry/syntheticgeometry_05250noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3366, "image": "images/SyntheticGeometry/syntheticgeometry_24613.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3367, "image": "images/SyntheticGeometry/syntheticgeometry_04955noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3368, "image": "images/SyntheticGeometry/syntheticgeometry_46540noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3369, "image": "images/SyntheticGeometry/syntheticgeometry_07431noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3370, "image": "images/SyntheticGeometry/syntheticgeometry_09070.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3371, "image": "images/SyntheticGeometry/syntheticgeometry_12088noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3372, "image": "images/SyntheticGeometry/syntheticgeometry_16878noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3373, "image": "images/SyntheticGeometry/syntheticgeometry_21077noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3374, "image": "images/SyntheticGeometry/syntheticgeometry_33042.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3375, "image": "images/SyntheticGeometry/syntheticgeometry_43325noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3376, "image": "images/SyntheticGeometry/syntheticgeometry_05762.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3377, "image": "images/SyntheticGeometry/syntheticgeometry_48827.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3378, "image": "images/SyntheticGeometry/syntheticgeometry_24527noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3379, "image": "images/SyntheticGeometry/syntheticgeometry_04210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3380, "image": "images/SyntheticGeometry/syntheticgeometry_15017.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3381, "image": "images/SyntheticGeometry/syntheticgeometry_33580noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3382, "image": "images/SyntheticGeometry/syntheticgeometry_44401noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3383, "image": "images/SyntheticGeometry/syntheticgeometry_47017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3384, "image": "images/SyntheticGeometry/syntheticgeometry_03577noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3385, "image": "images/SyntheticGeometry/syntheticgeometry_26033noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3386, "image": "images/SyntheticGeometry/syntheticgeometry_30338noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3387, "image": "images/SyntheticGeometry/syntheticgeometry_12756.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3388, "image": "images/SyntheticGeometry/syntheticgeometry_27604noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3389, "image": "images/SyntheticGeometry/syntheticgeometry_39112noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MJP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3390, "image": "images/SyntheticGeometry/syntheticgeometry_20669.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3391, "image": "images/SyntheticGeometry/syntheticgeometry_29372.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3392, "image": "images/SyntheticGeometry/syntheticgeometry_11217.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3393, "image": "images/SyntheticGeometry/syntheticgeometry_20243noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3394, "image": "images/SyntheticGeometry/syntheticgeometry_09953noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3395, "image": "images/SyntheticGeometry/syntheticgeometry_22683noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3396, "image": "images/SyntheticGeometry/syntheticgeometry_16247.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3397, "image": "images/SyntheticGeometry/syntheticgeometry_28190.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3398, "image": "images/SyntheticGeometry/syntheticgeometry_34498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3399, "image": "images/SyntheticGeometry/syntheticgeometry_40610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3400, "image": "images/SyntheticGeometry/syntheticgeometry_06022noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3401, "image": "images/SyntheticGeometry/syntheticgeometry_45699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3402, "image": "images/SyntheticGeometry/syntheticgeometry_47048noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3403, "image": "images/SyntheticGeometry/syntheticgeometry_24442noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3404, "image": "images/SyntheticGeometry/syntheticgeometry_06559noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3405, "image": "images/SyntheticGeometry/syntheticgeometry_27537noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3406, "image": "images/SyntheticGeometry/syntheticgeometry_45984noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3407, "image": "images/SyntheticGeometry/syntheticgeometry_33928noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3408, "image": "images/SyntheticGeometry/syntheticgeometry_39662noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3409, "image": "images/SyntheticGeometry/syntheticgeometry_30057.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3410, "image": "images/SyntheticGeometry/syntheticgeometry_42021noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3411, "image": "images/SyntheticGeometry/syntheticgeometry_21992noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3412, "image": "images/SyntheticGeometry/syntheticgeometry_05546noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3413, "image": "images/SyntheticGeometry/syntheticgeometry_44370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3414, "image": "images/SyntheticGeometry/syntheticgeometry_19528noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3415, "image": "images/SyntheticGeometry/syntheticgeometry_29206noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3416, "image": "images/SyntheticGeometry/syntheticgeometry_08796.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3417, "image": "images/SyntheticGeometry/syntheticgeometry_07715noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3418, "image": "images/SyntheticGeometry/syntheticgeometry_23473.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3419, "image": "images/SyntheticGeometry/syntheticgeometry_32962.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3420, "image": "images/SyntheticGeometry/syntheticgeometry_24011noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3421, "image": "images/SyntheticGeometry/syntheticgeometry_20155noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3422, "image": "images/SyntheticGeometry/syntheticgeometry_23248noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3423, "image": "images/SyntheticGeometry/syntheticgeometry_25226noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3424, "image": "images/SyntheticGeometry/syntheticgeometry_16967noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3425, "image": "images/SyntheticGeometry/syntheticgeometry_27480.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3426, "image": "images/SyntheticGeometry/syntheticgeometry_28378noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3427, "image": "images/SyntheticGeometry/syntheticgeometry_36543noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3428, "image": "images/SyntheticGeometry/syntheticgeometry_37207noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3429, "image": "images/SyntheticGeometry/syntheticgeometry_11988noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3430, "image": "images/SyntheticGeometry/syntheticgeometry_15748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3431, "image": "images/SyntheticGeometry/syntheticgeometry_04836noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3432, "image": "images/SyntheticGeometry/syntheticgeometry_23823.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3433, "image": "images/SyntheticGeometry/syntheticgeometry_21402noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LOE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3434, "image": "images/SyntheticGeometry/syntheticgeometry_06842noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3435, "image": "images/SyntheticGeometry/syntheticgeometry_20658.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3436, "image": "images/SyntheticGeometry/syntheticgeometry_09340noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3437, "image": "images/SyntheticGeometry/syntheticgeometry_04612noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3438, "image": "images/SyntheticGeometry/syntheticgeometry_20941noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3439, "image": "images/SyntheticGeometry/syntheticgeometry_22997noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FLO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3440, "image": "images/SyntheticGeometry/syntheticgeometry_41752.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3441, "image": "images/SyntheticGeometry/syntheticgeometry_21033noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3442, "image": "images/SyntheticGeometry/syntheticgeometry_41879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3443, "image": "images/SyntheticGeometry/syntheticgeometry_33364noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3444, "image": "images/SyntheticGeometry/syntheticgeometry_10951.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3445, "image": "images/SyntheticGeometry/syntheticgeometry_40074.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3446, "image": "images/SyntheticGeometry/syntheticgeometry_04350noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3447, "image": "images/SyntheticGeometry/syntheticgeometry_26916noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3448, "image": "images/SyntheticGeometry/syntheticgeometry_33677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3449, "image": "images/SyntheticGeometry/syntheticgeometry_21004.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3450, "image": "images/SyntheticGeometry/syntheticgeometry_29967noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3451, "image": "images/SyntheticGeometry/syntheticgeometry_06036noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3452, "image": "images/SyntheticGeometry/syntheticgeometry_19472noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3453, "image": "images/SyntheticGeometry/syntheticgeometry_04564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3454, "image": "images/SyntheticGeometry/syntheticgeometry_20000noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3455, "image": "images/SyntheticGeometry/syntheticgeometry_07104.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3456, "image": "images/SyntheticGeometry/syntheticgeometry_02547noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3457, "image": "images/SyntheticGeometry/syntheticgeometry_22947noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3458, "image": "images/SyntheticGeometry/syntheticgeometry_26719noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3459, "image": "images/SyntheticGeometry/syntheticgeometry_32930.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3460, "image": "images/SyntheticGeometry/syntheticgeometry_07128noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3461, "image": "images/SyntheticGeometry/syntheticgeometry_39417.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3462, "image": "images/SyntheticGeometry/syntheticgeometry_29200noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3463, "image": "images/SyntheticGeometry/syntheticgeometry_32401noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3464, "image": "images/SyntheticGeometry/syntheticgeometry_18740.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3465, "image": "images/SyntheticGeometry/syntheticgeometry_13620.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3466, "image": "images/SyntheticGeometry/syntheticgeometry_03461.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3467, "image": "images/SyntheticGeometry/syntheticgeometry_46668.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3468, "image": "images/SyntheticGeometry/syntheticgeometry_18785.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3469, "image": "images/SyntheticGeometry/syntheticgeometry_38942noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3470, "image": "images/SyntheticGeometry/syntheticgeometry_31489.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3471, "image": "images/SyntheticGeometry/syntheticgeometry_34966noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3472, "image": "images/SyntheticGeometry/syntheticgeometry_05205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3473, "image": "images/SyntheticGeometry/syntheticgeometry_07178.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3474, "image": "images/SyntheticGeometry/syntheticgeometry_10153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3475, "image": "images/SyntheticGeometry/syntheticgeometry_47787.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3476, "image": "images/SyntheticGeometry/syntheticgeometry_06392noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3477, "image": "images/SyntheticGeometry/syntheticgeometry_08132noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3478, "image": "images/SyntheticGeometry/syntheticgeometry_26642noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3479, "image": "images/SyntheticGeometry/syntheticgeometry_30084noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3480, "image": "images/SyntheticGeometry/syntheticgeometry_31186noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3481, "image": "images/SyntheticGeometry/syntheticgeometry_42647.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3482, "image": "images/SyntheticGeometry/syntheticgeometry_14035.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3483, "image": "images/SyntheticGeometry/syntheticgeometry_22610.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3484, "image": "images/SyntheticGeometry/syntheticgeometry_13365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3485, "image": "images/SyntheticGeometry/syntheticgeometry_48387noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3486, "image": "images/SyntheticGeometry/syntheticgeometry_32110.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3487, "image": "images/SyntheticGeometry/syntheticgeometry_26467noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3488, "image": "images/SyntheticGeometry/syntheticgeometry_25987.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3489, "image": "images/SyntheticGeometry/syntheticgeometry_15735noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3490, "image": "images/SyntheticGeometry/syntheticgeometry_04287noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3491, "image": "images/SyntheticGeometry/syntheticgeometry_34537.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3492, "image": "images/SyntheticGeometry/syntheticgeometry_33118noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3493, "image": "images/SyntheticGeometry/syntheticgeometry_33181noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GLI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3494, "image": "images/SyntheticGeometry/syntheticgeometry_47119.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3495, "image": "images/SyntheticGeometry/syntheticgeometry_08749.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3496, "image": "images/SyntheticGeometry/syntheticgeometry_04456noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3497, "image": "images/SyntheticGeometry/syntheticgeometry_09918noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3498, "image": "images/SyntheticGeometry/syntheticgeometry_39184.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3499, "image": "images/SyntheticGeometry/syntheticgeometry_02200noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3500, "image": "images/SyntheticGeometry/syntheticgeometry_47775.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3501, "image": "images/SyntheticGeometry/syntheticgeometry_07908noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3502, "image": "images/SyntheticGeometry/syntheticgeometry_07419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3503, "image": "images/SyntheticGeometry/syntheticgeometry_04719.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3504, "image": "images/SyntheticGeometry/syntheticgeometry_07926noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3505, "image": "images/SyntheticGeometry/syntheticgeometry_30211noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3506, "image": "images/SyntheticGeometry/syntheticgeometry_04290noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3507, "image": "images/SyntheticGeometry/syntheticgeometry_42682.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3508, "image": "images/SyntheticGeometry/syntheticgeometry_42887noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3509, "image": "images/SyntheticGeometry/syntheticgeometry_47307noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3510, "image": "images/SyntheticGeometry/syntheticgeometry_12199noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3511, "image": "images/SyntheticGeometry/syntheticgeometry_42261.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3512, "image": "images/SyntheticGeometry/syntheticgeometry_18011.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3513, "image": "images/SyntheticGeometry/syntheticgeometry_43582noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3514, "image": "images/SyntheticGeometry/syntheticgeometry_43436noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GCK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3515, "image": "images/SyntheticGeometry/syntheticgeometry_24052.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3516, "image": "images/SyntheticGeometry/syntheticgeometry_45502noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3517, "image": "images/SyntheticGeometry/syntheticgeometry_36622noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3518, "image": "images/SyntheticGeometry/syntheticgeometry_06293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3519, "image": "images/SyntheticGeometry/syntheticgeometry_33699.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3520, "image": "images/SyntheticGeometry/syntheticgeometry_12699.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3521, "image": "images/SyntheticGeometry/syntheticgeometry_13016noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3522, "image": "images/SyntheticGeometry/syntheticgeometry_33900.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3523, "image": "images/SyntheticGeometry/syntheticgeometry_43486noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3524, "image": "images/SyntheticGeometry/syntheticgeometry_25063.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3525, "image": "images/SyntheticGeometry/syntheticgeometry_15113noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3526, "image": "images/SyntheticGeometry/syntheticgeometry_42571.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3527, "image": "images/SyntheticGeometry/syntheticgeometry_03348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3528, "image": "images/SyntheticGeometry/syntheticgeometry_41093noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3529, "image": "images/SyntheticGeometry/syntheticgeometry_07148noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3530, "image": "images/SyntheticGeometry/syntheticgeometry_36359noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3531, "image": "images/SyntheticGeometry/syntheticgeometry_44237noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3532, "image": "images/SyntheticGeometry/syntheticgeometry_47217noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3533, "image": "images/SyntheticGeometry/syntheticgeometry_10392noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3534, "image": "images/SyntheticGeometry/syntheticgeometry_17789noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3535, "image": "images/SyntheticGeometry/syntheticgeometry_48270noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3536, "image": "images/SyntheticGeometry/syntheticgeometry_15736.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3537, "image": "images/SyntheticGeometry/syntheticgeometry_02798noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3538, "image": "images/SyntheticGeometry/syntheticgeometry_15390.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3539, "image": "images/SyntheticGeometry/syntheticgeometry_39543noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3540, "image": "images/SyntheticGeometry/syntheticgeometry_05183.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3541, "image": "images/SyntheticGeometry/syntheticgeometry_15289noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3542, "image": "images/SyntheticGeometry/syntheticgeometry_41289noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3543, "image": "images/SyntheticGeometry/syntheticgeometry_06510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3544, "image": "images/SyntheticGeometry/syntheticgeometry_02601.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3545, "image": "images/SyntheticGeometry/syntheticgeometry_05313noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3546, "image": "images/SyntheticGeometry/syntheticgeometry_03594.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3547, "image": "images/SyntheticGeometry/syntheticgeometry_06855.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3548, "image": "images/SyntheticGeometry/syntheticgeometry_06852.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3549, "image": "images/SyntheticGeometry/syntheticgeometry_16302noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3550, "image": "images/SyntheticGeometry/syntheticgeometry_47144.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3551, "image": "images/SyntheticGeometry/syntheticgeometry_28693noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KNG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3552, "image": "images/SyntheticGeometry/syntheticgeometry_27765noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle QJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3553, "image": "images/SyntheticGeometry/syntheticgeometry_10067.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3554, "image": "images/SyntheticGeometry/syntheticgeometry_30969noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3555, "image": "images/SyntheticGeometry/syntheticgeometry_10449noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3556, "image": "images/SyntheticGeometry/syntheticgeometry_39266noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3557, "image": "images/SyntheticGeometry/syntheticgeometry_37813noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3558, "image": "images/SyntheticGeometry/syntheticgeometry_41511noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3559, "image": "images/SyntheticGeometry/syntheticgeometry_21436noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3560, "image": "images/SyntheticGeometry/syntheticgeometry_08540noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3561, "image": "images/SyntheticGeometry/syntheticgeometry_03901noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3562, "image": "images/SyntheticGeometry/syntheticgeometry_41888.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3563, "image": "images/SyntheticGeometry/syntheticgeometry_29012noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3564, "image": "images/SyntheticGeometry/syntheticgeometry_05823.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3565, "image": "images/SyntheticGeometry/syntheticgeometry_46353.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3566, "image": "images/SyntheticGeometry/syntheticgeometry_29521noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3567, "image": "images/SyntheticGeometry/syntheticgeometry_25098noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3568, "image": "images/SyntheticGeometry/syntheticgeometry_03448noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3569, "image": "images/SyntheticGeometry/syntheticgeometry_29955.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3570, "image": "images/SyntheticGeometry/syntheticgeometry_21285noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3571, "image": "images/SyntheticGeometry/syntheticgeometry_42586noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3572, "image": "images/SyntheticGeometry/syntheticgeometry_05571noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3573, "image": "images/SyntheticGeometry/syntheticgeometry_08760.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3574, "image": "images/SyntheticGeometry/syntheticgeometry_15584noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3575, "image": "images/SyntheticGeometry/syntheticgeometry_10721noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3576, "image": "images/SyntheticGeometry/syntheticgeometry_43755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3577, "image": "images/SyntheticGeometry/syntheticgeometry_36523noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3578, "image": "images/SyntheticGeometry/syntheticgeometry_02087.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3579, "image": "images/SyntheticGeometry/syntheticgeometry_03283.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3580, "image": "images/SyntheticGeometry/syntheticgeometry_32976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3581, "image": "images/SyntheticGeometry/syntheticgeometry_35238.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3582, "image": "images/SyntheticGeometry/syntheticgeometry_30990.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3583, "image": "images/SyntheticGeometry/syntheticgeometry_39518.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3584, "image": "images/SyntheticGeometry/syntheticgeometry_20816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3585, "image": "images/SyntheticGeometry/syntheticgeometry_35046noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3586, "image": "images/SyntheticGeometry/syntheticgeometry_43099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3587, "image": "images/SyntheticGeometry/syntheticgeometry_31366.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3588, "image": "images/SyntheticGeometry/syntheticgeometry_37294noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3589, "image": "images/SyntheticGeometry/syntheticgeometry_13303.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3590, "image": "images/SyntheticGeometry/syntheticgeometry_35287.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3591, "image": "images/SyntheticGeometry/syntheticgeometry_29129noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3592, "image": "images/SyntheticGeometry/syntheticgeometry_08253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3593, "image": "images/SyntheticGeometry/syntheticgeometry_24634.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3594, "image": "images/SyntheticGeometry/syntheticgeometry_44719noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3595, "image": "images/SyntheticGeometry/syntheticgeometry_02918.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3596, "image": "images/SyntheticGeometry/syntheticgeometry_20260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3597, "image": "images/SyntheticGeometry/syntheticgeometry_42269noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LOM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3598, "image": "images/SyntheticGeometry/syntheticgeometry_09745noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3599, "image": "images/SyntheticGeometry/syntheticgeometry_34034noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3600, "image": "images/SyntheticGeometry/syntheticgeometry_16518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3601, "image": "images/SyntheticGeometry/syntheticgeometry_47137noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3602, "image": "images/SyntheticGeometry/syntheticgeometry_43928.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3603, "image": "images/SyntheticGeometry/syntheticgeometry_03934noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3604, "image": "images/SyntheticGeometry/syntheticgeometry_14214noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3605, "image": "images/SyntheticGeometry/syntheticgeometry_48675noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3606, "image": "images/SyntheticGeometry/syntheticgeometry_14020.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3607, "image": "images/SyntheticGeometry/syntheticgeometry_36720.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3608, "image": "images/SyntheticGeometry/syntheticgeometry_40042noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3609, "image": "images/SyntheticGeometry/syntheticgeometry_35270noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3610, "image": "images/SyntheticGeometry/syntheticgeometry_03836noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3611, "image": "images/SyntheticGeometry/syntheticgeometry_25057noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3612, "image": "images/SyntheticGeometry/syntheticgeometry_08606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3613, "image": "images/SyntheticGeometry/syntheticgeometry_48772.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3614, "image": "images/SyntheticGeometry/syntheticgeometry_28580.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3615, "image": "images/SyntheticGeometry/syntheticgeometry_03441noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3616, "image": "images/SyntheticGeometry/syntheticgeometry_04282noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3617, "image": "images/SyntheticGeometry/syntheticgeometry_15328.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3618, "image": "images/SyntheticGeometry/syntheticgeometry_40440noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3619, "image": "images/SyntheticGeometry/syntheticgeometry_42651noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3620, "image": "images/SyntheticGeometry/syntheticgeometry_21642.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3621, "image": "images/SyntheticGeometry/syntheticgeometry_33682.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3622, "image": "images/SyntheticGeometry/syntheticgeometry_37099noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3623, "image": "images/SyntheticGeometry/syntheticgeometry_23976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3624, "image": "images/SyntheticGeometry/syntheticgeometry_07485noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3625, "image": "images/SyntheticGeometry/syntheticgeometry_46827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3626, "image": "images/SyntheticGeometry/syntheticgeometry_24836.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3627, "image": "images/SyntheticGeometry/syntheticgeometry_28183.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3628, "image": "images/SyntheticGeometry/syntheticgeometry_49421.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3629, "image": "images/SyntheticGeometry/syntheticgeometry_43466noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3630, "image": "images/SyntheticGeometry/syntheticgeometry_09703noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3631, "image": "images/SyntheticGeometry/syntheticgeometry_26560.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3632, "image": "images/SyntheticGeometry/syntheticgeometry_10411.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3633, "image": "images/SyntheticGeometry/syntheticgeometry_28314noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3634, "image": "images/SyntheticGeometry/syntheticgeometry_09916noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3635, "image": "images/SyntheticGeometry/syntheticgeometry_40278.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3636, "image": "images/SyntheticGeometry/syntheticgeometry_21771.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3637, "image": "images/SyntheticGeometry/syntheticgeometry_45931noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HNF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3638, "image": "images/SyntheticGeometry/syntheticgeometry_48788noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3639, "image": "images/SyntheticGeometry/syntheticgeometry_20419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3640, "image": "images/SyntheticGeometry/syntheticgeometry_34845.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3641, "image": "images/SyntheticGeometry/syntheticgeometry_06318noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3642, "image": "images/SyntheticGeometry/syntheticgeometry_04991noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3643, "image": "images/SyntheticGeometry/syntheticgeometry_36765noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3644, "image": "images/SyntheticGeometry/syntheticgeometry_16578noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3645, "image": "images/SyntheticGeometry/syntheticgeometry_33214noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3646, "image": "images/SyntheticGeometry/syntheticgeometry_44704.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3647, "image": "images/SyntheticGeometry/syntheticgeometry_22325noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3648, "image": "images/SyntheticGeometry/syntheticgeometry_27362noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3649, "image": "images/SyntheticGeometry/syntheticgeometry_22450noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3650, "image": "images/SyntheticGeometry/syntheticgeometry_10760noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3651, "image": "images/SyntheticGeometry/syntheticgeometry_24055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3652, "image": "images/SyntheticGeometry/syntheticgeometry_26726noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3653, "image": "images/SyntheticGeometry/syntheticgeometry_20844noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3654, "image": "images/SyntheticGeometry/syntheticgeometry_08408noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3655, "image": "images/SyntheticGeometry/syntheticgeometry_26326noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3656, "image": "images/SyntheticGeometry/syntheticgeometry_14220noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3657, "image": "images/SyntheticGeometry/syntheticgeometry_09274noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3658, "image": "images/SyntheticGeometry/syntheticgeometry_08427noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3659, "image": "images/SyntheticGeometry/syntheticgeometry_11321.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3660, "image": "images/SyntheticGeometry/syntheticgeometry_23069noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3661, "image": "images/SyntheticGeometry/syntheticgeometry_13213noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3662, "image": "images/SyntheticGeometry/syntheticgeometry_42766noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3663, "image": "images/SyntheticGeometry/syntheticgeometry_03665noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3664, "image": "images/SyntheticGeometry/syntheticgeometry_05580.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3665, "image": "images/SyntheticGeometry/syntheticgeometry_49672noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3666, "image": "images/SyntheticGeometry/syntheticgeometry_40760noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3667, "image": "images/SyntheticGeometry/syntheticgeometry_05846noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3668, "image": "images/SyntheticGeometry/syntheticgeometry_14977noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3669, "image": "images/SyntheticGeometry/syntheticgeometry_44146noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3670, "image": "images/SyntheticGeometry/syntheticgeometry_26122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3671, "image": "images/SyntheticGeometry/syntheticgeometry_10698.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3672, "image": "images/SyntheticGeometry/syntheticgeometry_09449.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3673, "image": "images/SyntheticGeometry/syntheticgeometry_45657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3674, "image": "images/SyntheticGeometry/syntheticgeometry_38963noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3675, "image": "images/SyntheticGeometry/syntheticgeometry_49501noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3676, "image": "images/SyntheticGeometry/syntheticgeometry_31649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3677, "image": "images/SyntheticGeometry/syntheticgeometry_49127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3678, "image": "images/SyntheticGeometry/syntheticgeometry_23086noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3679, "image": "images/SyntheticGeometry/syntheticgeometry_43335.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3680, "image": "images/SyntheticGeometry/syntheticgeometry_25676.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3681, "image": "images/SyntheticGeometry/syntheticgeometry_45202.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3682, "image": "images/SyntheticGeometry/syntheticgeometry_13107.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3683, "image": "images/SyntheticGeometry/syntheticgeometry_32719.png", "conversations": [{"from": "human", "value": "\nThere is no triangle KMN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3684, "image": "images/SyntheticGeometry/syntheticgeometry_49292.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3685, "image": "images/SyntheticGeometry/syntheticgeometry_02431.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3686, "image": "images/SyntheticGeometry/syntheticgeometry_33253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3687, "image": "images/SyntheticGeometry/syntheticgeometry_48952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3688, "image": "images/SyntheticGeometry/syntheticgeometry_49662.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3689, "image": "images/SyntheticGeometry/syntheticgeometry_19585.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3690, "image": "images/SyntheticGeometry/syntheticgeometry_10080noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3691, "image": "images/SyntheticGeometry/syntheticgeometry_04800noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3692, "image": "images/SyntheticGeometry/syntheticgeometry_10366noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3693, "image": "images/SyntheticGeometry/syntheticgeometry_40839noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3694, "image": "images/SyntheticGeometry/syntheticgeometry_31657.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3695, "image": "images/SyntheticGeometry/syntheticgeometry_06393noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3696, "image": "images/SyntheticGeometry/syntheticgeometry_26847noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3697, "image": "images/SyntheticGeometry/syntheticgeometry_39933.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3698, "image": "images/SyntheticGeometry/syntheticgeometry_34090noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3699, "image": "images/SyntheticGeometry/syntheticgeometry_20388noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3700, "image": "images/SyntheticGeometry/syntheticgeometry_15205.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3701, "image": "images/SyntheticGeometry/syntheticgeometry_08178.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3702, "image": "images/SyntheticGeometry/syntheticgeometry_41648noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3703, "image": "images/SyntheticGeometry/syntheticgeometry_29716.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3704, "image": "images/SyntheticGeometry/syntheticgeometry_11803noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3705, "image": "images/SyntheticGeometry/syntheticgeometry_22910noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3706, "image": "images/SyntheticGeometry/syntheticgeometry_38790noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3707, "image": "images/SyntheticGeometry/syntheticgeometry_02852noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3708, "image": "images/SyntheticGeometry/syntheticgeometry_08694noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3709, "image": "images/SyntheticGeometry/syntheticgeometry_22770.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3710, "image": "images/SyntheticGeometry/syntheticgeometry_14070noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3711, "image": "images/SyntheticGeometry/syntheticgeometry_31834noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3712, "image": "images/SyntheticGeometry/syntheticgeometry_10136.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3713, "image": "images/SyntheticGeometry/syntheticgeometry_16882noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3714, "image": "images/SyntheticGeometry/syntheticgeometry_26304noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3715, "image": "images/SyntheticGeometry/syntheticgeometry_24226.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3716, "image": "images/SyntheticGeometry/syntheticgeometry_19742noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3717, "image": "images/SyntheticGeometry/syntheticgeometry_16241noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3718, "image": "images/SyntheticGeometry/syntheticgeometry_11096noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3719, "image": "images/SyntheticGeometry/syntheticgeometry_41438.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3720, "image": "images/SyntheticGeometry/syntheticgeometry_13641noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3721, "image": "images/SyntheticGeometry/syntheticgeometry_40513.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3722, "image": "images/SyntheticGeometry/syntheticgeometry_09028.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3723, "image": "images/SyntheticGeometry/syntheticgeometry_33629noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3724, "image": "images/SyntheticGeometry/syntheticgeometry_41978.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3725, "image": "images/SyntheticGeometry/syntheticgeometry_25375.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3726, "image": "images/SyntheticGeometry/syntheticgeometry_44343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3727, "image": "images/SyntheticGeometry/syntheticgeometry_07242noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3728, "image": "images/SyntheticGeometry/syntheticgeometry_02806noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3729, "image": "images/SyntheticGeometry/syntheticgeometry_22546noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3730, "image": "images/SyntheticGeometry/syntheticgeometry_24001noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3731, "image": "images/SyntheticGeometry/syntheticgeometry_21804noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3732, "image": "images/SyntheticGeometry/syntheticgeometry_42162noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3733, "image": "images/SyntheticGeometry/syntheticgeometry_27390.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3734, "image": "images/SyntheticGeometry/syntheticgeometry_40356noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3735, "image": "images/SyntheticGeometry/syntheticgeometry_49528.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3736, "image": "images/SyntheticGeometry/syntheticgeometry_45018noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3737, "image": "images/SyntheticGeometry/syntheticgeometry_36447.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3738, "image": "images/SyntheticGeometry/syntheticgeometry_49277noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3739, "image": "images/SyntheticGeometry/syntheticgeometry_08438noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3740, "image": "images/SyntheticGeometry/syntheticgeometry_37131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3741, "image": "images/SyntheticGeometry/syntheticgeometry_04797noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3742, "image": "images/SyntheticGeometry/syntheticgeometry_45427.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3743, "image": "images/SyntheticGeometry/syntheticgeometry_16330noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3744, "image": "images/SyntheticGeometry/syntheticgeometry_41508noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3745, "image": "images/SyntheticGeometry/syntheticgeometry_19118.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3746, "image": "images/SyntheticGeometry/syntheticgeometry_45493noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3747, "image": "images/SyntheticGeometry/syntheticgeometry_37212noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3748, "image": "images/SyntheticGeometry/syntheticgeometry_23402noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3749, "image": "images/SyntheticGeometry/syntheticgeometry_15832noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3750, "image": "images/SyntheticGeometry/syntheticgeometry_15525noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3751, "image": "images/SyntheticGeometry/syntheticgeometry_20855noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3752, "image": "images/SyntheticGeometry/syntheticgeometry_21777.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3753, "image": "images/SyntheticGeometry/syntheticgeometry_49970noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3754, "image": "images/SyntheticGeometry/syntheticgeometry_10483.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3755, "image": "images/SyntheticGeometry/syntheticgeometry_28256.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3756, "image": "images/SyntheticGeometry/syntheticgeometry_15782noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3757, "image": "images/SyntheticGeometry/syntheticgeometry_33808noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3758, "image": "images/SyntheticGeometry/syntheticgeometry_33057.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3759, "image": "images/SyntheticGeometry/syntheticgeometry_42075noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3760, "image": "images/SyntheticGeometry/syntheticgeometry_48331.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3761, "image": "images/SyntheticGeometry/syntheticgeometry_24605.png", "conversations": [{"from": "human", "value": "\nThere is no triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3762, "image": "images/SyntheticGeometry/syntheticgeometry_39594.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3763, "image": "images/SyntheticGeometry/syntheticgeometry_27365.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3764, "image": "images/SyntheticGeometry/syntheticgeometry_06144noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3765, "image": "images/SyntheticGeometry/syntheticgeometry_04752noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3766, "image": "images/SyntheticGeometry/syntheticgeometry_39157.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3767, "image": "images/SyntheticGeometry/syntheticgeometry_13317.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BCI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3768, "image": "images/SyntheticGeometry/syntheticgeometry_28551.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3769, "image": "images/SyntheticGeometry/syntheticgeometry_29033noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3770, "image": "images/SyntheticGeometry/syntheticgeometry_33764noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3771, "image": "images/SyntheticGeometry/syntheticgeometry_05270noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3772, "image": "images/SyntheticGeometry/syntheticgeometry_43128noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3773, "image": "images/SyntheticGeometry/syntheticgeometry_22798noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3774, "image": "images/SyntheticGeometry/syntheticgeometry_24033noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3775, "image": "images/SyntheticGeometry/syntheticgeometry_16206.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3776, "image": "images/SyntheticGeometry/syntheticgeometry_46525noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3777, "image": "images/SyntheticGeometry/syntheticgeometry_19279noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3778, "image": "images/SyntheticGeometry/syntheticgeometry_13714.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3779, "image": "images/SyntheticGeometry/syntheticgeometry_26294noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3780, "image": "images/SyntheticGeometry/syntheticgeometry_13419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3781, "image": "images/SyntheticGeometry/syntheticgeometry_33634noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3782, "image": "images/SyntheticGeometry/syntheticgeometry_15668.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3783, "image": "images/SyntheticGeometry/syntheticgeometry_12667.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3784, "image": "images/SyntheticGeometry/syntheticgeometry_32804noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3785, "image": "images/SyntheticGeometry/syntheticgeometry_37925noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3786, "image": "images/SyntheticGeometry/syntheticgeometry_14358noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3787, "image": "images/SyntheticGeometry/syntheticgeometry_19066noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BNC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3788, "image": "images/SyntheticGeometry/syntheticgeometry_22469.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3789, "image": "images/SyntheticGeometry/syntheticgeometry_20979.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3790, "image": "images/SyntheticGeometry/syntheticgeometry_09323noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3791, "image": "images/SyntheticGeometry/syntheticgeometry_49676noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3792, "image": "images/SyntheticGeometry/syntheticgeometry_27464.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3793, "image": "images/SyntheticGeometry/syntheticgeometry_12253noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3794, "image": "images/SyntheticGeometry/syntheticgeometry_39465.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3795, "image": "images/SyntheticGeometry/syntheticgeometry_37592.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3796, "image": "images/SyntheticGeometry/syntheticgeometry_02314noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3797, "image": "images/SyntheticGeometry/syntheticgeometry_20429noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3798, "image": "images/SyntheticGeometry/syntheticgeometry_48480noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3799, "image": "images/SyntheticGeometry/syntheticgeometry_46839noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3800, "image": "images/SyntheticGeometry/syntheticgeometry_19717noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3801, "image": "images/SyntheticGeometry/syntheticgeometry_11222.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3802, "image": "images/SyntheticGeometry/syntheticgeometry_08894noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3803, "image": "images/SyntheticGeometry/syntheticgeometry_40169.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3804, "image": "images/SyntheticGeometry/syntheticgeometry_32153.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3805, "image": "images/SyntheticGeometry/syntheticgeometry_19811noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3806, "image": "images/SyntheticGeometry/syntheticgeometry_15719noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3807, "image": "images/SyntheticGeometry/syntheticgeometry_26386noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3808, "image": "images/SyntheticGeometry/syntheticgeometry_26569.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3809, "image": "images/SyntheticGeometry/syntheticgeometry_16813noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3810, "image": "images/SyntheticGeometry/syntheticgeometry_42620noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3811, "image": "images/SyntheticGeometry/syntheticgeometry_23661.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3812, "image": "images/SyntheticGeometry/syntheticgeometry_19204noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3813, "image": "images/SyntheticGeometry/syntheticgeometry_34036noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3814, "image": "images/SyntheticGeometry/syntheticgeometry_11951.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3815, "image": "images/SyntheticGeometry/syntheticgeometry_42653.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3816, "image": "images/SyntheticGeometry/syntheticgeometry_47439noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3817, "image": "images/SyntheticGeometry/syntheticgeometry_09149noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3818, "image": "images/SyntheticGeometry/syntheticgeometry_41363noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3819, "image": "images/SyntheticGeometry/syntheticgeometry_29043noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3820, "image": "images/SyntheticGeometry/syntheticgeometry_03247noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3821, "image": "images/SyntheticGeometry/syntheticgeometry_27822noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3822, "image": "images/SyntheticGeometry/syntheticgeometry_11570noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3823, "image": "images/SyntheticGeometry/syntheticgeometry_22102.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3824, "image": "images/SyntheticGeometry/syntheticgeometry_41339noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3825, "image": "images/SyntheticGeometry/syntheticgeometry_47176.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3826, "image": "images/SyntheticGeometry/syntheticgeometry_23933noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3827, "image": "images/SyntheticGeometry/syntheticgeometry_47058noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3828, "image": "images/SyntheticGeometry/syntheticgeometry_40393noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3829, "image": "images/SyntheticGeometry/syntheticgeometry_32404.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3830, "image": "images/SyntheticGeometry/syntheticgeometry_10758noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3831, "image": "images/SyntheticGeometry/syntheticgeometry_30010noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3832, "image": "images/SyntheticGeometry/syntheticgeometry_23771noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3833, "image": "images/SyntheticGeometry/syntheticgeometry_22192noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3834, "image": "images/SyntheticGeometry/syntheticgeometry_24018noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3835, "image": "images/SyntheticGeometry/syntheticgeometry_31042.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3836, "image": "images/SyntheticGeometry/syntheticgeometry_29641.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3837, "image": "images/SyntheticGeometry/syntheticgeometry_08802noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3838, "image": "images/SyntheticGeometry/syntheticgeometry_14845noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3839, "image": "images/SyntheticGeometry/syntheticgeometry_34285noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3840, "image": "images/SyntheticGeometry/syntheticgeometry_25567.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3841, "image": "images/SyntheticGeometry/syntheticgeometry_12380noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3842, "image": "images/SyntheticGeometry/syntheticgeometry_43504noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3843, "image": "images/SyntheticGeometry/syntheticgeometry_39344noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3844, "image": "images/SyntheticGeometry/syntheticgeometry_15673.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3845, "image": "images/SyntheticGeometry/syntheticgeometry_31663noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3846, "image": "images/SyntheticGeometry/syntheticgeometry_35622noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3847, "image": "images/SyntheticGeometry/syntheticgeometry_16530noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3848, "image": "images/SyntheticGeometry/syntheticgeometry_10775noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3849, "image": "images/SyntheticGeometry/syntheticgeometry_09614noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3850, "image": "images/SyntheticGeometry/syntheticgeometry_06143.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3851, "image": "images/SyntheticGeometry/syntheticgeometry_43334.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3852, "image": "images/SyntheticGeometry/syntheticgeometry_42022.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3853, "image": "images/SyntheticGeometry/syntheticgeometry_15620noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3854, "image": "images/SyntheticGeometry/syntheticgeometry_13883.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3855, "image": "images/SyntheticGeometry/syntheticgeometry_26771.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3856, "image": "images/SyntheticGeometry/syntheticgeometry_36356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3857, "image": "images/SyntheticGeometry/syntheticgeometry_19863.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3858, "image": "images/SyntheticGeometry/syntheticgeometry_20582noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3859, "image": "images/SyntheticGeometry/syntheticgeometry_34934noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3860, "image": "images/SyntheticGeometry/syntheticgeometry_08873.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3861, "image": "images/SyntheticGeometry/syntheticgeometry_39338noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3862, "image": "images/SyntheticGeometry/syntheticgeometry_43745noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3863, "image": "images/SyntheticGeometry/syntheticgeometry_48814.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3864, "image": "images/SyntheticGeometry/syntheticgeometry_17581noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3865, "image": "images/SyntheticGeometry/syntheticgeometry_35371.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3866, "image": "images/SyntheticGeometry/syntheticgeometry_20944.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3867, "image": "images/SyntheticGeometry/syntheticgeometry_43238.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3868, "image": "images/SyntheticGeometry/syntheticgeometry_16491noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3869, "image": "images/SyntheticGeometry/syntheticgeometry_27062.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3870, "image": "images/SyntheticGeometry/syntheticgeometry_46659noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3871, "image": "images/SyntheticGeometry/syntheticgeometry_47936noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3872, "image": "images/SyntheticGeometry/syntheticgeometry_47648.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3873, "image": "images/SyntheticGeometry/syntheticgeometry_03537noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3874, "image": "images/SyntheticGeometry/syntheticgeometry_43343.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3875, "image": "images/SyntheticGeometry/syntheticgeometry_43291noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3876, "image": "images/SyntheticGeometry/syntheticgeometry_45953.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3877, "image": "images/SyntheticGeometry/syntheticgeometry_27983noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3878, "image": "images/SyntheticGeometry/syntheticgeometry_12083.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3879, "image": "images/SyntheticGeometry/syntheticgeometry_03857noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3880, "image": "images/SyntheticGeometry/syntheticgeometry_06950noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3881, "image": "images/SyntheticGeometry/syntheticgeometry_18079noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3882, "image": "images/SyntheticGeometry/syntheticgeometry_35110noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3883, "image": "images/SyntheticGeometry/syntheticgeometry_27122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3884, "image": "images/SyntheticGeometry/syntheticgeometry_06576.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3885, "image": "images/SyntheticGeometry/syntheticgeometry_02887noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3886, "image": "images/SyntheticGeometry/syntheticgeometry_38456.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3887, "image": "images/SyntheticGeometry/syntheticgeometry_19749.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3888, "image": "images/SyntheticGeometry/syntheticgeometry_21102.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3889, "image": "images/SyntheticGeometry/syntheticgeometry_11449noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3890, "image": "images/SyntheticGeometry/syntheticgeometry_14385noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3891, "image": "images/SyntheticGeometry/syntheticgeometry_05779noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3892, "image": "images/SyntheticGeometry/syntheticgeometry_24811.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3893, "image": "images/SyntheticGeometry/syntheticgeometry_26791noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3894, "image": "images/SyntheticGeometry/syntheticgeometry_11309.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3895, "image": "images/SyntheticGeometry/syntheticgeometry_46371noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3896, "image": "images/SyntheticGeometry/syntheticgeometry_24316noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3897, "image": "images/SyntheticGeometry/syntheticgeometry_08964noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3898, "image": "images/SyntheticGeometry/syntheticgeometry_16663noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ONM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3899, "image": "images/SyntheticGeometry/syntheticgeometry_29872noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3900, "image": "images/SyntheticGeometry/syntheticgeometry_28716.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3901, "image": "images/SyntheticGeometry/syntheticgeometry_03607.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3902, "image": "images/SyntheticGeometry/syntheticgeometry_24956noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3903, "image": "images/SyntheticGeometry/syntheticgeometry_48167noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3904, "image": "images/SyntheticGeometry/syntheticgeometry_05520noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3905, "image": "images/SyntheticGeometry/syntheticgeometry_21555noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3906, "image": "images/SyntheticGeometry/syntheticgeometry_39598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3907, "image": "images/SyntheticGeometry/syntheticgeometry_39511noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3908, "image": "images/SyntheticGeometry/syntheticgeometry_05700noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3909, "image": "images/SyntheticGeometry/syntheticgeometry_13454noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3910, "image": "images/SyntheticGeometry/syntheticgeometry_02743noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3911, "image": "images/SyntheticGeometry/syntheticgeometry_06188.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3912, "image": "images/SyntheticGeometry/syntheticgeometry_27300.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3913, "image": "images/SyntheticGeometry/syntheticgeometry_19748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3914, "image": "images/SyntheticGeometry/syntheticgeometry_49793noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3915, "image": "images/SyntheticGeometry/syntheticgeometry_47437noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3916, "image": "images/SyntheticGeometry/syntheticgeometry_03263noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3917, "image": "images/SyntheticGeometry/syntheticgeometry_36690noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3918, "image": "images/SyntheticGeometry/syntheticgeometry_39097noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3919, "image": "images/SyntheticGeometry/syntheticgeometry_02088noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3920, "image": "images/SyntheticGeometry/syntheticgeometry_33385noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3921, "image": "images/SyntheticGeometry/syntheticgeometry_32778noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3922, "image": "images/SyntheticGeometry/syntheticgeometry_41448noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3923, "image": "images/SyntheticGeometry/syntheticgeometry_16444.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3924, "image": "images/SyntheticGeometry/syntheticgeometry_24998noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3925, "image": "images/SyntheticGeometry/syntheticgeometry_26315.png", "conversations": [{"from": "human", "value": "\nThere is no triangle PBN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3926, "image": "images/SyntheticGeometry/syntheticgeometry_34365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3927, "image": "images/SyntheticGeometry/syntheticgeometry_46019noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3928, "image": "images/SyntheticGeometry/syntheticgeometry_40637.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3929, "image": "images/SyntheticGeometry/syntheticgeometry_42358.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BLF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3930, "image": "images/SyntheticGeometry/syntheticgeometry_05076noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3931, "image": "images/SyntheticGeometry/syntheticgeometry_48725.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3932, "image": "images/SyntheticGeometry/syntheticgeometry_04461.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3933, "image": "images/SyntheticGeometry/syntheticgeometry_25523.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3934, "image": "images/SyntheticGeometry/syntheticgeometry_33321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3935, "image": "images/SyntheticGeometry/syntheticgeometry_30368.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3936, "image": "images/SyntheticGeometry/syntheticgeometry_02360noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3937, "image": "images/SyntheticGeometry/syntheticgeometry_09173noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3938, "image": "images/SyntheticGeometry/syntheticgeometry_24180.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3939, "image": "images/SyntheticGeometry/syntheticgeometry_29302.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3940, "image": "images/SyntheticGeometry/syntheticgeometry_17599noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3941, "image": "images/SyntheticGeometry/syntheticgeometry_38278.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3942, "image": "images/SyntheticGeometry/syntheticgeometry_37297noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LDK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3943, "image": "images/SyntheticGeometry/syntheticgeometry_29394.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3944, "image": "images/SyntheticGeometry/syntheticgeometry_05120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3945, "image": "images/SyntheticGeometry/syntheticgeometry_09596noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3946, "image": "images/SyntheticGeometry/syntheticgeometry_30620noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3947, "image": "images/SyntheticGeometry/syntheticgeometry_43397.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3948, "image": "images/SyntheticGeometry/syntheticgeometry_48823noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3949, "image": "images/SyntheticGeometry/syntheticgeometry_42997noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3950, "image": "images/SyntheticGeometry/syntheticgeometry_19479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3951, "image": "images/SyntheticGeometry/syntheticgeometry_42870noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3952, "image": "images/SyntheticGeometry/syntheticgeometry_07184noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3953, "image": "images/SyntheticGeometry/syntheticgeometry_42921noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3954, "image": "images/SyntheticGeometry/syntheticgeometry_43147noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3955, "image": "images/SyntheticGeometry/syntheticgeometry_26405.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3956, "image": "images/SyntheticGeometry/syntheticgeometry_42394noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3957, "image": "images/SyntheticGeometry/syntheticgeometry_03574noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3958, "image": "images/SyntheticGeometry/syntheticgeometry_18496noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3959, "image": "images/SyntheticGeometry/syntheticgeometry_32083noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3960, "image": "images/SyntheticGeometry/syntheticgeometry_02719noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3961, "image": "images/SyntheticGeometry/syntheticgeometry_17743noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3962, "image": "images/SyntheticGeometry/syntheticgeometry_13444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3963, "image": "images/SyntheticGeometry/syntheticgeometry_42323noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3964, "image": "images/SyntheticGeometry/syntheticgeometry_14577noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3965, "image": "images/SyntheticGeometry/syntheticgeometry_03890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3966, "image": "images/SyntheticGeometry/syntheticgeometry_07270noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3967, "image": "images/SyntheticGeometry/syntheticgeometry_18756.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3968, "image": "images/SyntheticGeometry/syntheticgeometry_44603noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3969, "image": "images/SyntheticGeometry/syntheticgeometry_41580noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3970, "image": "images/SyntheticGeometry/syntheticgeometry_11686noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3971, "image": "images/SyntheticGeometry/syntheticgeometry_19483.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3972, "image": "images/SyntheticGeometry/syntheticgeometry_07738.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AJE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3973, "image": "images/SyntheticGeometry/syntheticgeometry_35964noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3974, "image": "images/SyntheticGeometry/syntheticgeometry_47043noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AJE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3975, "image": "images/SyntheticGeometry/syntheticgeometry_24940.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3976, "image": "images/SyntheticGeometry/syntheticgeometry_32298noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3977, "image": "images/SyntheticGeometry/syntheticgeometry_43295.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3978, "image": "images/SyntheticGeometry/syntheticgeometry_14188.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3979, "image": "images/SyntheticGeometry/syntheticgeometry_30317.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3980, "image": "images/SyntheticGeometry/syntheticgeometry_26287noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3981, "image": "images/SyntheticGeometry/syntheticgeometry_19564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3982, "image": "images/SyntheticGeometry/syntheticgeometry_42537noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3983, "image": "images/SyntheticGeometry/syntheticgeometry_02168.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3984, "image": "images/SyntheticGeometry/syntheticgeometry_49998.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3985, "image": "images/SyntheticGeometry/syntheticgeometry_19430noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3986, "image": "images/SyntheticGeometry/syntheticgeometry_32798noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle SMK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3987, "image": "images/SyntheticGeometry/syntheticgeometry_39891noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3988, "image": "images/SyntheticGeometry/syntheticgeometry_38677noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3989, "image": "images/SyntheticGeometry/syntheticgeometry_35613noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3990, "image": "images/SyntheticGeometry/syntheticgeometry_07006.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3991, "image": "images/SyntheticGeometry/syntheticgeometry_42833noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3992, "image": "images/SyntheticGeometry/syntheticgeometry_45522noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3993, "image": "images/SyntheticGeometry/syntheticgeometry_46867.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3994, "image": "images/SyntheticGeometry/syntheticgeometry_13345noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3995, "image": "images/SyntheticGeometry/syntheticgeometry_24709noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3996, "image": "images/SyntheticGeometry/syntheticgeometry_18506noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CLN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3997, "image": "images/SyntheticGeometry/syntheticgeometry_43197noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3998, "image": "images/SyntheticGeometry/syntheticgeometry_23494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 3999, "image": "images/SyntheticGeometry/syntheticgeometry_22354.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4000, "image": "images/SyntheticGeometry/syntheticgeometry_06943noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4001, "image": "images/SyntheticGeometry/syntheticgeometry_09966noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4002, "image": "images/SyntheticGeometry/syntheticgeometry_41226.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4003, "image": "images/SyntheticGeometry/syntheticgeometry_15622noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4004, "image": "images/SyntheticGeometry/syntheticgeometry_40349noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4005, "image": "images/SyntheticGeometry/syntheticgeometry_40791.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4006, "image": "images/SyntheticGeometry/syntheticgeometry_28623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4007, "image": "images/SyntheticGeometry/syntheticgeometry_26387noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4008, "image": "images/SyntheticGeometry/syntheticgeometry_04910.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4009, "image": "images/SyntheticGeometry/syntheticgeometry_31425noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4010, "image": "images/SyntheticGeometry/syntheticgeometry_39919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4011, "image": "images/SyntheticGeometry/syntheticgeometry_12980noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4012, "image": "images/SyntheticGeometry/syntheticgeometry_43408noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4013, "image": "images/SyntheticGeometry/syntheticgeometry_19053.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4014, "image": "images/SyntheticGeometry/syntheticgeometry_13555noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4015, "image": "images/SyntheticGeometry/syntheticgeometry_03670noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NLM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4016, "image": "images/SyntheticGeometry/syntheticgeometry_49649.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4017, "image": "images/SyntheticGeometry/syntheticgeometry_20946noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4018, "image": "images/SyntheticGeometry/syntheticgeometry_17102noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4019, "image": "images/SyntheticGeometry/syntheticgeometry_38146.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4020, "image": "images/SyntheticGeometry/syntheticgeometry_31471noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4021, "image": "images/SyntheticGeometry/syntheticgeometry_13026.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4022, "image": "images/SyntheticGeometry/syntheticgeometry_42331noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4023, "image": "images/SyntheticGeometry/syntheticgeometry_19247noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4024, "image": "images/SyntheticGeometry/syntheticgeometry_30495noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4025, "image": "images/SyntheticGeometry/syntheticgeometry_12181.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4026, "image": "images/SyntheticGeometry/syntheticgeometry_03954noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4027, "image": "images/SyntheticGeometry/syntheticgeometry_45379noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4028, "image": "images/SyntheticGeometry/syntheticgeometry_16260noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4029, "image": "images/SyntheticGeometry/syntheticgeometry_24547noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4030, "image": "images/SyntheticGeometry/syntheticgeometry_08012noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4031, "image": "images/SyntheticGeometry/syntheticgeometry_18293.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GMA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4032, "image": "images/SyntheticGeometry/syntheticgeometry_48590noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4033, "image": "images/SyntheticGeometry/syntheticgeometry_46356.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4034, "image": "images/SyntheticGeometry/syntheticgeometry_27118noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4035, "image": "images/SyntheticGeometry/syntheticgeometry_21480noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4036, "image": "images/SyntheticGeometry/syntheticgeometry_25044noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4037, "image": "images/SyntheticGeometry/syntheticgeometry_39218noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4038, "image": "images/SyntheticGeometry/syntheticgeometry_12976.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4039, "image": "images/SyntheticGeometry/syntheticgeometry_45462.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4040, "image": "images/SyntheticGeometry/syntheticgeometry_25906noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4041, "image": "images/SyntheticGeometry/syntheticgeometry_22200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4042, "image": "images/SyntheticGeometry/syntheticgeometry_29259.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4043, "image": "images/SyntheticGeometry/syntheticgeometry_27408noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4044, "image": "images/SyntheticGeometry/syntheticgeometry_30886noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4045, "image": "images/SyntheticGeometry/syntheticgeometry_06018.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4046, "image": "images/SyntheticGeometry/syntheticgeometry_42430.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4047, "image": "images/SyntheticGeometry/syntheticgeometry_19646.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4048, "image": "images/SyntheticGeometry/syntheticgeometry_25015.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4049, "image": "images/SyntheticGeometry/syntheticgeometry_20518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4050, "image": "images/SyntheticGeometry/syntheticgeometry_22154.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4051, "image": "images/SyntheticGeometry/syntheticgeometry_15640noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4052, "image": "images/SyntheticGeometry/syntheticgeometry_28684noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4053, "image": "images/SyntheticGeometry/syntheticgeometry_08840noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4054, "image": "images/SyntheticGeometry/syntheticgeometry_06906noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4055, "image": "images/SyntheticGeometry/syntheticgeometry_36841noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4056, "image": "images/SyntheticGeometry/syntheticgeometry_41061.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4057, "image": "images/SyntheticGeometry/syntheticgeometry_05661noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4058, "image": "images/SyntheticGeometry/syntheticgeometry_41809noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4059, "image": "images/SyntheticGeometry/syntheticgeometry_32431noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4060, "image": "images/SyntheticGeometry/syntheticgeometry_39818noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4061, "image": "images/SyntheticGeometry/syntheticgeometry_13169.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4062, "image": "images/SyntheticGeometry/syntheticgeometry_38551.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4063, "image": "images/SyntheticGeometry/syntheticgeometry_46104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4064, "image": "images/SyntheticGeometry/syntheticgeometry_33952noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4065, "image": "images/SyntheticGeometry/syntheticgeometry_36849noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4066, "image": "images/SyntheticGeometry/syntheticgeometry_43428.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4067, "image": "images/SyntheticGeometry/syntheticgeometry_03507noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4068, "image": "images/SyntheticGeometry/syntheticgeometry_47545noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4069, "image": "images/SyntheticGeometry/syntheticgeometry_39481noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle END in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4070, "image": "images/SyntheticGeometry/syntheticgeometry_25036.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4071, "image": "images/SyntheticGeometry/syntheticgeometry_42365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4072, "image": "images/SyntheticGeometry/syntheticgeometry_33146noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4073, "image": "images/SyntheticGeometry/syntheticgeometry_34711noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4074, "image": "images/SyntheticGeometry/syntheticgeometry_48483noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4075, "image": "images/SyntheticGeometry/syntheticgeometry_41656.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4076, "image": "images/SyntheticGeometry/syntheticgeometry_08919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4077, "image": "images/SyntheticGeometry/syntheticgeometry_34234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4078, "image": "images/SyntheticGeometry/syntheticgeometry_30021.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4079, "image": "images/SyntheticGeometry/syntheticgeometry_19721.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4080, "image": "images/SyntheticGeometry/syntheticgeometry_18817noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4081, "image": "images/SyntheticGeometry/syntheticgeometry_24680.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4082, "image": "images/SyntheticGeometry/syntheticgeometry_13659noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4083, "image": "images/SyntheticGeometry/syntheticgeometry_23204noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4084, "image": "images/SyntheticGeometry/syntheticgeometry_29929noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4085, "image": "images/SyntheticGeometry/syntheticgeometry_04014noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4086, "image": "images/SyntheticGeometry/syntheticgeometry_49618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4087, "image": "images/SyntheticGeometry/syntheticgeometry_49009noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4088, "image": "images/SyntheticGeometry/syntheticgeometry_26857noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4089, "image": "images/SyntheticGeometry/syntheticgeometry_31975noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4090, "image": "images/SyntheticGeometry/syntheticgeometry_08952.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4091, "image": "images/SyntheticGeometry/syntheticgeometry_19375.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4092, "image": "images/SyntheticGeometry/syntheticgeometry_24049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4093, "image": "images/SyntheticGeometry/syntheticgeometry_22003.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4094, "image": "images/SyntheticGeometry/syntheticgeometry_11163noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4095, "image": "images/SyntheticGeometry/syntheticgeometry_26336noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4096, "image": "images/SyntheticGeometry/syntheticgeometry_12597noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4097, "image": "images/SyntheticGeometry/syntheticgeometry_36211noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4098, "image": "images/SyntheticGeometry/syntheticgeometry_02592noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4099, "image": "images/SyntheticGeometry/syntheticgeometry_21952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4100, "image": "images/SyntheticGeometry/syntheticgeometry_31572noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4101, "image": "images/SyntheticGeometry/syntheticgeometry_34449noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4102, "image": "images/SyntheticGeometry/syntheticgeometry_20194noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4103, "image": "images/SyntheticGeometry/syntheticgeometry_34345noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4104, "image": "images/SyntheticGeometry/syntheticgeometry_04714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4105, "image": "images/SyntheticGeometry/syntheticgeometry_49770noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LIR in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4106, "image": "images/SyntheticGeometry/syntheticgeometry_08791noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4107, "image": "images/SyntheticGeometry/syntheticgeometry_11006noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4108, "image": "images/SyntheticGeometry/syntheticgeometry_09293.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4109, "image": "images/SyntheticGeometry/syntheticgeometry_19160.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4110, "image": "images/SyntheticGeometry/syntheticgeometry_32373noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4111, "image": "images/SyntheticGeometry/syntheticgeometry_33054noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4112, "image": "images/SyntheticGeometry/syntheticgeometry_43012noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4113, "image": "images/SyntheticGeometry/syntheticgeometry_31560.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4114, "image": "images/SyntheticGeometry/syntheticgeometry_16277noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4115, "image": "images/SyntheticGeometry/syntheticgeometry_23222.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4116, "image": "images/SyntheticGeometry/syntheticgeometry_41251noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4117, "image": "images/SyntheticGeometry/syntheticgeometry_05041.png", "conversations": [{"from": "human", "value": "\nThere is no triangle PGR in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4118, "image": "images/SyntheticGeometry/syntheticgeometry_33077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4119, "image": "images/SyntheticGeometry/syntheticgeometry_33234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4120, "image": "images/SyntheticGeometry/syntheticgeometry_02186.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4121, "image": "images/SyntheticGeometry/syntheticgeometry_07945noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4122, "image": "images/SyntheticGeometry/syntheticgeometry_35182noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4123, "image": "images/SyntheticGeometry/syntheticgeometry_24750.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4124, "image": "images/SyntheticGeometry/syntheticgeometry_19789.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4125, "image": "images/SyntheticGeometry/syntheticgeometry_15064noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4126, "image": "images/SyntheticGeometry/syntheticgeometry_49100noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4127, "image": "images/SyntheticGeometry/syntheticgeometry_21546noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4128, "image": "images/SyntheticGeometry/syntheticgeometry_11776.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4129, "image": "images/SyntheticGeometry/syntheticgeometry_05797noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4130, "image": "images/SyntheticGeometry/syntheticgeometry_17538.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4131, "image": "images/SyntheticGeometry/syntheticgeometry_17037noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4132, "image": "images/SyntheticGeometry/syntheticgeometry_06270noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4133, "image": "images/SyntheticGeometry/syntheticgeometry_11489.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4134, "image": "images/SyntheticGeometry/syntheticgeometry_45378noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4135, "image": "images/SyntheticGeometry/syntheticgeometry_26881noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4136, "image": "images/SyntheticGeometry/syntheticgeometry_43404.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4137, "image": "images/SyntheticGeometry/syntheticgeometry_23900.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4138, "image": "images/SyntheticGeometry/syntheticgeometry_08195noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4139, "image": "images/SyntheticGeometry/syntheticgeometry_08433noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4140, "image": "images/SyntheticGeometry/syntheticgeometry_19910.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4141, "image": "images/SyntheticGeometry/syntheticgeometry_43899noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4142, "image": "images/SyntheticGeometry/syntheticgeometry_36134noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4143, "image": "images/SyntheticGeometry/syntheticgeometry_08191noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4144, "image": "images/SyntheticGeometry/syntheticgeometry_06848noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4145, "image": "images/SyntheticGeometry/syntheticgeometry_37402noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4146, "image": "images/SyntheticGeometry/syntheticgeometry_16825.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4147, "image": "images/SyntheticGeometry/syntheticgeometry_32554.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4148, "image": "images/SyntheticGeometry/syntheticgeometry_14917.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4149, "image": "images/SyntheticGeometry/syntheticgeometry_15613.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4150, "image": "images/SyntheticGeometry/syntheticgeometry_38416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4151, "image": "images/SyntheticGeometry/syntheticgeometry_43687.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4152, "image": "images/SyntheticGeometry/syntheticgeometry_17650noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4153, "image": "images/SyntheticGeometry/syntheticgeometry_14777.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4154, "image": "images/SyntheticGeometry/syntheticgeometry_16944.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4155, "image": "images/SyntheticGeometry/syntheticgeometry_44652noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MLD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4156, "image": "images/SyntheticGeometry/syntheticgeometry_22088noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4157, "image": "images/SyntheticGeometry/syntheticgeometry_24030.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4158, "image": "images/SyntheticGeometry/syntheticgeometry_35244noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4159, "image": "images/SyntheticGeometry/syntheticgeometry_10894noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4160, "image": "images/SyntheticGeometry/syntheticgeometry_18929noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4161, "image": "images/SyntheticGeometry/syntheticgeometry_05974noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4162, "image": "images/SyntheticGeometry/syntheticgeometry_25612.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4163, "image": "images/SyntheticGeometry/syntheticgeometry_10581.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4164, "image": "images/SyntheticGeometry/syntheticgeometry_20073.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4165, "image": "images/SyntheticGeometry/syntheticgeometry_26138.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4166, "image": "images/SyntheticGeometry/syntheticgeometry_20017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4167, "image": "images/SyntheticGeometry/syntheticgeometry_48219noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4168, "image": "images/SyntheticGeometry/syntheticgeometry_22335.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4169, "image": "images/SyntheticGeometry/syntheticgeometry_10811noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4170, "image": "images/SyntheticGeometry/syntheticgeometry_22732noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4171, "image": "images/SyntheticGeometry/syntheticgeometry_19919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4172, "image": "images/SyntheticGeometry/syntheticgeometry_36960noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4173, "image": "images/SyntheticGeometry/syntheticgeometry_08441.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4174, "image": "images/SyntheticGeometry/syntheticgeometry_08621.png", "conversations": [{"from": "human", "value": "\nThere is no triangle LHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4175, "image": "images/SyntheticGeometry/syntheticgeometry_28841noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4176, "image": "images/SyntheticGeometry/syntheticgeometry_22679noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4177, "image": "images/SyntheticGeometry/syntheticgeometry_12325noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4178, "image": "images/SyntheticGeometry/syntheticgeometry_36307.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4179, "image": "images/SyntheticGeometry/syntheticgeometry_21878.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4180, "image": "images/SyntheticGeometry/syntheticgeometry_29745.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4181, "image": "images/SyntheticGeometry/syntheticgeometry_12571.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4182, "image": "images/SyntheticGeometry/syntheticgeometry_39581noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4183, "image": "images/SyntheticGeometry/syntheticgeometry_40833.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4184, "image": "images/SyntheticGeometry/syntheticgeometry_35354noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4185, "image": "images/SyntheticGeometry/syntheticgeometry_31632noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4186, "image": "images/SyntheticGeometry/syntheticgeometry_41689noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4187, "image": "images/SyntheticGeometry/syntheticgeometry_15259noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4188, "image": "images/SyntheticGeometry/syntheticgeometry_08442noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4189, "image": "images/SyntheticGeometry/syntheticgeometry_07097noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4190, "image": "images/SyntheticGeometry/syntheticgeometry_23485noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4191, "image": "images/SyntheticGeometry/syntheticgeometry_12180noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4192, "image": "images/SyntheticGeometry/syntheticgeometry_24292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4193, "image": "images/SyntheticGeometry/syntheticgeometry_07300.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4194, "image": "images/SyntheticGeometry/syntheticgeometry_45403noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4195, "image": "images/SyntheticGeometry/syntheticgeometry_18707noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4196, "image": "images/SyntheticGeometry/syntheticgeometry_40823noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4197, "image": "images/SyntheticGeometry/syntheticgeometry_47965noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4198, "image": "images/SyntheticGeometry/syntheticgeometry_02203noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4199, "image": "images/SyntheticGeometry/syntheticgeometry_49414noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4200, "image": "images/SyntheticGeometry/syntheticgeometry_39971noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4201, "image": "images/SyntheticGeometry/syntheticgeometry_48729noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4202, "image": "images/SyntheticGeometry/syntheticgeometry_09205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4203, "image": "images/SyntheticGeometry/syntheticgeometry_03402.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4204, "image": "images/SyntheticGeometry/syntheticgeometry_29240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4205, "image": "images/SyntheticGeometry/syntheticgeometry_37005.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4206, "image": "images/SyntheticGeometry/syntheticgeometry_30328noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4207, "image": "images/SyntheticGeometry/syntheticgeometry_33912.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4208, "image": "images/SyntheticGeometry/syntheticgeometry_48174noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4209, "image": "images/SyntheticGeometry/syntheticgeometry_02643.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4210, "image": "images/SyntheticGeometry/syntheticgeometry_22748.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4211, "image": "images/SyntheticGeometry/syntheticgeometry_40581noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4212, "image": "images/SyntheticGeometry/syntheticgeometry_23636.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4213, "image": "images/SyntheticGeometry/syntheticgeometry_22006noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4214, "image": "images/SyntheticGeometry/syntheticgeometry_23236noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4215, "image": "images/SyntheticGeometry/syntheticgeometry_43376.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4216, "image": "images/SyntheticGeometry/syntheticgeometry_08459.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4217, "image": "images/SyntheticGeometry/syntheticgeometry_42123noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4218, "image": "images/SyntheticGeometry/syntheticgeometry_46139.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4219, "image": "images/SyntheticGeometry/syntheticgeometry_02446.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4220, "image": "images/SyntheticGeometry/syntheticgeometry_34360noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4221, "image": "images/SyntheticGeometry/syntheticgeometry_41808noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4222, "image": "images/SyntheticGeometry/syntheticgeometry_20377.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4223, "image": "images/SyntheticGeometry/syntheticgeometry_13795noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4224, "image": "images/SyntheticGeometry/syntheticgeometry_41284noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4225, "image": "images/SyntheticGeometry/syntheticgeometry_22207noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4226, "image": "images/SyntheticGeometry/syntheticgeometry_34021noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4227, "image": "images/SyntheticGeometry/syntheticgeometry_22418noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4228, "image": "images/SyntheticGeometry/syntheticgeometry_26668noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4229, "image": "images/SyntheticGeometry/syntheticgeometry_49772noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4230, "image": "images/SyntheticGeometry/syntheticgeometry_35981noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4231, "image": "images/SyntheticGeometry/syntheticgeometry_40364noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4232, "image": "images/SyntheticGeometry/syntheticgeometry_40457.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4233, "image": "images/SyntheticGeometry/syntheticgeometry_40507.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4234, "image": "images/SyntheticGeometry/syntheticgeometry_34114.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4235, "image": "images/SyntheticGeometry/syntheticgeometry_41825noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4236, "image": "images/SyntheticGeometry/syntheticgeometry_17453noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4237, "image": "images/SyntheticGeometry/syntheticgeometry_30672.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4238, "image": "images/SyntheticGeometry/syntheticgeometry_19942.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4239, "image": "images/SyntheticGeometry/syntheticgeometry_42306noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4240, "image": "images/SyntheticGeometry/syntheticgeometry_18003noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4241, "image": "images/SyntheticGeometry/syntheticgeometry_42666.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4242, "image": "images/SyntheticGeometry/syntheticgeometry_03871noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4243, "image": "images/SyntheticGeometry/syntheticgeometry_26459noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EPM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4244, "image": "images/SyntheticGeometry/syntheticgeometry_43816.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4245, "image": "images/SyntheticGeometry/syntheticgeometry_45448noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4246, "image": "images/SyntheticGeometry/syntheticgeometry_15510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4247, "image": "images/SyntheticGeometry/syntheticgeometry_12328noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4248, "image": "images/SyntheticGeometry/syntheticgeometry_45159noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4249, "image": "images/SyntheticGeometry/syntheticgeometry_38592.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4250, "image": "images/SyntheticGeometry/syntheticgeometry_34976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4251, "image": "images/SyntheticGeometry/syntheticgeometry_16666noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4252, "image": "images/SyntheticGeometry/syntheticgeometry_32154noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4253, "image": "images/SyntheticGeometry/syntheticgeometry_21537noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4254, "image": "images/SyntheticGeometry/syntheticgeometry_35891.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4255, "image": "images/SyntheticGeometry/syntheticgeometry_27361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4256, "image": "images/SyntheticGeometry/syntheticgeometry_41129noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4257, "image": "images/SyntheticGeometry/syntheticgeometry_14361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MPN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4258, "image": "images/SyntheticGeometry/syntheticgeometry_18887noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle INM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4259, "image": "images/SyntheticGeometry/syntheticgeometry_48325.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4260, "image": "images/SyntheticGeometry/syntheticgeometry_29031noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4261, "image": "images/SyntheticGeometry/syntheticgeometry_20141noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4262, "image": "images/SyntheticGeometry/syntheticgeometry_17531.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DBN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4263, "image": "images/SyntheticGeometry/syntheticgeometry_19187noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4264, "image": "images/SyntheticGeometry/syntheticgeometry_23039noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4265, "image": "images/SyntheticGeometry/syntheticgeometry_06771noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4266, "image": "images/SyntheticGeometry/syntheticgeometry_43458.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4267, "image": "images/SyntheticGeometry/syntheticgeometry_37548.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4268, "image": "images/SyntheticGeometry/syntheticgeometry_29480.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4269, "image": "images/SyntheticGeometry/syntheticgeometry_23648noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4270, "image": "images/SyntheticGeometry/syntheticgeometry_06569noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4271, "image": "images/SyntheticGeometry/syntheticgeometry_03213noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4272, "image": "images/SyntheticGeometry/syntheticgeometry_10240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4273, "image": "images/SyntheticGeometry/syntheticgeometry_13481noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4274, "image": "images/SyntheticGeometry/syntheticgeometry_14192noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4275, "image": "images/SyntheticGeometry/syntheticgeometry_41071noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4276, "image": "images/SyntheticGeometry/syntheticgeometry_09280noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4277, "image": "images/SyntheticGeometry/syntheticgeometry_47669noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4278, "image": "images/SyntheticGeometry/syntheticgeometry_48472.png", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4279, "image": "images/SyntheticGeometry/syntheticgeometry_38461.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4280, "image": "images/SyntheticGeometry/syntheticgeometry_12773noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4281, "image": "images/SyntheticGeometry/syntheticgeometry_12308.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4282, "image": "images/SyntheticGeometry/syntheticgeometry_48306.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4283, "image": "images/SyntheticGeometry/syntheticgeometry_14768noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4284, "image": "images/SyntheticGeometry/syntheticgeometry_37984noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4285, "image": "images/SyntheticGeometry/syntheticgeometry_48144noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4286, "image": "images/SyntheticGeometry/syntheticgeometry_15041noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4287, "image": "images/SyntheticGeometry/syntheticgeometry_02367noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4288, "image": "images/SyntheticGeometry/syntheticgeometry_02957.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4289, "image": "images/SyntheticGeometry/syntheticgeometry_21726noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4290, "image": "images/SyntheticGeometry/syntheticgeometry_21519noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4291, "image": "images/SyntheticGeometry/syntheticgeometry_40190noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4292, "image": "images/SyntheticGeometry/syntheticgeometry_12155noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4293, "image": "images/SyntheticGeometry/syntheticgeometry_15054noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4294, "image": "images/SyntheticGeometry/syntheticgeometry_29551noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4295, "image": "images/SyntheticGeometry/syntheticgeometry_32314noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4296, "image": "images/SyntheticGeometry/syntheticgeometry_11301noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4297, "image": "images/SyntheticGeometry/syntheticgeometry_09138noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4298, "image": "images/SyntheticGeometry/syntheticgeometry_26031.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4299, "image": "images/SyntheticGeometry/syntheticgeometry_41912.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4300, "image": "images/SyntheticGeometry/syntheticgeometry_28759noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4301, "image": "images/SyntheticGeometry/syntheticgeometry_02478noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4302, "image": "images/SyntheticGeometry/syntheticgeometry_49234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4303, "image": "images/SyntheticGeometry/syntheticgeometry_18652noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4304, "image": "images/SyntheticGeometry/syntheticgeometry_02767noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4305, "image": "images/SyntheticGeometry/syntheticgeometry_21589.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4306, "image": "images/SyntheticGeometry/syntheticgeometry_16697noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4307, "image": "images/SyntheticGeometry/syntheticgeometry_45580noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4308, "image": "images/SyntheticGeometry/syntheticgeometry_23574noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4309, "image": "images/SyntheticGeometry/syntheticgeometry_18627noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4310, "image": "images/SyntheticGeometry/syntheticgeometry_15251.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4311, "image": "images/SyntheticGeometry/syntheticgeometry_40051noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4312, "image": "images/SyntheticGeometry/syntheticgeometry_12469.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4313, "image": "images/SyntheticGeometry/syntheticgeometry_46433noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4314, "image": "images/SyntheticGeometry/syntheticgeometry_43587noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4315, "image": "images/SyntheticGeometry/syntheticgeometry_32966noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4316, "image": "images/SyntheticGeometry/syntheticgeometry_18513noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4317, "image": "images/SyntheticGeometry/syntheticgeometry_32119noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4318, "image": "images/SyntheticGeometry/syntheticgeometry_24345.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4319, "image": "images/SyntheticGeometry/syntheticgeometry_45760noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4320, "image": "images/SyntheticGeometry/syntheticgeometry_47123noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4321, "image": "images/SyntheticGeometry/syntheticgeometry_17773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4322, "image": "images/SyntheticGeometry/syntheticgeometry_03000noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4323, "image": "images/SyntheticGeometry/syntheticgeometry_23100.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4324, "image": "images/SyntheticGeometry/syntheticgeometry_25838noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4325, "image": "images/SyntheticGeometry/syntheticgeometry_22971noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4326, "image": "images/SyntheticGeometry/syntheticgeometry_42875noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FLM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4327, "image": "images/SyntheticGeometry/syntheticgeometry_14998noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4328, "image": "images/SyntheticGeometry/syntheticgeometry_35576noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4329, "image": "images/SyntheticGeometry/syntheticgeometry_41219.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4330, "image": "images/SyntheticGeometry/syntheticgeometry_31052noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4331, "image": "images/SyntheticGeometry/syntheticgeometry_44964.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4332, "image": "images/SyntheticGeometry/syntheticgeometry_41298.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4333, "image": "images/SyntheticGeometry/syntheticgeometry_21752.png", "conversations": [{"from": "human", "value": "\nThere is no triangle LCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4334, "image": "images/SyntheticGeometry/syntheticgeometry_39682noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4335, "image": "images/SyntheticGeometry/syntheticgeometry_11413.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4336, "image": "images/SyntheticGeometry/syntheticgeometry_24176noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4337, "image": "images/SyntheticGeometry/syntheticgeometry_15844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4338, "image": "images/SyntheticGeometry/syntheticgeometry_23432.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4339, "image": "images/SyntheticGeometry/syntheticgeometry_27564.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4340, "image": "images/SyntheticGeometry/syntheticgeometry_48965noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4341, "image": "images/SyntheticGeometry/syntheticgeometry_15900.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4342, "image": "images/SyntheticGeometry/syntheticgeometry_04460noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4343, "image": "images/SyntheticGeometry/syntheticgeometry_29339.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4344, "image": "images/SyntheticGeometry/syntheticgeometry_29680noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4345, "image": "images/SyntheticGeometry/syntheticgeometry_17196noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4346, "image": "images/SyntheticGeometry/syntheticgeometry_32075noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4347, "image": "images/SyntheticGeometry/syntheticgeometry_45262noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4348, "image": "images/SyntheticGeometry/syntheticgeometry_30843noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4349, "image": "images/SyntheticGeometry/syntheticgeometry_21663.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4350, "image": "images/SyntheticGeometry/syntheticgeometry_43018noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4351, "image": "images/SyntheticGeometry/syntheticgeometry_28913noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4352, "image": "images/SyntheticGeometry/syntheticgeometry_03788.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4353, "image": "images/SyntheticGeometry/syntheticgeometry_24952noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4354, "image": "images/SyntheticGeometry/syntheticgeometry_17807noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4355, "image": "images/SyntheticGeometry/syntheticgeometry_47541.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4356, "image": "images/SyntheticGeometry/syntheticgeometry_19425.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4357, "image": "images/SyntheticGeometry/syntheticgeometry_10151noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4358, "image": "images/SyntheticGeometry/syntheticgeometry_47642noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4359, "image": "images/SyntheticGeometry/syntheticgeometry_26306.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4360, "image": "images/SyntheticGeometry/syntheticgeometry_19993.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4361, "image": "images/SyntheticGeometry/syntheticgeometry_13524noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4362, "image": "images/SyntheticGeometry/syntheticgeometry_03355noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4363, "image": "images/SyntheticGeometry/syntheticgeometry_41395noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4364, "image": "images/SyntheticGeometry/syntheticgeometry_29779.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4365, "image": "images/SyntheticGeometry/syntheticgeometry_36155noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4366, "image": "images/SyntheticGeometry/syntheticgeometry_40073noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4367, "image": "images/SyntheticGeometry/syntheticgeometry_46575noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4368, "image": "images/SyntheticGeometry/syntheticgeometry_34193.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4369, "image": "images/SyntheticGeometry/syntheticgeometry_26244noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4370, "image": "images/SyntheticGeometry/syntheticgeometry_45075noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4371, "image": "images/SyntheticGeometry/syntheticgeometry_20541noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4372, "image": "images/SyntheticGeometry/syntheticgeometry_10054noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4373, "image": "images/SyntheticGeometry/syntheticgeometry_27508.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4374, "image": "images/SyntheticGeometry/syntheticgeometry_05163noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4375, "image": "images/SyntheticGeometry/syntheticgeometry_20324.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4376, "image": "images/SyntheticGeometry/syntheticgeometry_38388noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4377, "image": "images/SyntheticGeometry/syntheticgeometry_42649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4378, "image": "images/SyntheticGeometry/syntheticgeometry_32925noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4379, "image": "images/SyntheticGeometry/syntheticgeometry_12799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4380, "image": "images/SyntheticGeometry/syntheticgeometry_37394.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4381, "image": "images/SyntheticGeometry/syntheticgeometry_27412.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4382, "image": "images/SyntheticGeometry/syntheticgeometry_38799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4383, "image": "images/SyntheticGeometry/syntheticgeometry_33967noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4384, "image": "images/SyntheticGeometry/syntheticgeometry_04517noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4385, "image": "images/SyntheticGeometry/syntheticgeometry_24879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4386, "image": "images/SyntheticGeometry/syntheticgeometry_34069noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4387, "image": "images/SyntheticGeometry/syntheticgeometry_35502.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4388, "image": "images/SyntheticGeometry/syntheticgeometry_36839.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4389, "image": "images/SyntheticGeometry/syntheticgeometry_35370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4390, "image": "images/SyntheticGeometry/syntheticgeometry_16414noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4391, "image": "images/SyntheticGeometry/syntheticgeometry_47949.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4392, "image": "images/SyntheticGeometry/syntheticgeometry_19923noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NGO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4393, "image": "images/SyntheticGeometry/syntheticgeometry_17331noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DLC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4394, "image": "images/SyntheticGeometry/syntheticgeometry_47879noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4395, "image": "images/SyntheticGeometry/syntheticgeometry_29215.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4396, "image": "images/SyntheticGeometry/syntheticgeometry_22706noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4397, "image": "images/SyntheticGeometry/syntheticgeometry_47062noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4398, "image": "images/SyntheticGeometry/syntheticgeometry_19698noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4399, "image": "images/SyntheticGeometry/syntheticgeometry_41287noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4400, "image": "images/SyntheticGeometry/syntheticgeometry_34292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4401, "image": "images/SyntheticGeometry/syntheticgeometry_12510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4402, "image": "images/SyntheticGeometry/syntheticgeometry_04310.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4403, "image": "images/SyntheticGeometry/syntheticgeometry_44624noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4404, "image": "images/SyntheticGeometry/syntheticgeometry_43655.png", "conversations": [{"from": "human", "value": "\nThere is no triangle END in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4405, "image": "images/SyntheticGeometry/syntheticgeometry_21561.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4406, "image": "images/SyntheticGeometry/syntheticgeometry_42825noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4407, "image": "images/SyntheticGeometry/syntheticgeometry_42275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4408, "image": "images/SyntheticGeometry/syntheticgeometry_30223noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4409, "image": "images/SyntheticGeometry/syntheticgeometry_39055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4410, "image": "images/SyntheticGeometry/syntheticgeometry_30974noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4411, "image": "images/SyntheticGeometry/syntheticgeometry_29079noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4412, "image": "images/SyntheticGeometry/syntheticgeometry_35557noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4413, "image": "images/SyntheticGeometry/syntheticgeometry_16107.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4414, "image": "images/SyntheticGeometry/syntheticgeometry_19553.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4415, "image": "images/SyntheticGeometry/syntheticgeometry_28330.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4416, "image": "images/SyntheticGeometry/syntheticgeometry_35716.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4417, "image": "images/SyntheticGeometry/syntheticgeometry_46626.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4418, "image": "images/SyntheticGeometry/syntheticgeometry_25561noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4419, "image": "images/SyntheticGeometry/syntheticgeometry_18723.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4420, "image": "images/SyntheticGeometry/syntheticgeometry_04903.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4421, "image": "images/SyntheticGeometry/syntheticgeometry_27767.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4422, "image": "images/SyntheticGeometry/syntheticgeometry_07947noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4423, "image": "images/SyntheticGeometry/syntheticgeometry_07906noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4424, "image": "images/SyntheticGeometry/syntheticgeometry_21054noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4425, "image": "images/SyntheticGeometry/syntheticgeometry_35248noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4426, "image": "images/SyntheticGeometry/syntheticgeometry_09282noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4427, "image": "images/SyntheticGeometry/syntheticgeometry_04924.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4428, "image": "images/SyntheticGeometry/syntheticgeometry_37745noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4429, "image": "images/SyntheticGeometry/syntheticgeometry_19269noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4430, "image": "images/SyntheticGeometry/syntheticgeometry_02653noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4431, "image": "images/SyntheticGeometry/syntheticgeometry_02493noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4432, "image": "images/SyntheticGeometry/syntheticgeometry_13867.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4433, "image": "images/SyntheticGeometry/syntheticgeometry_49308noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4434, "image": "images/SyntheticGeometry/syntheticgeometry_40924noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4435, "image": "images/SyntheticGeometry/syntheticgeometry_34933noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4436, "image": "images/SyntheticGeometry/syntheticgeometry_34334noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LOM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4437, "image": "images/SyntheticGeometry/syntheticgeometry_46324.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4438, "image": "images/SyntheticGeometry/syntheticgeometry_11300.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4439, "image": "images/SyntheticGeometry/syntheticgeometry_21761noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4440, "image": "images/SyntheticGeometry/syntheticgeometry_04225noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4441, "image": "images/SyntheticGeometry/syntheticgeometry_03267noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4442, "image": "images/SyntheticGeometry/syntheticgeometry_04854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4443, "image": "images/SyntheticGeometry/syntheticgeometry_02716.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4444, "image": "images/SyntheticGeometry/syntheticgeometry_08090noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4445, "image": "images/SyntheticGeometry/syntheticgeometry_17033noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4446, "image": "images/SyntheticGeometry/syntheticgeometry_28261.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4447, "image": "images/SyntheticGeometry/syntheticgeometry_22577noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4448, "image": "images/SyntheticGeometry/syntheticgeometry_40694.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4449, "image": "images/SyntheticGeometry/syntheticgeometry_14146.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4450, "image": "images/SyntheticGeometry/syntheticgeometry_15959noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4451, "image": "images/SyntheticGeometry/syntheticgeometry_39657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4452, "image": "images/SyntheticGeometry/syntheticgeometry_42155noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4453, "image": "images/SyntheticGeometry/syntheticgeometry_10303.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4454, "image": "images/SyntheticGeometry/syntheticgeometry_14622noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4455, "image": "images/SyntheticGeometry/syntheticgeometry_43798.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4456, "image": "images/SyntheticGeometry/syntheticgeometry_19663.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4457, "image": "images/SyntheticGeometry/syntheticgeometry_14447noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4458, "image": "images/SyntheticGeometry/syntheticgeometry_49758noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LNH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4459, "image": "images/SyntheticGeometry/syntheticgeometry_07045noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4460, "image": "images/SyntheticGeometry/syntheticgeometry_19712noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4461, "image": "images/SyntheticGeometry/syntheticgeometry_38554noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NOF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4462, "image": "images/SyntheticGeometry/syntheticgeometry_18573noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4463, "image": "images/SyntheticGeometry/syntheticgeometry_46326noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4464, "image": "images/SyntheticGeometry/syntheticgeometry_33831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4465, "image": "images/SyntheticGeometry/syntheticgeometry_09588noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4466, "image": "images/SyntheticGeometry/syntheticgeometry_21211noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4467, "image": "images/SyntheticGeometry/syntheticgeometry_19776.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4468, "image": "images/SyntheticGeometry/syntheticgeometry_18728noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4469, "image": "images/SyntheticGeometry/syntheticgeometry_13706.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4470, "image": "images/SyntheticGeometry/syntheticgeometry_42836noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4471, "image": "images/SyntheticGeometry/syntheticgeometry_29051noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4472, "image": "images/SyntheticGeometry/syntheticgeometry_41981noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4473, "image": "images/SyntheticGeometry/syntheticgeometry_22462.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4474, "image": "images/SyntheticGeometry/syntheticgeometry_31512.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4475, "image": "images/SyntheticGeometry/syntheticgeometry_39674noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4476, "image": "images/SyntheticGeometry/syntheticgeometry_09221noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4477, "image": "images/SyntheticGeometry/syntheticgeometry_40771noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4478, "image": "images/SyntheticGeometry/syntheticgeometry_06885.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4479, "image": "images/SyntheticGeometry/syntheticgeometry_24386noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GDQ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4480, "image": "images/SyntheticGeometry/syntheticgeometry_30845noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4481, "image": "images/SyntheticGeometry/syntheticgeometry_21013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4482, "image": "images/SyntheticGeometry/syntheticgeometry_02974noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4483, "image": "images/SyntheticGeometry/syntheticgeometry_03378noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4484, "image": "images/SyntheticGeometry/syntheticgeometry_49420.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4485, "image": "images/SyntheticGeometry/syntheticgeometry_11023noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4486, "image": "images/SyntheticGeometry/syntheticgeometry_27598.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4487, "image": "images/SyntheticGeometry/syntheticgeometry_02442noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4488, "image": "images/SyntheticGeometry/syntheticgeometry_41144.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4489, "image": "images/SyntheticGeometry/syntheticgeometry_45921noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4490, "image": "images/SyntheticGeometry/syntheticgeometry_37883noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4491, "image": "images/SyntheticGeometry/syntheticgeometry_49205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4492, "image": "images/SyntheticGeometry/syntheticgeometry_47801noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4493, "image": "images/SyntheticGeometry/syntheticgeometry_47846.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4494, "image": "images/SyntheticGeometry/syntheticgeometry_41972.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4495, "image": "images/SyntheticGeometry/syntheticgeometry_31198noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4496, "image": "images/SyntheticGeometry/syntheticgeometry_08616.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4497, "image": "images/SyntheticGeometry/syntheticgeometry_48308noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4498, "image": "images/SyntheticGeometry/syntheticgeometry_26285.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4499, "image": "images/SyntheticGeometry/syntheticgeometry_25200noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4500, "image": "images/SyntheticGeometry/syntheticgeometry_38820.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4501, "image": "images/SyntheticGeometry/syntheticgeometry_33773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4502, "image": "images/SyntheticGeometry/syntheticgeometry_10656noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4503, "image": "images/SyntheticGeometry/syntheticgeometry_06497noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4504, "image": "images/SyntheticGeometry/syntheticgeometry_45019.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4505, "image": "images/SyntheticGeometry/syntheticgeometry_17838noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4506, "image": "images/SyntheticGeometry/syntheticgeometry_37256.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4507, "image": "images/SyntheticGeometry/syntheticgeometry_27569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4508, "image": "images/SyntheticGeometry/syntheticgeometry_23120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4509, "image": "images/SyntheticGeometry/syntheticgeometry_19273.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4510, "image": "images/SyntheticGeometry/syntheticgeometry_23174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4511, "image": "images/SyntheticGeometry/syntheticgeometry_07016.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4512, "image": "images/SyntheticGeometry/syntheticgeometry_23004.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4513, "image": "images/SyntheticGeometry/syntheticgeometry_39108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4514, "image": "images/SyntheticGeometry/syntheticgeometry_19578noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4515, "image": "images/SyntheticGeometry/syntheticgeometry_38290noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4516, "image": "images/SyntheticGeometry/syntheticgeometry_25505noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4517, "image": "images/SyntheticGeometry/syntheticgeometry_29055.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4518, "image": "images/SyntheticGeometry/syntheticgeometry_26392noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4519, "image": "images/SyntheticGeometry/syntheticgeometry_31374noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4520, "image": "images/SyntheticGeometry/syntheticgeometry_18339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4521, "image": "images/SyntheticGeometry/syntheticgeometry_16833.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4522, "image": "images/SyntheticGeometry/syntheticgeometry_44415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4523, "image": "images/SyntheticGeometry/syntheticgeometry_25600.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4524, "image": "images/SyntheticGeometry/syntheticgeometry_16723noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4525, "image": "images/SyntheticGeometry/syntheticgeometry_31461.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4526, "image": "images/SyntheticGeometry/syntheticgeometry_18358noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4527, "image": "images/SyntheticGeometry/syntheticgeometry_06984.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4528, "image": "images/SyntheticGeometry/syntheticgeometry_03286.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4529, "image": "images/SyntheticGeometry/syntheticgeometry_42895noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4530, "image": "images/SyntheticGeometry/syntheticgeometry_09718.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4531, "image": "images/SyntheticGeometry/syntheticgeometry_04027.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4532, "image": "images/SyntheticGeometry/syntheticgeometry_37978.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4533, "image": "images/SyntheticGeometry/syntheticgeometry_39920noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4534, "image": "images/SyntheticGeometry/syntheticgeometry_24817noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4535, "image": "images/SyntheticGeometry/syntheticgeometry_17441.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4536, "image": "images/SyntheticGeometry/syntheticgeometry_27276noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4537, "image": "images/SyntheticGeometry/syntheticgeometry_10736noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4538, "image": "images/SyntheticGeometry/syntheticgeometry_02251.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4539, "image": "images/SyntheticGeometry/syntheticgeometry_33352noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4540, "image": "images/SyntheticGeometry/syntheticgeometry_17212noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4541, "image": "images/SyntheticGeometry/syntheticgeometry_09841.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4542, "image": "images/SyntheticGeometry/syntheticgeometry_16664noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4543, "image": "images/SyntheticGeometry/syntheticgeometry_42060noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4544, "image": "images/SyntheticGeometry/syntheticgeometry_06304noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4545, "image": "images/SyntheticGeometry/syntheticgeometry_36025noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4546, "image": "images/SyntheticGeometry/syntheticgeometry_40678noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4547, "image": "images/SyntheticGeometry/syntheticgeometry_31868.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4548, "image": "images/SyntheticGeometry/syntheticgeometry_22246noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4549, "image": "images/SyntheticGeometry/syntheticgeometry_44004noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4550, "image": "images/SyntheticGeometry/syntheticgeometry_13646.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4551, "image": "images/SyntheticGeometry/syntheticgeometry_48267noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4552, "image": "images/SyntheticGeometry/syntheticgeometry_42716.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4553, "image": "images/SyntheticGeometry/syntheticgeometry_42966noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4554, "image": "images/SyntheticGeometry/syntheticgeometry_09848.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4555, "image": "images/SyntheticGeometry/syntheticgeometry_23713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4556, "image": "images/SyntheticGeometry/syntheticgeometry_40454.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4557, "image": "images/SyntheticGeometry/syntheticgeometry_02163noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4558, "image": "images/SyntheticGeometry/syntheticgeometry_14512.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4559, "image": "images/SyntheticGeometry/syntheticgeometry_40432noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4560, "image": "images/SyntheticGeometry/syntheticgeometry_45152noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4561, "image": "images/SyntheticGeometry/syntheticgeometry_18803.png", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4562, "image": "images/SyntheticGeometry/syntheticgeometry_21676noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4563, "image": "images/SyntheticGeometry/syntheticgeometry_42754noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4564, "image": "images/SyntheticGeometry/syntheticgeometry_07295.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4565, "image": "images/SyntheticGeometry/syntheticgeometry_49188noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4566, "image": "images/SyntheticGeometry/syntheticgeometry_35857noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4567, "image": "images/SyntheticGeometry/syntheticgeometry_39220noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4568, "image": "images/SyntheticGeometry/syntheticgeometry_32235.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4569, "image": "images/SyntheticGeometry/syntheticgeometry_19902.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4570, "image": "images/SyntheticGeometry/syntheticgeometry_37393noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4571, "image": "images/SyntheticGeometry/syntheticgeometry_30355.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4572, "image": "images/SyntheticGeometry/syntheticgeometry_19131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4573, "image": "images/SyntheticGeometry/syntheticgeometry_18659.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4574, "image": "images/SyntheticGeometry/syntheticgeometry_40750noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4575, "image": "images/SyntheticGeometry/syntheticgeometry_24453noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4576, "image": "images/SyntheticGeometry/syntheticgeometry_22867.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4577, "image": "images/SyntheticGeometry/syntheticgeometry_33943.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4578, "image": "images/SyntheticGeometry/syntheticgeometry_25130noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4579, "image": "images/SyntheticGeometry/syntheticgeometry_29448noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4580, "image": "images/SyntheticGeometry/syntheticgeometry_39790noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4581, "image": "images/SyntheticGeometry/syntheticgeometry_05383noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4582, "image": "images/SyntheticGeometry/syntheticgeometry_15362noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4583, "image": "images/SyntheticGeometry/syntheticgeometry_03704noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4584, "image": "images/SyntheticGeometry/syntheticgeometry_09692noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4585, "image": "images/SyntheticGeometry/syntheticgeometry_36779noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4586, "image": "images/SyntheticGeometry/syntheticgeometry_13309noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4587, "image": "images/SyntheticGeometry/syntheticgeometry_47163noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4588, "image": "images/SyntheticGeometry/syntheticgeometry_49798noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4589, "image": "images/SyntheticGeometry/syntheticgeometry_47813noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4590, "image": "images/SyntheticGeometry/syntheticgeometry_40536noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4591, "image": "images/SyntheticGeometry/syntheticgeometry_10326.png", "conversations": [{"from": "human", "value": "\nThere is no triangle OPK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4592, "image": "images/SyntheticGeometry/syntheticgeometry_27974noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4593, "image": "images/SyntheticGeometry/syntheticgeometry_04818noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4594, "image": "images/SyntheticGeometry/syntheticgeometry_43897noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4595, "image": "images/SyntheticGeometry/syntheticgeometry_07555.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4596, "image": "images/SyntheticGeometry/syntheticgeometry_28043.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4597, "image": "images/SyntheticGeometry/syntheticgeometry_22658noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4598, "image": "images/SyntheticGeometry/syntheticgeometry_06260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4599, "image": "images/SyntheticGeometry/syntheticgeometry_20688.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4600, "image": "images/SyntheticGeometry/syntheticgeometry_30984.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4601, "image": "images/SyntheticGeometry/syntheticgeometry_26714.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4602, "image": "images/SyntheticGeometry/syntheticgeometry_37858noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4603, "image": "images/SyntheticGeometry/syntheticgeometry_43031noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4604, "image": "images/SyntheticGeometry/syntheticgeometry_35745noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4605, "image": "images/SyntheticGeometry/syntheticgeometry_32186noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4606, "image": "images/SyntheticGeometry/syntheticgeometry_04529noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4607, "image": "images/SyntheticGeometry/syntheticgeometry_20091.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4608, "image": "images/SyntheticGeometry/syntheticgeometry_33776noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4609, "image": "images/SyntheticGeometry/syntheticgeometry_06853.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4610, "image": "images/SyntheticGeometry/syntheticgeometry_12158.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4611, "image": "images/SyntheticGeometry/syntheticgeometry_24864noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4612, "image": "images/SyntheticGeometry/syntheticgeometry_45490noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4613, "image": "images/SyntheticGeometry/syntheticgeometry_05861.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4614, "image": "images/SyntheticGeometry/syntheticgeometry_10650noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4615, "image": "images/SyntheticGeometry/syntheticgeometry_17962.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4616, "image": "images/SyntheticGeometry/syntheticgeometry_24016.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4617, "image": "images/SyntheticGeometry/syntheticgeometry_23260noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4618, "image": "images/SyntheticGeometry/syntheticgeometry_25795noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4619, "image": "images/SyntheticGeometry/syntheticgeometry_30475noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4620, "image": "images/SyntheticGeometry/syntheticgeometry_12438noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4621, "image": "images/SyntheticGeometry/syntheticgeometry_29212.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4622, "image": "images/SyntheticGeometry/syntheticgeometry_30579noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4623, "image": "images/SyntheticGeometry/syntheticgeometry_07173noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4624, "image": "images/SyntheticGeometry/syntheticgeometry_41279noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4625, "image": "images/SyntheticGeometry/syntheticgeometry_27240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4626, "image": "images/SyntheticGeometry/syntheticgeometry_31539noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4627, "image": "images/SyntheticGeometry/syntheticgeometry_43889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4628, "image": "images/SyntheticGeometry/syntheticgeometry_44868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4629, "image": "images/SyntheticGeometry/syntheticgeometry_24992noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4630, "image": "images/SyntheticGeometry/syntheticgeometry_06097noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4631, "image": "images/SyntheticGeometry/syntheticgeometry_19475.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4632, "image": "images/SyntheticGeometry/syntheticgeometry_10710noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4633, "image": "images/SyntheticGeometry/syntheticgeometry_10910noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4634, "image": "images/SyntheticGeometry/syntheticgeometry_23863noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KMN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4635, "image": "images/SyntheticGeometry/syntheticgeometry_06886noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4636, "image": "images/SyntheticGeometry/syntheticgeometry_37938.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4637, "image": "images/SyntheticGeometry/syntheticgeometry_18229noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4638, "image": "images/SyntheticGeometry/syntheticgeometry_15396.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4639, "image": "images/SyntheticGeometry/syntheticgeometry_09543noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4640, "image": "images/SyntheticGeometry/syntheticgeometry_07584.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4641, "image": "images/SyntheticGeometry/syntheticgeometry_07476noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4642, "image": "images/SyntheticGeometry/syntheticgeometry_16419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4643, "image": "images/SyntheticGeometry/syntheticgeometry_41860noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4644, "image": "images/SyntheticGeometry/syntheticgeometry_42986.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4645, "image": "images/SyntheticGeometry/syntheticgeometry_04087noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HMN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4646, "image": "images/SyntheticGeometry/syntheticgeometry_13328noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4647, "image": "images/SyntheticGeometry/syntheticgeometry_19074noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4648, "image": "images/SyntheticGeometry/syntheticgeometry_41891.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4649, "image": "images/SyntheticGeometry/syntheticgeometry_48234.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4650, "image": "images/SyntheticGeometry/syntheticgeometry_49729noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4651, "image": "images/SyntheticGeometry/syntheticgeometry_27691.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4652, "image": "images/SyntheticGeometry/syntheticgeometry_05212noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4653, "image": "images/SyntheticGeometry/syntheticgeometry_32713noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4654, "image": "images/SyntheticGeometry/syntheticgeometry_23114.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4655, "image": "images/SyntheticGeometry/syntheticgeometry_02159noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4656, "image": "images/SyntheticGeometry/syntheticgeometry_03620.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4657, "image": "images/SyntheticGeometry/syntheticgeometry_17394noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4658, "image": "images/SyntheticGeometry/syntheticgeometry_14118.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4659, "image": "images/SyntheticGeometry/syntheticgeometry_07553noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4660, "image": "images/SyntheticGeometry/syntheticgeometry_44946noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4661, "image": "images/SyntheticGeometry/syntheticgeometry_35618.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4662, "image": "images/SyntheticGeometry/syntheticgeometry_03968noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4663, "image": "images/SyntheticGeometry/syntheticgeometry_48971noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4664, "image": "images/SyntheticGeometry/syntheticgeometry_25543.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4665, "image": "images/SyntheticGeometry/syntheticgeometry_09384.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4666, "image": "images/SyntheticGeometry/syntheticgeometry_38177.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4667, "image": "images/SyntheticGeometry/syntheticgeometry_32321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CMF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4668, "image": "images/SyntheticGeometry/syntheticgeometry_09958noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4669, "image": "images/SyntheticGeometry/syntheticgeometry_11152noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4670, "image": "images/SyntheticGeometry/syntheticgeometry_14073.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4671, "image": "images/SyntheticGeometry/syntheticgeometry_02672.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4672, "image": "images/SyntheticGeometry/syntheticgeometry_17134.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4673, "image": "images/SyntheticGeometry/syntheticgeometry_05497noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4674, "image": "images/SyntheticGeometry/syntheticgeometry_11586noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4675, "image": "images/SyntheticGeometry/syntheticgeometry_05216noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4676, "image": "images/SyntheticGeometry/syntheticgeometry_14592.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4677, "image": "images/SyntheticGeometry/syntheticgeometry_03828noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4678, "image": "images/SyntheticGeometry/syntheticgeometry_11933noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4679, "image": "images/SyntheticGeometry/syntheticgeometry_49670noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4680, "image": "images/SyntheticGeometry/syntheticgeometry_30546noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4681, "image": "images/SyntheticGeometry/syntheticgeometry_45035noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4682, "image": "images/SyntheticGeometry/syntheticgeometry_21824noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4683, "image": "images/SyntheticGeometry/syntheticgeometry_12845.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4684, "image": "images/SyntheticGeometry/syntheticgeometry_35869.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4685, "image": "images/SyntheticGeometry/syntheticgeometry_17976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4686, "image": "images/SyntheticGeometry/syntheticgeometry_32400noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4687, "image": "images/SyntheticGeometry/syntheticgeometry_46268.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4688, "image": "images/SyntheticGeometry/syntheticgeometry_22906.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4689, "image": "images/SyntheticGeometry/syntheticgeometry_49035.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4690, "image": "images/SyntheticGeometry/syntheticgeometry_05524noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4691, "image": "images/SyntheticGeometry/syntheticgeometry_37541noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4692, "image": "images/SyntheticGeometry/syntheticgeometry_22795noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4693, "image": "images/SyntheticGeometry/syntheticgeometry_25625noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4694, "image": "images/SyntheticGeometry/syntheticgeometry_09090noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4695, "image": "images/SyntheticGeometry/syntheticgeometry_06949.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4696, "image": "images/SyntheticGeometry/syntheticgeometry_13155noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KNL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4697, "image": "images/SyntheticGeometry/syntheticgeometry_38340noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4698, "image": "images/SyntheticGeometry/syntheticgeometry_28163noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4699, "image": "images/SyntheticGeometry/syntheticgeometry_32518.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4700, "image": "images/SyntheticGeometry/syntheticgeometry_27968noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4701, "image": "images/SyntheticGeometry/syntheticgeometry_41052.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4702, "image": "images/SyntheticGeometry/syntheticgeometry_34872noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4703, "image": "images/SyntheticGeometry/syntheticgeometry_31474.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4704, "image": "images/SyntheticGeometry/syntheticgeometry_37530noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4705, "image": "images/SyntheticGeometry/syntheticgeometry_46488.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4706, "image": "images/SyntheticGeometry/syntheticgeometry_32949noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4707, "image": "images/SyntheticGeometry/syntheticgeometry_08803noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4708, "image": "images/SyntheticGeometry/syntheticgeometry_19001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4709, "image": "images/SyntheticGeometry/syntheticgeometry_23498.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4710, "image": "images/SyntheticGeometry/syntheticgeometry_33633.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4711, "image": "images/SyntheticGeometry/syntheticgeometry_26877noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4712, "image": "images/SyntheticGeometry/syntheticgeometry_36735noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4713, "image": "images/SyntheticGeometry/syntheticgeometry_20763noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4714, "image": "images/SyntheticGeometry/syntheticgeometry_48073noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4715, "image": "images/SyntheticGeometry/syntheticgeometry_03514noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4716, "image": "images/SyntheticGeometry/syntheticgeometry_48456noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4717, "image": "images/SyntheticGeometry/syntheticgeometry_30360noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4718, "image": "images/SyntheticGeometry/syntheticgeometry_35085.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4719, "image": "images/SyntheticGeometry/syntheticgeometry_08254noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4720, "image": "images/SyntheticGeometry/syntheticgeometry_12354.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4721, "image": "images/SyntheticGeometry/syntheticgeometry_04494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4722, "image": "images/SyntheticGeometry/syntheticgeometry_03494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4723, "image": "images/SyntheticGeometry/syntheticgeometry_49322.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4724, "image": "images/SyntheticGeometry/syntheticgeometry_02765.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4725, "image": "images/SyntheticGeometry/syntheticgeometry_11415.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4726, "image": "images/SyntheticGeometry/syntheticgeometry_47236.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4727, "image": "images/SyntheticGeometry/syntheticgeometry_24886.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4728, "image": "images/SyntheticGeometry/syntheticgeometry_21687noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4729, "image": "images/SyntheticGeometry/syntheticgeometry_23694noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4730, "image": "images/SyntheticGeometry/syntheticgeometry_34757.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4731, "image": "images/SyntheticGeometry/syntheticgeometry_27907noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4732, "image": "images/SyntheticGeometry/syntheticgeometry_27522noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4733, "image": "images/SyntheticGeometry/syntheticgeometry_38286noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4734, "image": "images/SyntheticGeometry/syntheticgeometry_13223noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4735, "image": "images/SyntheticGeometry/syntheticgeometry_06356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4736, "image": "images/SyntheticGeometry/syntheticgeometry_39768.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4737, "image": "images/SyntheticGeometry/syntheticgeometry_07768noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4738, "image": "images/SyntheticGeometry/syntheticgeometry_21680noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4739, "image": "images/SyntheticGeometry/syntheticgeometry_04091noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4740, "image": "images/SyntheticGeometry/syntheticgeometry_35524noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4741, "image": "images/SyntheticGeometry/syntheticgeometry_46068noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4742, "image": "images/SyntheticGeometry/syntheticgeometry_32678noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4743, "image": "images/SyntheticGeometry/syntheticgeometry_42992.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4744, "image": "images/SyntheticGeometry/syntheticgeometry_48573noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4745, "image": "images/SyntheticGeometry/syntheticgeometry_14315.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4746, "image": "images/SyntheticGeometry/syntheticgeometry_18365.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4747, "image": "images/SyntheticGeometry/syntheticgeometry_08245noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4748, "image": "images/SyntheticGeometry/syntheticgeometry_21635.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4749, "image": "images/SyntheticGeometry/syntheticgeometry_08813noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4750, "image": "images/SyntheticGeometry/syntheticgeometry_45849.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4751, "image": "images/SyntheticGeometry/syntheticgeometry_48054.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4752, "image": "images/SyntheticGeometry/syntheticgeometry_23245noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4753, "image": "images/SyntheticGeometry/syntheticgeometry_42576noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4754, "image": "images/SyntheticGeometry/syntheticgeometry_33400noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4755, "image": "images/SyntheticGeometry/syntheticgeometry_10193.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4756, "image": "images/SyntheticGeometry/syntheticgeometry_41811noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4757, "image": "images/SyntheticGeometry/syntheticgeometry_44165.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4758, "image": "images/SyntheticGeometry/syntheticgeometry_43184.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4759, "image": "images/SyntheticGeometry/syntheticgeometry_30265noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4760, "image": "images/SyntheticGeometry/syntheticgeometry_34182.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BCD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4761, "image": "images/SyntheticGeometry/syntheticgeometry_37406noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4762, "image": "images/SyntheticGeometry/syntheticgeometry_23864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4763, "image": "images/SyntheticGeometry/syntheticgeometry_24954.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4764, "image": "images/SyntheticGeometry/syntheticgeometry_15714.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4765, "image": "images/SyntheticGeometry/syntheticgeometry_41575.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4766, "image": "images/SyntheticGeometry/syntheticgeometry_25123.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4767, "image": "images/SyntheticGeometry/syntheticgeometry_40423noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4768, "image": "images/SyntheticGeometry/syntheticgeometry_32103noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4769, "image": "images/SyntheticGeometry/syntheticgeometry_48173noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4770, "image": "images/SyntheticGeometry/syntheticgeometry_13664.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4771, "image": "images/SyntheticGeometry/syntheticgeometry_28966.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4772, "image": "images/SyntheticGeometry/syntheticgeometry_04328noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4773, "image": "images/SyntheticGeometry/syntheticgeometry_37139.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4774, "image": "images/SyntheticGeometry/syntheticgeometry_07251noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4775, "image": "images/SyntheticGeometry/syntheticgeometry_11357noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4776, "image": "images/SyntheticGeometry/syntheticgeometry_31394noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4777, "image": "images/SyntheticGeometry/syntheticgeometry_40017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4778, "image": "images/SyntheticGeometry/syntheticgeometry_28014.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4779, "image": "images/SyntheticGeometry/syntheticgeometry_17260noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4780, "image": "images/SyntheticGeometry/syntheticgeometry_05710noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4781, "image": "images/SyntheticGeometry/syntheticgeometry_17111noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4782, "image": "images/SyntheticGeometry/syntheticgeometry_29163noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4783, "image": "images/SyntheticGeometry/syntheticgeometry_30120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4784, "image": "images/SyntheticGeometry/syntheticgeometry_16639noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4785, "image": "images/SyntheticGeometry/syntheticgeometry_45372noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4786, "image": "images/SyntheticGeometry/syntheticgeometry_48643noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4787, "image": "images/SyntheticGeometry/syntheticgeometry_04775noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4788, "image": "images/SyntheticGeometry/syntheticgeometry_13709noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4789, "image": "images/SyntheticGeometry/syntheticgeometry_25016noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4790, "image": "images/SyntheticGeometry/syntheticgeometry_05949.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4791, "image": "images/SyntheticGeometry/syntheticgeometry_08599noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4792, "image": "images/SyntheticGeometry/syntheticgeometry_09204noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4793, "image": "images/SyntheticGeometry/syntheticgeometry_46091noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4794, "image": "images/SyntheticGeometry/syntheticgeometry_40582noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4795, "image": "images/SyntheticGeometry/syntheticgeometry_35772noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4796, "image": "images/SyntheticGeometry/syntheticgeometry_41774.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4797, "image": "images/SyntheticGeometry/syntheticgeometry_19163.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4798, "image": "images/SyntheticGeometry/syntheticgeometry_29004noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4799, "image": "images/SyntheticGeometry/syntheticgeometry_14285noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4800, "image": "images/SyntheticGeometry/syntheticgeometry_28826noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4801, "image": "images/SyntheticGeometry/syntheticgeometry_40119noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4802, "image": "images/SyntheticGeometry/syntheticgeometry_28437noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4803, "image": "images/SyntheticGeometry/syntheticgeometry_05059noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4804, "image": "images/SyntheticGeometry/syntheticgeometry_14843noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4805, "image": "images/SyntheticGeometry/syntheticgeometry_07654noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4806, "image": "images/SyntheticGeometry/syntheticgeometry_08635noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4807, "image": "images/SyntheticGeometry/syntheticgeometry_09707.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4808, "image": "images/SyntheticGeometry/syntheticgeometry_41659noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4809, "image": "images/SyntheticGeometry/syntheticgeometry_17698noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4810, "image": "images/SyntheticGeometry/syntheticgeometry_36537.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4811, "image": "images/SyntheticGeometry/syntheticgeometry_41944.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4812, "image": "images/SyntheticGeometry/syntheticgeometry_44028noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4813, "image": "images/SyntheticGeometry/syntheticgeometry_04301.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4814, "image": "images/SyntheticGeometry/syntheticgeometry_30404noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4815, "image": "images/SyntheticGeometry/syntheticgeometry_04845noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4816, "image": "images/SyntheticGeometry/syntheticgeometry_48503.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4817, "image": "images/SyntheticGeometry/syntheticgeometry_09089noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4818, "image": "images/SyntheticGeometry/syntheticgeometry_06040noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4819, "image": "images/SyntheticGeometry/syntheticgeometry_07374noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4820, "image": "images/SyntheticGeometry/syntheticgeometry_07151noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4821, "image": "images/SyntheticGeometry/syntheticgeometry_14007noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4822, "image": "images/SyntheticGeometry/syntheticgeometry_48553.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4823, "image": "images/SyntheticGeometry/syntheticgeometry_33384.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4824, "image": "images/SyntheticGeometry/syntheticgeometry_36127.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4825, "image": "images/SyntheticGeometry/syntheticgeometry_15166noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4826, "image": "images/SyntheticGeometry/syntheticgeometry_26246.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4827, "image": "images/SyntheticGeometry/syntheticgeometry_06630noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4828, "image": "images/SyntheticGeometry/syntheticgeometry_26139noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4829, "image": "images/SyntheticGeometry/syntheticgeometry_12619noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4830, "image": "images/SyntheticGeometry/syntheticgeometry_27510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4831, "image": "images/SyntheticGeometry/syntheticgeometry_03650noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4832, "image": "images/SyntheticGeometry/syntheticgeometry_33564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4833, "image": "images/SyntheticGeometry/syntheticgeometry_17139noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4834, "image": "images/SyntheticGeometry/syntheticgeometry_06644noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4835, "image": "images/SyntheticGeometry/syntheticgeometry_23553.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4836, "image": "images/SyntheticGeometry/syntheticgeometry_16452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4837, "image": "images/SyntheticGeometry/syntheticgeometry_33138noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4838, "image": "images/SyntheticGeometry/syntheticgeometry_49625noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4839, "image": "images/SyntheticGeometry/syntheticgeometry_41164noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4840, "image": "images/SyntheticGeometry/syntheticgeometry_39458noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4841, "image": "images/SyntheticGeometry/syntheticgeometry_03560noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4842, "image": "images/SyntheticGeometry/syntheticgeometry_30772noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4843, "image": "images/SyntheticGeometry/syntheticgeometry_46993noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4844, "image": "images/SyntheticGeometry/syntheticgeometry_14954noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4845, "image": "images/SyntheticGeometry/syntheticgeometry_12411noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4846, "image": "images/SyntheticGeometry/syntheticgeometry_23715.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4847, "image": "images/SyntheticGeometry/syntheticgeometry_12375noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4848, "image": "images/SyntheticGeometry/syntheticgeometry_06619noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4849, "image": "images/SyntheticGeometry/syntheticgeometry_30215.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4850, "image": "images/SyntheticGeometry/syntheticgeometry_12200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4851, "image": "images/SyntheticGeometry/syntheticgeometry_14161noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4852, "image": "images/SyntheticGeometry/syntheticgeometry_26648.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4853, "image": "images/SyntheticGeometry/syntheticgeometry_26004.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4854, "image": "images/SyntheticGeometry/syntheticgeometry_23663noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4855, "image": "images/SyntheticGeometry/syntheticgeometry_27306.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4856, "image": "images/SyntheticGeometry/syntheticgeometry_37006noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4857, "image": "images/SyntheticGeometry/syntheticgeometry_35140noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4858, "image": "images/SyntheticGeometry/syntheticgeometry_28349.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4859, "image": "images/SyntheticGeometry/syntheticgeometry_45718.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4860, "image": "images/SyntheticGeometry/syntheticgeometry_34525noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4861, "image": "images/SyntheticGeometry/syntheticgeometry_18137noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4862, "image": "images/SyntheticGeometry/syntheticgeometry_38106noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4863, "image": "images/SyntheticGeometry/syntheticgeometry_31829.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4864, "image": "images/SyntheticGeometry/syntheticgeometry_41740.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4865, "image": "images/SyntheticGeometry/syntheticgeometry_11773noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4866, "image": "images/SyntheticGeometry/syntheticgeometry_02498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4867, "image": "images/SyntheticGeometry/syntheticgeometry_02781noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4868, "image": "images/SyntheticGeometry/syntheticgeometry_03420noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4869, "image": "images/SyntheticGeometry/syntheticgeometry_20530.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4870, "image": "images/SyntheticGeometry/syntheticgeometry_14765.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4871, "image": "images/SyntheticGeometry/syntheticgeometry_09255.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4872, "image": "images/SyntheticGeometry/syntheticgeometry_37154noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4873, "image": "images/SyntheticGeometry/syntheticgeometry_41214noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4874, "image": "images/SyntheticGeometry/syntheticgeometry_15828.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4875, "image": "images/SyntheticGeometry/syntheticgeometry_31729.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4876, "image": "images/SyntheticGeometry/syntheticgeometry_14661noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4877, "image": "images/SyntheticGeometry/syntheticgeometry_21490noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4878, "image": "images/SyntheticGeometry/syntheticgeometry_21757noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4879, "image": "images/SyntheticGeometry/syntheticgeometry_06546noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4880, "image": "images/SyntheticGeometry/syntheticgeometry_04267noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4881, "image": "images/SyntheticGeometry/syntheticgeometry_30855noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4882, "image": "images/SyntheticGeometry/syntheticgeometry_41865.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4883, "image": "images/SyntheticGeometry/syntheticgeometry_47410noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4884, "image": "images/SyntheticGeometry/syntheticgeometry_03544noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4885, "image": "images/SyntheticGeometry/syntheticgeometry_31102.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4886, "image": "images/SyntheticGeometry/syntheticgeometry_08572.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4887, "image": "images/SyntheticGeometry/syntheticgeometry_33397noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4888, "image": "images/SyntheticGeometry/syntheticgeometry_10575noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4889, "image": "images/SyntheticGeometry/syntheticgeometry_29823noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle OFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4890, "image": "images/SyntheticGeometry/syntheticgeometry_13255noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4891, "image": "images/SyntheticGeometry/syntheticgeometry_28573noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4892, "image": "images/SyntheticGeometry/syntheticgeometry_35726.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4893, "image": "images/SyntheticGeometry/syntheticgeometry_16461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4894, "image": "images/SyntheticGeometry/syntheticgeometry_32195.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4895, "image": "images/SyntheticGeometry/syntheticgeometry_33016noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4896, "image": "images/SyntheticGeometry/syntheticgeometry_38438noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4897, "image": "images/SyntheticGeometry/syntheticgeometry_38392noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4898, "image": "images/SyntheticGeometry/syntheticgeometry_05097noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4899, "image": "images/SyntheticGeometry/syntheticgeometry_23446noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4900, "image": "images/SyntheticGeometry/syntheticgeometry_33964noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KNG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4901, "image": "images/SyntheticGeometry/syntheticgeometry_05262noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4902, "image": "images/SyntheticGeometry/syntheticgeometry_26278noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4903, "image": "images/SyntheticGeometry/syntheticgeometry_17129.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4904, "image": "images/SyntheticGeometry/syntheticgeometry_09839noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4905, "image": "images/SyntheticGeometry/syntheticgeometry_43938.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4906, "image": "images/SyntheticGeometry/syntheticgeometry_12926noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4907, "image": "images/SyntheticGeometry/syntheticgeometry_46465.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4908, "image": "images/SyntheticGeometry/syntheticgeometry_13548noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4909, "image": "images/SyntheticGeometry/syntheticgeometry_34887noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EGL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4910, "image": "images/SyntheticGeometry/syntheticgeometry_07934.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4911, "image": "images/SyntheticGeometry/syntheticgeometry_21923.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4912, "image": "images/SyntheticGeometry/syntheticgeometry_23061noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GLI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4913, "image": "images/SyntheticGeometry/syntheticgeometry_21176.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4914, "image": "images/SyntheticGeometry/syntheticgeometry_30297noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4915, "image": "images/SyntheticGeometry/syntheticgeometry_41796.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4916, "image": "images/SyntheticGeometry/syntheticgeometry_11728noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4917, "image": "images/SyntheticGeometry/syntheticgeometry_03245noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4918, "image": "images/SyntheticGeometry/syntheticgeometry_36482.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4919, "image": "images/SyntheticGeometry/syntheticgeometry_11682noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4920, "image": "images/SyntheticGeometry/syntheticgeometry_48679.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4921, "image": "images/SyntheticGeometry/syntheticgeometry_06556noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4922, "image": "images/SyntheticGeometry/syntheticgeometry_16583noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4923, "image": "images/SyntheticGeometry/syntheticgeometry_31862.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4924, "image": "images/SyntheticGeometry/syntheticgeometry_33940noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4925, "image": "images/SyntheticGeometry/syntheticgeometry_49339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4926, "image": "images/SyntheticGeometry/syntheticgeometry_17704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4927, "image": "images/SyntheticGeometry/syntheticgeometry_39981noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4928, "image": "images/SyntheticGeometry/syntheticgeometry_25301.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4929, "image": "images/SyntheticGeometry/syntheticgeometry_41354noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4930, "image": "images/SyntheticGeometry/syntheticgeometry_39437noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4931, "image": "images/SyntheticGeometry/syntheticgeometry_27185noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4932, "image": "images/SyntheticGeometry/syntheticgeometry_13144.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4933, "image": "images/SyntheticGeometry/syntheticgeometry_32665noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4934, "image": "images/SyntheticGeometry/syntheticgeometry_26873.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4935, "image": "images/SyntheticGeometry/syntheticgeometry_31976.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4936, "image": "images/SyntheticGeometry/syntheticgeometry_07644noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4937, "image": "images/SyntheticGeometry/syntheticgeometry_04426.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4938, "image": "images/SyntheticGeometry/syntheticgeometry_43694noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4939, "image": "images/SyntheticGeometry/syntheticgeometry_40310noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4940, "image": "images/SyntheticGeometry/syntheticgeometry_17555noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4941, "image": "images/SyntheticGeometry/syntheticgeometry_27952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4942, "image": "images/SyntheticGeometry/syntheticgeometry_27076.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4943, "image": "images/SyntheticGeometry/syntheticgeometry_20059noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4944, "image": "images/SyntheticGeometry/syntheticgeometry_05896noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4945, "image": "images/SyntheticGeometry/syntheticgeometry_39324.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4946, "image": "images/SyntheticGeometry/syntheticgeometry_33930noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4947, "image": "images/SyntheticGeometry/syntheticgeometry_07854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4948, "image": "images/SyntheticGeometry/syntheticgeometry_28889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4949, "image": "images/SyntheticGeometry/syntheticgeometry_38671noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4950, "image": "images/SyntheticGeometry/syntheticgeometry_07452noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4951, "image": "images/SyntheticGeometry/syntheticgeometry_19086.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4952, "image": "images/SyntheticGeometry/syntheticgeometry_47004noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4953, "image": "images/SyntheticGeometry/syntheticgeometry_43711noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4954, "image": "images/SyntheticGeometry/syntheticgeometry_05711.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4955, "image": "images/SyntheticGeometry/syntheticgeometry_23391noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle OCL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4956, "image": "images/SyntheticGeometry/syntheticgeometry_44825.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4957, "image": "images/SyntheticGeometry/syntheticgeometry_29460noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4958, "image": "images/SyntheticGeometry/syntheticgeometry_04583noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4959, "image": "images/SyntheticGeometry/syntheticgeometry_22668noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4960, "image": "images/SyntheticGeometry/syntheticgeometry_49146.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4961, "image": "images/SyntheticGeometry/syntheticgeometry_16416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4962, "image": "images/SyntheticGeometry/syntheticgeometry_47381.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4963, "image": "images/SyntheticGeometry/syntheticgeometry_17993noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4964, "image": "images/SyntheticGeometry/syntheticgeometry_03256noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4965, "image": "images/SyntheticGeometry/syntheticgeometry_26491.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4966, "image": "images/SyntheticGeometry/syntheticgeometry_31008noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4967, "image": "images/SyntheticGeometry/syntheticgeometry_07846noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4968, "image": "images/SyntheticGeometry/syntheticgeometry_18098.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4969, "image": "images/SyntheticGeometry/syntheticgeometry_28637noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ERL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4970, "image": "images/SyntheticGeometry/syntheticgeometry_23591.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4971, "image": "images/SyntheticGeometry/syntheticgeometry_03541.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4972, "image": "images/SyntheticGeometry/syntheticgeometry_48300noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4973, "image": "images/SyntheticGeometry/syntheticgeometry_46984noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4974, "image": "images/SyntheticGeometry/syntheticgeometry_20645.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4975, "image": "images/SyntheticGeometry/syntheticgeometry_48907.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4976, "image": "images/SyntheticGeometry/syntheticgeometry_32883noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4977, "image": "images/SyntheticGeometry/syntheticgeometry_49013.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4978, "image": "images/SyntheticGeometry/syntheticgeometry_47359.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4979, "image": "images/SyntheticGeometry/syntheticgeometry_42463noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4980, "image": "images/SyntheticGeometry/syntheticgeometry_24266noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4981, "image": "images/SyntheticGeometry/syntheticgeometry_49266.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4982, "image": "images/SyntheticGeometry/syntheticgeometry_49201noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4983, "image": "images/SyntheticGeometry/syntheticgeometry_31262noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4984, "image": "images/SyntheticGeometry/syntheticgeometry_38548noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4985, "image": "images/SyntheticGeometry/syntheticgeometry_17521noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4986, "image": "images/SyntheticGeometry/syntheticgeometry_14910.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4987, "image": "images/SyntheticGeometry/syntheticgeometry_12421noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4988, "image": "images/SyntheticGeometry/syntheticgeometry_05040noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4989, "image": "images/SyntheticGeometry/syntheticgeometry_20650noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4990, "image": "images/SyntheticGeometry/syntheticgeometry_29931.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4991, "image": "images/SyntheticGeometry/syntheticgeometry_34110noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BCF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4992, "image": "images/SyntheticGeometry/syntheticgeometry_24117noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4993, "image": "images/SyntheticGeometry/syntheticgeometry_48145noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4994, "image": "images/SyntheticGeometry/syntheticgeometry_03163noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4995, "image": "images/SyntheticGeometry/syntheticgeometry_10227noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4996, "image": "images/SyntheticGeometry/syntheticgeometry_06717noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4997, "image": "images/SyntheticGeometry/syntheticgeometry_27189noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4998, "image": "images/SyntheticGeometry/syntheticgeometry_11900.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 4999, "image": "images/SyntheticGeometry/syntheticgeometry_24529noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 5000, "image": "images/SyntheticGeometry/syntheticgeometry_49398noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5001, "image": "images/SyntheticGeometry/syntheticgeometry_47482.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5002, "image": "images/SyntheticGeometry/syntheticgeometry_47012noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5003, "image": "images/SyntheticGeometry/syntheticgeometry_36168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5004, "image": "images/SyntheticGeometry/syntheticgeometry_15321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5005, "image": "images/SyntheticGeometry/syntheticgeometry_26279noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5006, "image": "images/SyntheticGeometry/syntheticgeometry_39564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5007, "image": "images/SyntheticGeometry/syntheticgeometry_38781.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5008, "image": "images/SyntheticGeometry/syntheticgeometry_46432noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5009, "image": "images/SyntheticGeometry/syntheticgeometry_45149noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5010, "image": "images/SyntheticGeometry/syntheticgeometry_42483noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5011, "image": "images/SyntheticGeometry/syntheticgeometry_45240noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5012, "image": "images/SyntheticGeometry/syntheticgeometry_24744.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5013, "image": "images/SyntheticGeometry/syntheticgeometry_25446.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5014, "image": "images/SyntheticGeometry/syntheticgeometry_15400noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5015, "image": "images/SyntheticGeometry/syntheticgeometry_36611noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5016, "image": "images/SyntheticGeometry/syntheticgeometry_13805noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5017, "image": "images/SyntheticGeometry/syntheticgeometry_13370.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5018, "image": "images/SyntheticGeometry/syntheticgeometry_07712noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5019, "image": "images/SyntheticGeometry/syntheticgeometry_41091noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5020, "image": "images/SyntheticGeometry/syntheticgeometry_24071noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5021, "image": "images/SyntheticGeometry/syntheticgeometry_15437.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5022, "image": "images/SyntheticGeometry/syntheticgeometry_34388noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5023, "image": "images/SyntheticGeometry/syntheticgeometry_38622noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5024, "image": "images/SyntheticGeometry/syntheticgeometry_23270noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5025, "image": "images/SyntheticGeometry/syntheticgeometry_02208noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5026, "image": "images/SyntheticGeometry/syntheticgeometry_26069noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5027, "image": "images/SyntheticGeometry/syntheticgeometry_33944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5028, "image": "images/SyntheticGeometry/syntheticgeometry_08972noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5029, "image": "images/SyntheticGeometry/syntheticgeometry_39762noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5030, "image": "images/SyntheticGeometry/syntheticgeometry_22372noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5031, "image": "images/SyntheticGeometry/syntheticgeometry_46801noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5032, "image": "images/SyntheticGeometry/syntheticgeometry_03375noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5033, "image": "images/SyntheticGeometry/syntheticgeometry_09130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5034, "image": "images/SyntheticGeometry/syntheticgeometry_38502.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5035, "image": "images/SyntheticGeometry/syntheticgeometry_43053.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5036, "image": "images/SyntheticGeometry/syntheticgeometry_49415noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5037, "image": "images/SyntheticGeometry/syntheticgeometry_35184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ERL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5038, "image": "images/SyntheticGeometry/syntheticgeometry_04586noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5039, "image": "images/SyntheticGeometry/syntheticgeometry_17082.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5040, "image": "images/SyntheticGeometry/syntheticgeometry_13219.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5041, "image": "images/SyntheticGeometry/syntheticgeometry_12920noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5042, "image": "images/SyntheticGeometry/syntheticgeometry_15944noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5043, "image": "images/SyntheticGeometry/syntheticgeometry_37463noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5044, "image": "images/SyntheticGeometry/syntheticgeometry_27989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5045, "image": "images/SyntheticGeometry/syntheticgeometry_14740.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5046, "image": "images/SyntheticGeometry/syntheticgeometry_45755noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AOM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5047, "image": "images/SyntheticGeometry/syntheticgeometry_15299.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5048, "image": "images/SyntheticGeometry/syntheticgeometry_34588.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5049, "image": "images/SyntheticGeometry/syntheticgeometry_30479noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5050, "image": "images/SyntheticGeometry/syntheticgeometry_48287.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5051, "image": "images/SyntheticGeometry/syntheticgeometry_26914noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5052, "image": "images/SyntheticGeometry/syntheticgeometry_32070noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5053, "image": "images/SyntheticGeometry/syntheticgeometry_03417noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5054, "image": "images/SyntheticGeometry/syntheticgeometry_09040noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5055, "image": "images/SyntheticGeometry/syntheticgeometry_35272noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5056, "image": "images/SyntheticGeometry/syntheticgeometry_40650noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5057, "image": "images/SyntheticGeometry/syntheticgeometry_24816noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5058, "image": "images/SyntheticGeometry/syntheticgeometry_07700.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5059, "image": "images/SyntheticGeometry/syntheticgeometry_42824noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5060, "image": "images/SyntheticGeometry/syntheticgeometry_09138noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5061, "image": "images/SyntheticGeometry/syntheticgeometry_36878noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5062, "image": "images/SyntheticGeometry/syntheticgeometry_09090.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5063, "image": "images/SyntheticGeometry/syntheticgeometry_27312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5064, "image": "images/SyntheticGeometry/syntheticgeometry_37487noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5065, "image": "images/SyntheticGeometry/syntheticgeometry_07520.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5066, "image": "images/SyntheticGeometry/syntheticgeometry_43123noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5067, "image": "images/SyntheticGeometry/syntheticgeometry_05273noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5068, "image": "images/SyntheticGeometry/syntheticgeometry_24680.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5069, "image": "images/SyntheticGeometry/syntheticgeometry_02321.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5070, "image": "images/SyntheticGeometry/syntheticgeometry_47119noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5071, "image": "images/SyntheticGeometry/syntheticgeometry_36452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5072, "image": "images/SyntheticGeometry/syntheticgeometry_36575.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5073, "image": "images/SyntheticGeometry/syntheticgeometry_43525noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5074, "image": "images/SyntheticGeometry/syntheticgeometry_11454noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5075, "image": "images/SyntheticGeometry/syntheticgeometry_31775noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5076, "image": "images/SyntheticGeometry/syntheticgeometry_24483noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5077, "image": "images/SyntheticGeometry/syntheticgeometry_17397noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5078, "image": "images/SyntheticGeometry/syntheticgeometry_02441noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5079, "image": "images/SyntheticGeometry/syntheticgeometry_34695noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5080, "image": "images/SyntheticGeometry/syntheticgeometry_16782noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5081, "image": "images/SyntheticGeometry/syntheticgeometry_21523noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5082, "image": "images/SyntheticGeometry/syntheticgeometry_35346noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5083, "image": "images/SyntheticGeometry/syntheticgeometry_17171noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LBD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5084, "image": "images/SyntheticGeometry/syntheticgeometry_21106noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5085, "image": "images/SyntheticGeometry/syntheticgeometry_27909.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5086, "image": "images/SyntheticGeometry/syntheticgeometry_27797noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5087, "image": "images/SyntheticGeometry/syntheticgeometry_26081.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5088, "image": "images/SyntheticGeometry/syntheticgeometry_17749.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5089, "image": "images/SyntheticGeometry/syntheticgeometry_02691noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5090, "image": "images/SyntheticGeometry/syntheticgeometry_02285noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5091, "image": "images/SyntheticGeometry/syntheticgeometry_27430noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5092, "image": "images/SyntheticGeometry/syntheticgeometry_45222noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5093, "image": "images/SyntheticGeometry/syntheticgeometry_18854noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MKG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5094, "image": "images/SyntheticGeometry/syntheticgeometry_20130noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5095, "image": "images/SyntheticGeometry/syntheticgeometry_11186.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5096, "image": "images/SyntheticGeometry/syntheticgeometry_36774.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5097, "image": "images/SyntheticGeometry/syntheticgeometry_07656noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5098, "image": "images/SyntheticGeometry/syntheticgeometry_28755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5099, "image": "images/SyntheticGeometry/syntheticgeometry_15344.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5100, "image": "images/SyntheticGeometry/syntheticgeometry_20452noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5101, "image": "images/SyntheticGeometry/syntheticgeometry_23454.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5102, "image": "images/SyntheticGeometry/syntheticgeometry_04581noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5103, "image": "images/SyntheticGeometry/syntheticgeometry_23031.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5104, "image": "images/SyntheticGeometry/syntheticgeometry_14900noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5105, "image": "images/SyntheticGeometry/syntheticgeometry_27378noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5106, "image": "images/SyntheticGeometry/syntheticgeometry_07968noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5107, "image": "images/SyntheticGeometry/syntheticgeometry_14151.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5108, "image": "images/SyntheticGeometry/syntheticgeometry_44811noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5109, "image": "images/SyntheticGeometry/syntheticgeometry_39634.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5110, "image": "images/SyntheticGeometry/syntheticgeometry_15367noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle QOL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5111, "image": "images/SyntheticGeometry/syntheticgeometry_10844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5112, "image": "images/SyntheticGeometry/syntheticgeometry_32653noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5113, "image": "images/SyntheticGeometry/syntheticgeometry_47054noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5114, "image": "images/SyntheticGeometry/syntheticgeometry_30958noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5115, "image": "images/SyntheticGeometry/syntheticgeometry_09142.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5116, "image": "images/SyntheticGeometry/syntheticgeometry_18202noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5117, "image": "images/SyntheticGeometry/syntheticgeometry_47340.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5118, "image": "images/SyntheticGeometry/syntheticgeometry_30612noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5119, "image": "images/SyntheticGeometry/syntheticgeometry_15157.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5120, "image": "images/SyntheticGeometry/syntheticgeometry_26431.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5121, "image": "images/SyntheticGeometry/syntheticgeometry_17320noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5122, "image": "images/SyntheticGeometry/syntheticgeometry_26138noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5123, "image": "images/SyntheticGeometry/syntheticgeometry_42463noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5124, "image": "images/SyntheticGeometry/syntheticgeometry_10912noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LAN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5125, "image": "images/SyntheticGeometry/syntheticgeometry_45226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5126, "image": "images/SyntheticGeometry/syntheticgeometry_36042.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5127, "image": "images/SyntheticGeometry/syntheticgeometry_37524noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5128, "image": "images/SyntheticGeometry/syntheticgeometry_35379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5129, "image": "images/SyntheticGeometry/syntheticgeometry_20117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5130, "image": "images/SyntheticGeometry/syntheticgeometry_29213.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5131, "image": "images/SyntheticGeometry/syntheticgeometry_20158.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5132, "image": "images/SyntheticGeometry/syntheticgeometry_40135noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5133, "image": "images/SyntheticGeometry/syntheticgeometry_29630.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5134, "image": "images/SyntheticGeometry/syntheticgeometry_26640.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5135, "image": "images/SyntheticGeometry/syntheticgeometry_02290noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5136, "image": "images/SyntheticGeometry/syntheticgeometry_43222.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5137, "image": "images/SyntheticGeometry/syntheticgeometry_49716noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5138, "image": "images/SyntheticGeometry/syntheticgeometry_35643noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5139, "image": "images/SyntheticGeometry/syntheticgeometry_09103noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FNL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5140, "image": "images/SyntheticGeometry/syntheticgeometry_20963.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5141, "image": "images/SyntheticGeometry/syntheticgeometry_42170noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5142, "image": "images/SyntheticGeometry/syntheticgeometry_24769noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5143, "image": "images/SyntheticGeometry/syntheticgeometry_27341noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5144, "image": "images/SyntheticGeometry/syntheticgeometry_46022noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AIS in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5145, "image": "images/SyntheticGeometry/syntheticgeometry_06055.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5146, "image": "images/SyntheticGeometry/syntheticgeometry_15744.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5147, "image": "images/SyntheticGeometry/syntheticgeometry_29984.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5148, "image": "images/SyntheticGeometry/syntheticgeometry_10509noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5149, "image": "images/SyntheticGeometry/syntheticgeometry_35734noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5150, "image": "images/SyntheticGeometry/syntheticgeometry_23257noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5151, "image": "images/SyntheticGeometry/syntheticgeometry_33368noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5152, "image": "images/SyntheticGeometry/syntheticgeometry_36656.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5153, "image": "images/SyntheticGeometry/syntheticgeometry_31488noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5154, "image": "images/SyntheticGeometry/syntheticgeometry_49407noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5155, "image": "images/SyntheticGeometry/syntheticgeometry_41132.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5156, "image": "images/SyntheticGeometry/syntheticgeometry_17504noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5157, "image": "images/SyntheticGeometry/syntheticgeometry_04014.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5158, "image": "images/SyntheticGeometry/syntheticgeometry_40236.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5159, "image": "images/SyntheticGeometry/syntheticgeometry_17726.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5160, "image": "images/SyntheticGeometry/syntheticgeometry_03339noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5161, "image": "images/SyntheticGeometry/syntheticgeometry_32679noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5162, "image": "images/SyntheticGeometry/syntheticgeometry_25231noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5163, "image": "images/SyntheticGeometry/syntheticgeometry_38420noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5164, "image": "images/SyntheticGeometry/syntheticgeometry_44316noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5165, "image": "images/SyntheticGeometry/syntheticgeometry_26675noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5166, "image": "images/SyntheticGeometry/syntheticgeometry_07544.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5167, "image": "images/SyntheticGeometry/syntheticgeometry_30903.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5168, "image": "images/SyntheticGeometry/syntheticgeometry_04885noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5169, "image": "images/SyntheticGeometry/syntheticgeometry_49558.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5170, "image": "images/SyntheticGeometry/syntheticgeometry_11944.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5171, "image": "images/SyntheticGeometry/syntheticgeometry_44498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5172, "image": "images/SyntheticGeometry/syntheticgeometry_37974noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5173, "image": "images/SyntheticGeometry/syntheticgeometry_23924.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5174, "image": "images/SyntheticGeometry/syntheticgeometry_03592noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5175, "image": "images/SyntheticGeometry/syntheticgeometry_05170.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5176, "image": "images/SyntheticGeometry/syntheticgeometry_04676noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5177, "image": "images/SyntheticGeometry/syntheticgeometry_26008noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5178, "image": "images/SyntheticGeometry/syntheticgeometry_42959noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5179, "image": "images/SyntheticGeometry/syntheticgeometry_25891.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5180, "image": "images/SyntheticGeometry/syntheticgeometry_34356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5181, "image": "images/SyntheticGeometry/syntheticgeometry_42378noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5182, "image": "images/SyntheticGeometry/syntheticgeometry_29102noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5183, "image": "images/SyntheticGeometry/syntheticgeometry_40610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5184, "image": "images/SyntheticGeometry/syntheticgeometry_06260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5185, "image": "images/SyntheticGeometry/syntheticgeometry_49854noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5186, "image": "images/SyntheticGeometry/syntheticgeometry_33999noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5187, "image": "images/SyntheticGeometry/syntheticgeometry_44161.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5188, "image": "images/SyntheticGeometry/syntheticgeometry_28640noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5189, "image": "images/SyntheticGeometry/syntheticgeometry_20473.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5190, "image": "images/SyntheticGeometry/syntheticgeometry_47505noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5191, "image": "images/SyntheticGeometry/syntheticgeometry_43941noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5192, "image": "images/SyntheticGeometry/syntheticgeometry_07272.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5193, "image": "images/SyntheticGeometry/syntheticgeometry_04843noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5194, "image": "images/SyntheticGeometry/syntheticgeometry_04003noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5195, "image": "images/SyntheticGeometry/syntheticgeometry_49399noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5196, "image": "images/SyntheticGeometry/syntheticgeometry_03843noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5197, "image": "images/SyntheticGeometry/syntheticgeometry_35654noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5198, "image": "images/SyntheticGeometry/syntheticgeometry_46041.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5199, "image": "images/SyntheticGeometry/syntheticgeometry_25681.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5200, "image": "images/SyntheticGeometry/syntheticgeometry_05286.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5201, "image": "images/SyntheticGeometry/syntheticgeometry_41764.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5202, "image": "images/SyntheticGeometry/syntheticgeometry_14180.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5203, "image": "images/SyntheticGeometry/syntheticgeometry_37930noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5204, "image": "images/SyntheticGeometry/syntheticgeometry_34848noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5205, "image": "images/SyntheticGeometry/syntheticgeometry_30227noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5206, "image": "images/SyntheticGeometry/syntheticgeometry_49400noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5207, "image": "images/SyntheticGeometry/syntheticgeometry_20849noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5208, "image": "images/SyntheticGeometry/syntheticgeometry_15610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5209, "image": "images/SyntheticGeometry/syntheticgeometry_37476.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5210, "image": "images/SyntheticGeometry/syntheticgeometry_28331noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5211, "image": "images/SyntheticGeometry/syntheticgeometry_05120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5212, "image": "images/SyntheticGeometry/syntheticgeometry_17497noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5213, "image": "images/SyntheticGeometry/syntheticgeometry_06764.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5214, "image": "images/SyntheticGeometry/syntheticgeometry_24518noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5215, "image": "images/SyntheticGeometry/syntheticgeometry_37204noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5216, "image": "images/SyntheticGeometry/syntheticgeometry_35085noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5217, "image": "images/SyntheticGeometry/syntheticgeometry_45019.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5218, "image": "images/SyntheticGeometry/syntheticgeometry_21688.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5219, "image": "images/SyntheticGeometry/syntheticgeometry_19812noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5220, "image": "images/SyntheticGeometry/syntheticgeometry_31826noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5221, "image": "images/SyntheticGeometry/syntheticgeometry_39724.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5222, "image": "images/SyntheticGeometry/syntheticgeometry_16235noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5223, "image": "images/SyntheticGeometry/syntheticgeometry_05598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5224, "image": "images/SyntheticGeometry/syntheticgeometry_26872.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5225, "image": "images/SyntheticGeometry/syntheticgeometry_44964.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5226, "image": "images/SyntheticGeometry/syntheticgeometry_21218noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5227, "image": "images/SyntheticGeometry/syntheticgeometry_20091.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5228, "image": "images/SyntheticGeometry/syntheticgeometry_30177.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5229, "image": "images/SyntheticGeometry/syntheticgeometry_38551noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5230, "image": "images/SyntheticGeometry/syntheticgeometry_38180.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5231, "image": "images/SyntheticGeometry/syntheticgeometry_15958noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5232, "image": "images/SyntheticGeometry/syntheticgeometry_20936.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5233, "image": "images/SyntheticGeometry/syntheticgeometry_30809noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5234, "image": "images/SyntheticGeometry/syntheticgeometry_34642.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5235, "image": "images/SyntheticGeometry/syntheticgeometry_04506.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5236, "image": "images/SyntheticGeometry/syntheticgeometry_22415.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5237, "image": "images/SyntheticGeometry/syntheticgeometry_37060.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5238, "image": "images/SyntheticGeometry/syntheticgeometry_30792.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5239, "image": "images/SyntheticGeometry/syntheticgeometry_20631noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5240, "image": "images/SyntheticGeometry/syntheticgeometry_37259noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5241, "image": "images/SyntheticGeometry/syntheticgeometry_46077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5242, "image": "images/SyntheticGeometry/syntheticgeometry_30538noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5243, "image": "images/SyntheticGeometry/syntheticgeometry_21322.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5244, "image": "images/SyntheticGeometry/syntheticgeometry_06925noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5245, "image": "images/SyntheticGeometry/syntheticgeometry_20832.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5246, "image": "images/SyntheticGeometry/syntheticgeometry_43086noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5247, "image": "images/SyntheticGeometry/syntheticgeometry_37742noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5248, "image": "images/SyntheticGeometry/syntheticgeometry_19581noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5249, "image": "images/SyntheticGeometry/syntheticgeometry_07767noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5250, "image": "images/SyntheticGeometry/syntheticgeometry_49772noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5251, "image": "images/SyntheticGeometry/syntheticgeometry_21989.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5252, "image": "images/SyntheticGeometry/syntheticgeometry_19803.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5253, "image": "images/SyntheticGeometry/syntheticgeometry_27278noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5254, "image": "images/SyntheticGeometry/syntheticgeometry_42489noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5255, "image": "images/SyntheticGeometry/syntheticgeometry_14317.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5256, "image": "images/SyntheticGeometry/syntheticgeometry_49174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5257, "image": "images/SyntheticGeometry/syntheticgeometry_31078.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5258, "image": "images/SyntheticGeometry/syntheticgeometry_32703noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5259, "image": "images/SyntheticGeometry/syntheticgeometry_29999noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5260, "image": "images/SyntheticGeometry/syntheticgeometry_37168.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5261, "image": "images/SyntheticGeometry/syntheticgeometry_43090.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5262, "image": "images/SyntheticGeometry/syntheticgeometry_08162noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5263, "image": "images/SyntheticGeometry/syntheticgeometry_12117.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5264, "image": "images/SyntheticGeometry/syntheticgeometry_38230noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5265, "image": "images/SyntheticGeometry/syntheticgeometry_26132.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5266, "image": "images/SyntheticGeometry/syntheticgeometry_32052noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5267, "image": "images/SyntheticGeometry/syntheticgeometry_10572noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5268, "image": "images/SyntheticGeometry/syntheticgeometry_34148noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5269, "image": "images/SyntheticGeometry/syntheticgeometry_46685.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5270, "image": "images/SyntheticGeometry/syntheticgeometry_39849.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5271, "image": "images/SyntheticGeometry/syntheticgeometry_25518noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5272, "image": "images/SyntheticGeometry/syntheticgeometry_30854.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5273, "image": "images/SyntheticGeometry/syntheticgeometry_35106noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5274, "image": "images/SyntheticGeometry/syntheticgeometry_14697.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5275, "image": "images/SyntheticGeometry/syntheticgeometry_39987noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5276, "image": "images/SyntheticGeometry/syntheticgeometry_20250noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5277, "image": "images/SyntheticGeometry/syntheticgeometry_14699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5278, "image": "images/SyntheticGeometry/syntheticgeometry_03653noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5279, "image": "images/SyntheticGeometry/syntheticgeometry_37324.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5280, "image": "images/SyntheticGeometry/syntheticgeometry_40564noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5281, "image": "images/SyntheticGeometry/syntheticgeometry_21739.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5282, "image": "images/SyntheticGeometry/syntheticgeometry_32790noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5283, "image": "images/SyntheticGeometry/syntheticgeometry_46374.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5284, "image": "images/SyntheticGeometry/syntheticgeometry_11643noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5285, "image": "images/SyntheticGeometry/syntheticgeometry_11146.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5286, "image": "images/SyntheticGeometry/syntheticgeometry_07205.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5287, "image": "images/SyntheticGeometry/syntheticgeometry_34809.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5288, "image": "images/SyntheticGeometry/syntheticgeometry_18969noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5289, "image": "images/SyntheticGeometry/syntheticgeometry_07857noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5290, "image": "images/SyntheticGeometry/syntheticgeometry_17510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5291, "image": "images/SyntheticGeometry/syntheticgeometry_20851noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5292, "image": "images/SyntheticGeometry/syntheticgeometry_46083noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5293, "image": "images/SyntheticGeometry/syntheticgeometry_49570noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5294, "image": "images/SyntheticGeometry/syntheticgeometry_33009noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5295, "image": "images/SyntheticGeometry/syntheticgeometry_43790noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5296, "image": "images/SyntheticGeometry/syntheticgeometry_38518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5297, "image": "images/SyntheticGeometry/syntheticgeometry_31596.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5298, "image": "images/SyntheticGeometry/syntheticgeometry_39796.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5299, "image": "images/SyntheticGeometry/syntheticgeometry_32491noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5300, "image": "images/SyntheticGeometry/syntheticgeometry_31158.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5301, "image": "images/SyntheticGeometry/syntheticgeometry_09544noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5302, "image": "images/SyntheticGeometry/syntheticgeometry_29481.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5303, "image": "images/SyntheticGeometry/syntheticgeometry_09484.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5304, "image": "images/SyntheticGeometry/syntheticgeometry_21114.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5305, "image": "images/SyntheticGeometry/syntheticgeometry_38102noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5306, "image": "images/SyntheticGeometry/syntheticgeometry_21864.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5307, "image": "images/SyntheticGeometry/syntheticgeometry_03508noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5308, "image": "images/SyntheticGeometry/syntheticgeometry_02816noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5309, "image": "images/SyntheticGeometry/syntheticgeometry_18875noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5310, "image": "images/SyntheticGeometry/syntheticgeometry_19758noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5311, "image": "images/SyntheticGeometry/syntheticgeometry_14871noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5312, "image": "images/SyntheticGeometry/syntheticgeometry_02967noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5313, "image": "images/SyntheticGeometry/syntheticgeometry_26297noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5314, "image": "images/SyntheticGeometry/syntheticgeometry_23563noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5315, "image": "images/SyntheticGeometry/syntheticgeometry_29174noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5316, "image": "images/SyntheticGeometry/syntheticgeometry_24957noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5317, "image": "images/SyntheticGeometry/syntheticgeometry_10634noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5318, "image": "images/SyntheticGeometry/syntheticgeometry_12017.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5319, "image": "images/SyntheticGeometry/syntheticgeometry_07216noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5320, "image": "images/SyntheticGeometry/syntheticgeometry_49704noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5321, "image": "images/SyntheticGeometry/syntheticgeometry_41292.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5322, "image": "images/SyntheticGeometry/syntheticgeometry_07000noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5323, "image": "images/SyntheticGeometry/syntheticgeometry_23443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5324, "image": "images/SyntheticGeometry/syntheticgeometry_11704noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5325, "image": "images/SyntheticGeometry/syntheticgeometry_39549.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5326, "image": "images/SyntheticGeometry/syntheticgeometry_22168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5327, "image": "images/SyntheticGeometry/syntheticgeometry_38833.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5328, "image": "images/SyntheticGeometry/syntheticgeometry_16119.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5329, "image": "images/SyntheticGeometry/syntheticgeometry_18614noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5330, "image": "images/SyntheticGeometry/syntheticgeometry_36694noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5331, "image": "images/SyntheticGeometry/syntheticgeometry_32603noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5332, "image": "images/SyntheticGeometry/syntheticgeometry_25186noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5333, "image": "images/SyntheticGeometry/syntheticgeometry_43335.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5334, "image": "images/SyntheticGeometry/syntheticgeometry_25195.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5335, "image": "images/SyntheticGeometry/syntheticgeometry_49914noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5336, "image": "images/SyntheticGeometry/syntheticgeometry_17654noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5337, "image": "images/SyntheticGeometry/syntheticgeometry_05206.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5338, "image": "images/SyntheticGeometry/syntheticgeometry_36839.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5339, "image": "images/SyntheticGeometry/syntheticgeometry_18101.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5340, "image": "images/SyntheticGeometry/syntheticgeometry_43095noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5341, "image": "images/SyntheticGeometry/syntheticgeometry_15941.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5342, "image": "images/SyntheticGeometry/syntheticgeometry_43079noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5343, "image": "images/SyntheticGeometry/syntheticgeometry_15942noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5344, "image": "images/SyntheticGeometry/syntheticgeometry_02971noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5345, "image": "images/SyntheticGeometry/syntheticgeometry_23067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5346, "image": "images/SyntheticGeometry/syntheticgeometry_36209noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5347, "image": "images/SyntheticGeometry/syntheticgeometry_14637.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5348, "image": "images/SyntheticGeometry/syntheticgeometry_31908noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5349, "image": "images/SyntheticGeometry/syntheticgeometry_42449.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5350, "image": "images/SyntheticGeometry/syntheticgeometry_02959noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5351, "image": "images/SyntheticGeometry/syntheticgeometry_49498noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5352, "image": "images/SyntheticGeometry/syntheticgeometry_47556noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5353, "image": "images/SyntheticGeometry/syntheticgeometry_13511noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5354, "image": "images/SyntheticGeometry/syntheticgeometry_18086noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JMF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5355, "image": "images/SyntheticGeometry/syntheticgeometry_45680noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5356, "image": "images/SyntheticGeometry/syntheticgeometry_29707noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5357, "image": "images/SyntheticGeometry/syntheticgeometry_18573noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5358, "image": "images/SyntheticGeometry/syntheticgeometry_47469noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5359, "image": "images/SyntheticGeometry/syntheticgeometry_18094noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5360, "image": "images/SyntheticGeometry/syntheticgeometry_42629.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5361, "image": "images/SyntheticGeometry/syntheticgeometry_34533noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5362, "image": "images/SyntheticGeometry/syntheticgeometry_41488.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5363, "image": "images/SyntheticGeometry/syntheticgeometry_08002noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5364, "image": "images/SyntheticGeometry/syntheticgeometry_46869noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5365, "image": "images/SyntheticGeometry/syntheticgeometry_43255noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5366, "image": "images/SyntheticGeometry/syntheticgeometry_48563noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5367, "image": "images/SyntheticGeometry/syntheticgeometry_27680noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5368, "image": "images/SyntheticGeometry/syntheticgeometry_19175noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5369, "image": "images/SyntheticGeometry/syntheticgeometry_10329noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5370, "image": "images/SyntheticGeometry/syntheticgeometry_37761noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5371, "image": "images/SyntheticGeometry/syntheticgeometry_27580noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5372, "image": "images/SyntheticGeometry/syntheticgeometry_04035noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5373, "image": "images/SyntheticGeometry/syntheticgeometry_14195noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5374, "image": "images/SyntheticGeometry/syntheticgeometry_33807noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5375, "image": "images/SyntheticGeometry/syntheticgeometry_03228.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5376, "image": "images/SyntheticGeometry/syntheticgeometry_29136noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5377, "image": "images/SyntheticGeometry/syntheticgeometry_05559noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5378, "image": "images/SyntheticGeometry/syntheticgeometry_44739noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5379, "image": "images/SyntheticGeometry/syntheticgeometry_29339.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5380, "image": "images/SyntheticGeometry/syntheticgeometry_03528noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5381, "image": "images/SyntheticGeometry/syntheticgeometry_11166noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5382, "image": "images/SyntheticGeometry/syntheticgeometry_41427noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5383, "image": "images/SyntheticGeometry/syntheticgeometry_07464noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5384, "image": "images/SyntheticGeometry/syntheticgeometry_33132noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5385, "image": "images/SyntheticGeometry/syntheticgeometry_22621.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5386, "image": "images/SyntheticGeometry/syntheticgeometry_35609noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5387, "image": "images/SyntheticGeometry/syntheticgeometry_34570.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5388, "image": "images/SyntheticGeometry/syntheticgeometry_04161.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5389, "image": "images/SyntheticGeometry/syntheticgeometry_44487.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5390, "image": "images/SyntheticGeometry/syntheticgeometry_37675noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5391, "image": "images/SyntheticGeometry/syntheticgeometry_21183noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5392, "image": "images/SyntheticGeometry/syntheticgeometry_24057.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5393, "image": "images/SyntheticGeometry/syntheticgeometry_14501noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5394, "image": "images/SyntheticGeometry/syntheticgeometry_36834.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5395, "image": "images/SyntheticGeometry/syntheticgeometry_35027.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5396, "image": "images/SyntheticGeometry/syntheticgeometry_32513noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5397, "image": "images/SyntheticGeometry/syntheticgeometry_25153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5398, "image": "images/SyntheticGeometry/syntheticgeometry_21828noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5399, "image": "images/SyntheticGeometry/syntheticgeometry_43793noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5400, "image": "images/SyntheticGeometry/syntheticgeometry_23184noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5401, "image": "images/SyntheticGeometry/syntheticgeometry_06049.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5402, "image": "images/SyntheticGeometry/syntheticgeometry_49689.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GJS in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5403, "image": "images/SyntheticGeometry/syntheticgeometry_22315noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5404, "image": "images/SyntheticGeometry/syntheticgeometry_13087.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5405, "image": "images/SyntheticGeometry/syntheticgeometry_13747noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5406, "image": "images/SyntheticGeometry/syntheticgeometry_12641.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5407, "image": "images/SyntheticGeometry/syntheticgeometry_36367noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5408, "image": "images/SyntheticGeometry/syntheticgeometry_13000.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5409, "image": "images/SyntheticGeometry/syntheticgeometry_24697.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5410, "image": "images/SyntheticGeometry/syntheticgeometry_39293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5411, "image": "images/SyntheticGeometry/syntheticgeometry_36485noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5412, "image": "images/SyntheticGeometry/syntheticgeometry_27159noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MCE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5413, "image": "images/SyntheticGeometry/syntheticgeometry_18204noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5414, "image": "images/SyntheticGeometry/syntheticgeometry_25356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5415, "image": "images/SyntheticGeometry/syntheticgeometry_42204noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NQG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5416, "image": "images/SyntheticGeometry/syntheticgeometry_48261noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5417, "image": "images/SyntheticGeometry/syntheticgeometry_40633noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5418, "image": "images/SyntheticGeometry/syntheticgeometry_27738noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5419, "image": "images/SyntheticGeometry/syntheticgeometry_30293.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5420, "image": "images/SyntheticGeometry/syntheticgeometry_16173.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5421, "image": "images/SyntheticGeometry/syntheticgeometry_42272noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5422, "image": "images/SyntheticGeometry/syntheticgeometry_06872.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5423, "image": "images/SyntheticGeometry/syntheticgeometry_26665.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5424, "image": "images/SyntheticGeometry/syntheticgeometry_30898.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5425, "image": "images/SyntheticGeometry/syntheticgeometry_19805.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5426, "image": "images/SyntheticGeometry/syntheticgeometry_03476noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5427, "image": "images/SyntheticGeometry/syntheticgeometry_22331.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5428, "image": "images/SyntheticGeometry/syntheticgeometry_47039.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5429, "image": "images/SyntheticGeometry/syntheticgeometry_13346noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5430, "image": "images/SyntheticGeometry/syntheticgeometry_43153noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5431, "image": "images/SyntheticGeometry/syntheticgeometry_31107.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5432, "image": "images/SyntheticGeometry/syntheticgeometry_11000.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5433, "image": "images/SyntheticGeometry/syntheticgeometry_06194noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5434, "image": "images/SyntheticGeometry/syntheticgeometry_06405noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5435, "image": "images/SyntheticGeometry/syntheticgeometry_14608noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5436, "image": "images/SyntheticGeometry/syntheticgeometry_37222.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5437, "image": "images/SyntheticGeometry/syntheticgeometry_08148.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5438, "image": "images/SyntheticGeometry/syntheticgeometry_38874.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5439, "image": "images/SyntheticGeometry/syntheticgeometry_16662noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5440, "image": "images/SyntheticGeometry/syntheticgeometry_34610noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5441, "image": "images/SyntheticGeometry/syntheticgeometry_25654.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5442, "image": "images/SyntheticGeometry/syntheticgeometry_11675noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5443, "image": "images/SyntheticGeometry/syntheticgeometry_33034.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5444, "image": "images/SyntheticGeometry/syntheticgeometry_31368.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5445, "image": "images/SyntheticGeometry/syntheticgeometry_41941noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5446, "image": "images/SyntheticGeometry/syntheticgeometry_05513.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5447, "image": "images/SyntheticGeometry/syntheticgeometry_40708noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5448, "image": "images/SyntheticGeometry/syntheticgeometry_27832noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5449, "image": "images/SyntheticGeometry/syntheticgeometry_44656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5450, "image": "images/SyntheticGeometry/syntheticgeometry_15459.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5451, "image": "images/SyntheticGeometry/syntheticgeometry_28479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5452, "image": "images/SyntheticGeometry/syntheticgeometry_15985noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5453, "image": "images/SyntheticGeometry/syntheticgeometry_22212noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5454, "image": "images/SyntheticGeometry/syntheticgeometry_13011noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5455, "image": "images/SyntheticGeometry/syntheticgeometry_42929noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5456, "image": "images/SyntheticGeometry/syntheticgeometry_41616noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5457, "image": "images/SyntheticGeometry/syntheticgeometry_17870noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5458, "image": "images/SyntheticGeometry/syntheticgeometry_49277noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5459, "image": "images/SyntheticGeometry/syntheticgeometry_34046noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5460, "image": "images/SyntheticGeometry/syntheticgeometry_39867.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5461, "image": "images/SyntheticGeometry/syntheticgeometry_32162noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5462, "image": "images/SyntheticGeometry/syntheticgeometry_49944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5463, "image": "images/SyntheticGeometry/syntheticgeometry_12056noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5464, "image": "images/SyntheticGeometry/syntheticgeometry_04364noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5465, "image": "images/SyntheticGeometry/syntheticgeometry_33736.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5466, "image": "images/SyntheticGeometry/syntheticgeometry_02887noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5467, "image": "images/SyntheticGeometry/syntheticgeometry_36692.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5468, "image": "images/SyntheticGeometry/syntheticgeometry_25828noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5469, "image": "images/SyntheticGeometry/syntheticgeometry_19401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5470, "image": "images/SyntheticGeometry/syntheticgeometry_18597noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5471, "image": "images/SyntheticGeometry/syntheticgeometry_42079noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5472, "image": "images/SyntheticGeometry/syntheticgeometry_05165.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5473, "image": "images/SyntheticGeometry/syntheticgeometry_22109noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5474, "image": "images/SyntheticGeometry/syntheticgeometry_21495noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5475, "image": "images/SyntheticGeometry/syntheticgeometry_22835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5476, "image": "images/SyntheticGeometry/syntheticgeometry_08620noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5477, "image": "images/SyntheticGeometry/syntheticgeometry_26362.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5478, "image": "images/SyntheticGeometry/syntheticgeometry_23175noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5479, "image": "images/SyntheticGeometry/syntheticgeometry_16717.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5480, "image": "images/SyntheticGeometry/syntheticgeometry_36643.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5481, "image": "images/SyntheticGeometry/syntheticgeometry_42905noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5482, "image": "images/SyntheticGeometry/syntheticgeometry_18222noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5483, "image": "images/SyntheticGeometry/syntheticgeometry_48033.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5484, "image": "images/SyntheticGeometry/syntheticgeometry_30309noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5485, "image": "images/SyntheticGeometry/syntheticgeometry_16836noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5486, "image": "images/SyntheticGeometry/syntheticgeometry_49795noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5487, "image": "images/SyntheticGeometry/syntheticgeometry_43501.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5488, "image": "images/SyntheticGeometry/syntheticgeometry_25432.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5489, "image": "images/SyntheticGeometry/syntheticgeometry_30723noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5490, "image": "images/SyntheticGeometry/syntheticgeometry_30531noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5491, "image": "images/SyntheticGeometry/syntheticgeometry_21732noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5492, "image": "images/SyntheticGeometry/syntheticgeometry_29616.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5493, "image": "images/SyntheticGeometry/syntheticgeometry_40742noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5494, "image": "images/SyntheticGeometry/syntheticgeometry_03810noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5495, "image": "images/SyntheticGeometry/syntheticgeometry_45697.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5496, "image": "images/SyntheticGeometry/syntheticgeometry_29241noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5497, "image": "images/SyntheticGeometry/syntheticgeometry_06479noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5498, "image": "images/SyntheticGeometry/syntheticgeometry_10886noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5499, "image": "images/SyntheticGeometry/syntheticgeometry_04509noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5500, "image": "images/SyntheticGeometry/syntheticgeometry_17268noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5501, "image": "images/SyntheticGeometry/syntheticgeometry_28841noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5502, "image": "images/SyntheticGeometry/syntheticgeometry_13510noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5503, "image": "images/SyntheticGeometry/syntheticgeometry_37066noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KMD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5504, "image": "images/SyntheticGeometry/syntheticgeometry_30261.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5505, "image": "images/SyntheticGeometry/syntheticgeometry_37255noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5506, "image": "images/SyntheticGeometry/syntheticgeometry_18569noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5507, "image": "images/SyntheticGeometry/syntheticgeometry_05615.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5508, "image": "images/SyntheticGeometry/syntheticgeometry_15664noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5509, "image": "images/SyntheticGeometry/syntheticgeometry_43702noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5510, "image": "images/SyntheticGeometry/syntheticgeometry_48791noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5511, "image": "images/SyntheticGeometry/syntheticgeometry_30328.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5512, "image": "images/SyntheticGeometry/syntheticgeometry_02049.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5513, "image": "images/SyntheticGeometry/syntheticgeometry_20700noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5514, "image": "images/SyntheticGeometry/syntheticgeometry_29454.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5515, "image": "images/SyntheticGeometry/syntheticgeometry_17576.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5516, "image": "images/SyntheticGeometry/syntheticgeometry_24973.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5517, "image": "images/SyntheticGeometry/syntheticgeometry_44253.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5518, "image": "images/SyntheticGeometry/syntheticgeometry_23131.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5519, "image": "images/SyntheticGeometry/syntheticgeometry_06036noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5520, "image": "images/SyntheticGeometry/syntheticgeometry_47667.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5521, "image": "images/SyntheticGeometry/syntheticgeometry_48347noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5522, "image": "images/SyntheticGeometry/syntheticgeometry_38240.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5523, "image": "images/SyntheticGeometry/syntheticgeometry_31394noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5524, "image": "images/SyntheticGeometry/syntheticgeometry_07790.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5525, "image": "images/SyntheticGeometry/syntheticgeometry_47305noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5526, "image": "images/SyntheticGeometry/syntheticgeometry_18879noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5527, "image": "images/SyntheticGeometry/syntheticgeometry_30467.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5528, "image": "images/SyntheticGeometry/syntheticgeometry_37642.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5529, "image": "images/SyntheticGeometry/syntheticgeometry_30989noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5530, "image": "images/SyntheticGeometry/syntheticgeometry_36384.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5531, "image": "images/SyntheticGeometry/syntheticgeometry_05084.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5532, "image": "images/SyntheticGeometry/syntheticgeometry_40309.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5533, "image": "images/SyntheticGeometry/syntheticgeometry_12145noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5534, "image": "images/SyntheticGeometry/syntheticgeometry_20429.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5535, "image": "images/SyntheticGeometry/syntheticgeometry_40382.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5536, "image": "images/SyntheticGeometry/syntheticgeometry_38376noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5537, "image": "images/SyntheticGeometry/syntheticgeometry_20884.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5538, "image": "images/SyntheticGeometry/syntheticgeometry_11744.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5539, "image": "images/SyntheticGeometry/syntheticgeometry_12023noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5540, "image": "images/SyntheticGeometry/syntheticgeometry_05309noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5541, "image": "images/SyntheticGeometry/syntheticgeometry_46375.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5542, "image": "images/SyntheticGeometry/syntheticgeometry_48884noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5543, "image": "images/SyntheticGeometry/syntheticgeometry_46858.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5544, "image": "images/SyntheticGeometry/syntheticgeometry_09882noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5545, "image": "images/SyntheticGeometry/syntheticgeometry_13780.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5546, "image": "images/SyntheticGeometry/syntheticgeometry_42587noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5547, "image": "images/SyntheticGeometry/syntheticgeometry_40760.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5548, "image": "images/SyntheticGeometry/syntheticgeometry_06724noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5549, "image": "images/SyntheticGeometry/syntheticgeometry_31593.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5550, "image": "images/SyntheticGeometry/syntheticgeometry_45716noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5551, "image": "images/SyntheticGeometry/syntheticgeometry_26878.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5552, "image": "images/SyntheticGeometry/syntheticgeometry_19195noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5553, "image": "images/SyntheticGeometry/syntheticgeometry_28468noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5554, "image": "images/SyntheticGeometry/syntheticgeometry_17012.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5555, "image": "images/SyntheticGeometry/syntheticgeometry_42374noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5556, "image": "images/SyntheticGeometry/syntheticgeometry_05305.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5557, "image": "images/SyntheticGeometry/syntheticgeometry_39150noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5558, "image": "images/SyntheticGeometry/syntheticgeometry_18681noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5559, "image": "images/SyntheticGeometry/syntheticgeometry_23855.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5560, "image": "images/SyntheticGeometry/syntheticgeometry_18103.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5561, "image": "images/SyntheticGeometry/syntheticgeometry_40823noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5562, "image": "images/SyntheticGeometry/syntheticgeometry_24478noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5563, "image": "images/SyntheticGeometry/syntheticgeometry_40726noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5564, "image": "images/SyntheticGeometry/syntheticgeometry_23296.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5565, "image": "images/SyntheticGeometry/syntheticgeometry_04287noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5566, "image": "images/SyntheticGeometry/syntheticgeometry_27301.png", "conversations": [{"from": "human", "value": "\nThere is no triangle MFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5567, "image": "images/SyntheticGeometry/syntheticgeometry_43426noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5568, "image": "images/SyntheticGeometry/syntheticgeometry_24379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5569, "image": "images/SyntheticGeometry/syntheticgeometry_34608.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5570, "image": "images/SyntheticGeometry/syntheticgeometry_08359noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5571, "image": "images/SyntheticGeometry/syntheticgeometry_32885noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5572, "image": "images/SyntheticGeometry/syntheticgeometry_12598noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5573, "image": "images/SyntheticGeometry/syntheticgeometry_34558noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5574, "image": "images/SyntheticGeometry/syntheticgeometry_45849noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5575, "image": "images/SyntheticGeometry/syntheticgeometry_31578noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5576, "image": "images/SyntheticGeometry/syntheticgeometry_26671noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5577, "image": "images/SyntheticGeometry/syntheticgeometry_43841noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5578, "image": "images/SyntheticGeometry/syntheticgeometry_34969.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5579, "image": "images/SyntheticGeometry/syntheticgeometry_06875noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5580, "image": "images/SyntheticGeometry/syntheticgeometry_39184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5581, "image": "images/SyntheticGeometry/syntheticgeometry_23015noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5582, "image": "images/SyntheticGeometry/syntheticgeometry_22100.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5583, "image": "images/SyntheticGeometry/syntheticgeometry_04782.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5584, "image": "images/SyntheticGeometry/syntheticgeometry_30961.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5585, "image": "images/SyntheticGeometry/syntheticgeometry_32349noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5586, "image": "images/SyntheticGeometry/syntheticgeometry_33793.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5587, "image": "images/SyntheticGeometry/syntheticgeometry_37717noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5588, "image": "images/SyntheticGeometry/syntheticgeometry_46810.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5589, "image": "images/SyntheticGeometry/syntheticgeometry_24648noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5590, "image": "images/SyntheticGeometry/syntheticgeometry_36203.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5591, "image": "images/SyntheticGeometry/syntheticgeometry_43879.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5592, "image": "images/SyntheticGeometry/syntheticgeometry_32867.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5593, "image": "images/SyntheticGeometry/syntheticgeometry_39343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5594, "image": "images/SyntheticGeometry/syntheticgeometry_36470noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5595, "image": "images/SyntheticGeometry/syntheticgeometry_09114.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5596, "image": "images/SyntheticGeometry/syntheticgeometry_45911noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5597, "image": "images/SyntheticGeometry/syntheticgeometry_31834.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5598, "image": "images/SyntheticGeometry/syntheticgeometry_45799.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5599, "image": "images/SyntheticGeometry/syntheticgeometry_43041.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5600, "image": "images/SyntheticGeometry/syntheticgeometry_28897.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5601, "image": "images/SyntheticGeometry/syntheticgeometry_42651noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5602, "image": "images/SyntheticGeometry/syntheticgeometry_06330.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5603, "image": "images/SyntheticGeometry/syntheticgeometry_06159noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5604, "image": "images/SyntheticGeometry/syntheticgeometry_24929.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5605, "image": "images/SyntheticGeometry/syntheticgeometry_30708noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5606, "image": "images/SyntheticGeometry/syntheticgeometry_29948noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5607, "image": "images/SyntheticGeometry/syntheticgeometry_21253.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5608, "image": "images/SyntheticGeometry/syntheticgeometry_10788.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5609, "image": "images/SyntheticGeometry/syntheticgeometry_42032noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5610, "image": "images/SyntheticGeometry/syntheticgeometry_28608noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5611, "image": "images/SyntheticGeometry/syntheticgeometry_17406.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5612, "image": "images/SyntheticGeometry/syntheticgeometry_06259.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5613, "image": "images/SyntheticGeometry/syntheticgeometry_24488.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5614, "image": "images/SyntheticGeometry/syntheticgeometry_40512noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5615, "image": "images/SyntheticGeometry/syntheticgeometry_10074noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5616, "image": "images/SyntheticGeometry/syntheticgeometry_03677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5617, "image": "images/SyntheticGeometry/syntheticgeometry_25611noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5618, "image": "images/SyntheticGeometry/syntheticgeometry_34178noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5619, "image": "images/SyntheticGeometry/syntheticgeometry_20414noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CLF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5620, "image": "images/SyntheticGeometry/syntheticgeometry_42429noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5621, "image": "images/SyntheticGeometry/syntheticgeometry_25375.png", "conversations": [{"from": "human", "value": "\nThere is no triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5622, "image": "images/SyntheticGeometry/syntheticgeometry_32756noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5623, "image": "images/SyntheticGeometry/syntheticgeometry_31590.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5624, "image": "images/SyntheticGeometry/syntheticgeometry_06392noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5625, "image": "images/SyntheticGeometry/syntheticgeometry_26198noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5626, "image": "images/SyntheticGeometry/syntheticgeometry_39070noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5627, "image": "images/SyntheticGeometry/syntheticgeometry_25258.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5628, "image": "images/SyntheticGeometry/syntheticgeometry_13829noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5629, "image": "images/SyntheticGeometry/syntheticgeometry_09564.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5630, "image": "images/SyntheticGeometry/syntheticgeometry_24725noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5631, "image": "images/SyntheticGeometry/syntheticgeometry_45880.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5632, "image": "images/SyntheticGeometry/syntheticgeometry_06322noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5633, "image": "images/SyntheticGeometry/syntheticgeometry_24280.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5634, "image": "images/SyntheticGeometry/syntheticgeometry_42802noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5635, "image": "images/SyntheticGeometry/syntheticgeometry_25519noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5636, "image": "images/SyntheticGeometry/syntheticgeometry_32849noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5637, "image": "images/SyntheticGeometry/syntheticgeometry_20261noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5638, "image": "images/SyntheticGeometry/syntheticgeometry_15686.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5639, "image": "images/SyntheticGeometry/syntheticgeometry_36523noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5640, "image": "images/SyntheticGeometry/syntheticgeometry_02047.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5641, "image": "images/SyntheticGeometry/syntheticgeometry_26549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5642, "image": "images/SyntheticGeometry/syntheticgeometry_48972noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5643, "image": "images/SyntheticGeometry/syntheticgeometry_25192.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5644, "image": "images/SyntheticGeometry/syntheticgeometry_29561.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5645, "image": "images/SyntheticGeometry/syntheticgeometry_26501.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5646, "image": "images/SyntheticGeometry/syntheticgeometry_23476.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5647, "image": "images/SyntheticGeometry/syntheticgeometry_08229noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5648, "image": "images/SyntheticGeometry/syntheticgeometry_14012noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5649, "image": "images/SyntheticGeometry/syntheticgeometry_39650noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5650, "image": "images/SyntheticGeometry/syntheticgeometry_34201noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5651, "image": "images/SyntheticGeometry/syntheticgeometry_18919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5652, "image": "images/SyntheticGeometry/syntheticgeometry_34216noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5653, "image": "images/SyntheticGeometry/syntheticgeometry_26811.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5654, "image": "images/SyntheticGeometry/syntheticgeometry_04722.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5655, "image": "images/SyntheticGeometry/syntheticgeometry_20515noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5656, "image": "images/SyntheticGeometry/syntheticgeometry_11788noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5657, "image": "images/SyntheticGeometry/syntheticgeometry_44157noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5658, "image": "images/SyntheticGeometry/syntheticgeometry_45655noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5659, "image": "images/SyntheticGeometry/syntheticgeometry_34069.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5660, "image": "images/SyntheticGeometry/syntheticgeometry_34391noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5661, "image": "images/SyntheticGeometry/syntheticgeometry_32949noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5662, "image": "images/SyntheticGeometry/syntheticgeometry_43655.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5663, "image": "images/SyntheticGeometry/syntheticgeometry_27891noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5664, "image": "images/SyntheticGeometry/syntheticgeometry_17816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5665, "image": "images/SyntheticGeometry/syntheticgeometry_39111.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5666, "image": "images/SyntheticGeometry/syntheticgeometry_47894.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5667, "image": "images/SyntheticGeometry/syntheticgeometry_23701.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5668, "image": "images/SyntheticGeometry/syntheticgeometry_02909noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5669, "image": "images/SyntheticGeometry/syntheticgeometry_04076.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5670, "image": "images/SyntheticGeometry/syntheticgeometry_08178noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5671, "image": "images/SyntheticGeometry/syntheticgeometry_46629noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5672, "image": "images/SyntheticGeometry/syntheticgeometry_19329noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5673, "image": "images/SyntheticGeometry/syntheticgeometry_12730.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5674, "image": "images/SyntheticGeometry/syntheticgeometry_17056.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5675, "image": "images/SyntheticGeometry/syntheticgeometry_31744noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5676, "image": "images/SyntheticGeometry/syntheticgeometry_35618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5677, "image": "images/SyntheticGeometry/syntheticgeometry_22303noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5678, "image": "images/SyntheticGeometry/syntheticgeometry_37709noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5679, "image": "images/SyntheticGeometry/syntheticgeometry_13313.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5680, "image": "images/SyntheticGeometry/syntheticgeometry_23897.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5681, "image": "images/SyntheticGeometry/syntheticgeometry_34377noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5682, "image": "images/SyntheticGeometry/syntheticgeometry_02478noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5683, "image": "images/SyntheticGeometry/syntheticgeometry_28643noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5684, "image": "images/SyntheticGeometry/syntheticgeometry_15395noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5685, "image": "images/SyntheticGeometry/syntheticgeometry_22809.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5686, "image": "images/SyntheticGeometry/syntheticgeometry_15631noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5687, "image": "images/SyntheticGeometry/syntheticgeometry_46268noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5688, "image": "images/SyntheticGeometry/syntheticgeometry_29974noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5689, "image": "images/SyntheticGeometry/syntheticgeometry_24035.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5690, "image": "images/SyntheticGeometry/syntheticgeometry_27628.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5691, "image": "images/SyntheticGeometry/syntheticgeometry_34184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5692, "image": "images/SyntheticGeometry/syntheticgeometry_14720noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5693, "image": "images/SyntheticGeometry/syntheticgeometry_15022noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5694, "image": "images/SyntheticGeometry/syntheticgeometry_15008.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5695, "image": "images/SyntheticGeometry/syntheticgeometry_32732noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5696, "image": "images/SyntheticGeometry/syntheticgeometry_43066.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5697, "image": "images/SyntheticGeometry/syntheticgeometry_10579.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5698, "image": "images/SyntheticGeometry/syntheticgeometry_13605.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5699, "image": "images/SyntheticGeometry/syntheticgeometry_43002noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5700, "image": "images/SyntheticGeometry/syntheticgeometry_27649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5701, "image": "images/SyntheticGeometry/syntheticgeometry_36831noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5702, "image": "images/SyntheticGeometry/syntheticgeometry_49099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5703, "image": "images/SyntheticGeometry/syntheticgeometry_03994noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5704, "image": "images/SyntheticGeometry/syntheticgeometry_41158.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5705, "image": "images/SyntheticGeometry/syntheticgeometry_35728noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5706, "image": "images/SyntheticGeometry/syntheticgeometry_33142.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5707, "image": "images/SyntheticGeometry/syntheticgeometry_14210noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5708, "image": "images/SyntheticGeometry/syntheticgeometry_10825noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5709, "image": "images/SyntheticGeometry/syntheticgeometry_12339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5710, "image": "images/SyntheticGeometry/syntheticgeometry_48178noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5711, "image": "images/SyntheticGeometry/syntheticgeometry_23796noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5712, "image": "images/SyntheticGeometry/syntheticgeometry_26398noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5713, "image": "images/SyntheticGeometry/syntheticgeometry_42153noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5714, "image": "images/SyntheticGeometry/syntheticgeometry_13971noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5715, "image": "images/SyntheticGeometry/syntheticgeometry_04740.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5716, "image": "images/SyntheticGeometry/syntheticgeometry_33469noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle RQM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5717, "image": "images/SyntheticGeometry/syntheticgeometry_20046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5718, "image": "images/SyntheticGeometry/syntheticgeometry_33556noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5719, "image": "images/SyntheticGeometry/syntheticgeometry_02806.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5720, "image": "images/SyntheticGeometry/syntheticgeometry_34635noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5721, "image": "images/SyntheticGeometry/syntheticgeometry_17113noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5722, "image": "images/SyntheticGeometry/syntheticgeometry_32888noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5723, "image": "images/SyntheticGeometry/syntheticgeometry_12635noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5724, "image": "images/SyntheticGeometry/syntheticgeometry_15435.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5725, "image": "images/SyntheticGeometry/syntheticgeometry_15558noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5726, "image": "images/SyntheticGeometry/syntheticgeometry_15988.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5727, "image": "images/SyntheticGeometry/syntheticgeometry_23857.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5728, "image": "images/SyntheticGeometry/syntheticgeometry_48902noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5729, "image": "images/SyntheticGeometry/syntheticgeometry_21465noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5730, "image": "images/SyntheticGeometry/syntheticgeometry_06780.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5731, "image": "images/SyntheticGeometry/syntheticgeometry_49452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5732, "image": "images/SyntheticGeometry/syntheticgeometry_21547.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5733, "image": "images/SyntheticGeometry/syntheticgeometry_33306noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5734, "image": "images/SyntheticGeometry/syntheticgeometry_03926noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5735, "image": "images/SyntheticGeometry/syntheticgeometry_15720.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5736, "image": "images/SyntheticGeometry/syntheticgeometry_24330noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5737, "image": "images/SyntheticGeometry/syntheticgeometry_13881noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5738, "image": "images/SyntheticGeometry/syntheticgeometry_17430noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5739, "image": "images/SyntheticGeometry/syntheticgeometry_42125noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5740, "image": "images/SyntheticGeometry/syntheticgeometry_24564noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5741, "image": "images/SyntheticGeometry/syntheticgeometry_27447noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5742, "image": "images/SyntheticGeometry/syntheticgeometry_03291noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5743, "image": "images/SyntheticGeometry/syntheticgeometry_02552noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5744, "image": "images/SyntheticGeometry/syntheticgeometry_22403noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5745, "image": "images/SyntheticGeometry/syntheticgeometry_31846.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5746, "image": "images/SyntheticGeometry/syntheticgeometry_26392noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5747, "image": "images/SyntheticGeometry/syntheticgeometry_48897.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5748, "image": "images/SyntheticGeometry/syntheticgeometry_11746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5749, "image": "images/SyntheticGeometry/syntheticgeometry_38677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5750, "image": "images/SyntheticGeometry/syntheticgeometry_35510.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5751, "image": "images/SyntheticGeometry/syntheticgeometry_24926noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5752, "image": "images/SyntheticGeometry/syntheticgeometry_28756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5753, "image": "images/SyntheticGeometry/syntheticgeometry_27950noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5754, "image": "images/SyntheticGeometry/syntheticgeometry_10649.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5755, "image": "images/SyntheticGeometry/syntheticgeometry_05928noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5756, "image": "images/SyntheticGeometry/syntheticgeometry_05461noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5757, "image": "images/SyntheticGeometry/syntheticgeometry_08607noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5758, "image": "images/SyntheticGeometry/syntheticgeometry_06985noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5759, "image": "images/SyntheticGeometry/syntheticgeometry_37053noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5760, "image": "images/SyntheticGeometry/syntheticgeometry_30038noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5761, "image": "images/SyntheticGeometry/syntheticgeometry_16702.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5762, "image": "images/SyntheticGeometry/syntheticgeometry_35165noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5763, "image": "images/SyntheticGeometry/syntheticgeometry_03445noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5764, "image": "images/SyntheticGeometry/syntheticgeometry_32450noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5765, "image": "images/SyntheticGeometry/syntheticgeometry_11300noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5766, "image": "images/SyntheticGeometry/syntheticgeometry_08880.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5767, "image": "images/SyntheticGeometry/syntheticgeometry_34644.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5768, "image": "images/SyntheticGeometry/syntheticgeometry_31666.png", "conversations": [{"from": "human", "value": "\nThere is no triangle NAQ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5769, "image": "images/SyntheticGeometry/syntheticgeometry_26311noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5770, "image": "images/SyntheticGeometry/syntheticgeometry_23086noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5771, "image": "images/SyntheticGeometry/syntheticgeometry_17673noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5772, "image": "images/SyntheticGeometry/syntheticgeometry_18850.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5773, "image": "images/SyntheticGeometry/syntheticgeometry_22752.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5774, "image": "images/SyntheticGeometry/syntheticgeometry_39583noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5775, "image": "images/SyntheticGeometry/syntheticgeometry_15577noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5776, "image": "images/SyntheticGeometry/syntheticgeometry_13209noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5777, "image": "images/SyntheticGeometry/syntheticgeometry_05076noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5778, "image": "images/SyntheticGeometry/syntheticgeometry_26559noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5779, "image": "images/SyntheticGeometry/syntheticgeometry_49061.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5780, "image": "images/SyntheticGeometry/syntheticgeometry_35982noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5781, "image": "images/SyntheticGeometry/syntheticgeometry_41604noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NLI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5782, "image": "images/SyntheticGeometry/syntheticgeometry_03943.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5783, "image": "images/SyntheticGeometry/syntheticgeometry_38425.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5784, "image": "images/SyntheticGeometry/syntheticgeometry_25276noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5785, "image": "images/SyntheticGeometry/syntheticgeometry_21405.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5786, "image": "images/SyntheticGeometry/syntheticgeometry_25000noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5787, "image": "images/SyntheticGeometry/syntheticgeometry_07610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5788, "image": "images/SyntheticGeometry/syntheticgeometry_17719.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5789, "image": "images/SyntheticGeometry/syntheticgeometry_39656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5790, "image": "images/SyntheticGeometry/syntheticgeometry_07670noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5791, "image": "images/SyntheticGeometry/syntheticgeometry_49837.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5792, "image": "images/SyntheticGeometry/syntheticgeometry_44936noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5793, "image": "images/SyntheticGeometry/syntheticgeometry_26049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5794, "image": "images/SyntheticGeometry/syntheticgeometry_45154noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5795, "image": "images/SyntheticGeometry/syntheticgeometry_07485noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5796, "image": "images/SyntheticGeometry/syntheticgeometry_39618.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5797, "image": "images/SyntheticGeometry/syntheticgeometry_11495noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5798, "image": "images/SyntheticGeometry/syntheticgeometry_34271.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5799, "image": "images/SyntheticGeometry/syntheticgeometry_20548noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5800, "image": "images/SyntheticGeometry/syntheticgeometry_11546noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5801, "image": "images/SyntheticGeometry/syntheticgeometry_41284noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5802, "image": "images/SyntheticGeometry/syntheticgeometry_14327noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5803, "image": "images/SyntheticGeometry/syntheticgeometry_08577noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5804, "image": "images/SyntheticGeometry/syntheticgeometry_23734noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5805, "image": "images/SyntheticGeometry/syntheticgeometry_47166.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5806, "image": "images/SyntheticGeometry/syntheticgeometry_04903noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5807, "image": "images/SyntheticGeometry/syntheticgeometry_04933noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5808, "image": "images/SyntheticGeometry/syntheticgeometry_09601.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5809, "image": "images/SyntheticGeometry/syntheticgeometry_07077noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5810, "image": "images/SyntheticGeometry/syntheticgeometry_28970noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5811, "image": "images/SyntheticGeometry/syntheticgeometry_36561noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5812, "image": "images/SyntheticGeometry/syntheticgeometry_48376noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5813, "image": "images/SyntheticGeometry/syntheticgeometry_04426noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5814, "image": "images/SyntheticGeometry/syntheticgeometry_35024noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5815, "image": "images/SyntheticGeometry/syntheticgeometry_09420.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5816, "image": "images/SyntheticGeometry/syntheticgeometry_20378.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5817, "image": "images/SyntheticGeometry/syntheticgeometry_35325.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5818, "image": "images/SyntheticGeometry/syntheticgeometry_03446.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5819, "image": "images/SyntheticGeometry/syntheticgeometry_39345noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5820, "image": "images/SyntheticGeometry/syntheticgeometry_19566.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5821, "image": "images/SyntheticGeometry/syntheticgeometry_44261noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5822, "image": "images/SyntheticGeometry/syntheticgeometry_09512noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5823, "image": "images/SyntheticGeometry/syntheticgeometry_31734.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5824, "image": "images/SyntheticGeometry/syntheticgeometry_04820noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5825, "image": "images/SyntheticGeometry/syntheticgeometry_12963noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5826, "image": "images/SyntheticGeometry/syntheticgeometry_26847noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5827, "image": "images/SyntheticGeometry/syntheticgeometry_48487.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5828, "image": "images/SyntheticGeometry/syntheticgeometry_48325noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5829, "image": "images/SyntheticGeometry/syntheticgeometry_18929noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5830, "image": "images/SyntheticGeometry/syntheticgeometry_10880noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5831, "image": "images/SyntheticGeometry/syntheticgeometry_08964noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5832, "image": "images/SyntheticGeometry/syntheticgeometry_30683noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5833, "image": "images/SyntheticGeometry/syntheticgeometry_08681noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5834, "image": "images/SyntheticGeometry/syntheticgeometry_31353.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5835, "image": "images/SyntheticGeometry/syntheticgeometry_20562noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5836, "image": "images/SyntheticGeometry/syntheticgeometry_34167.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5837, "image": "images/SyntheticGeometry/syntheticgeometry_34269noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5838, "image": "images/SyntheticGeometry/syntheticgeometry_34491noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5839, "image": "images/SyntheticGeometry/syntheticgeometry_07361.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5840, "image": "images/SyntheticGeometry/syntheticgeometry_18911noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5841, "image": "images/SyntheticGeometry/syntheticgeometry_18170.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5842, "image": "images/SyntheticGeometry/syntheticgeometry_49527noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5843, "image": "images/SyntheticGeometry/syntheticgeometry_03739noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5844, "image": "images/SyntheticGeometry/syntheticgeometry_11699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5845, "image": "images/SyntheticGeometry/syntheticgeometry_20286noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5846, "image": "images/SyntheticGeometry/syntheticgeometry_03073noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5847, "image": "images/SyntheticGeometry/syntheticgeometry_25005noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5848, "image": "images/SyntheticGeometry/syntheticgeometry_02080noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5849, "image": "images/SyntheticGeometry/syntheticgeometry_33571noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5850, "image": "images/SyntheticGeometry/syntheticgeometry_45688.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5851, "image": "images/SyntheticGeometry/syntheticgeometry_31863noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5852, "image": "images/SyntheticGeometry/syntheticgeometry_02986noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5853, "image": "images/SyntheticGeometry/syntheticgeometry_46312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5854, "image": "images/SyntheticGeometry/syntheticgeometry_06921.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5855, "image": "images/SyntheticGeometry/syntheticgeometry_03979.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5856, "image": "images/SyntheticGeometry/syntheticgeometry_11705noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5857, "image": "images/SyntheticGeometry/syntheticgeometry_16797noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5858, "image": "images/SyntheticGeometry/syntheticgeometry_29938noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5859, "image": "images/SyntheticGeometry/syntheticgeometry_24966noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5860, "image": "images/SyntheticGeometry/syntheticgeometry_39912.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5861, "image": "images/SyntheticGeometry/syntheticgeometry_34982noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5862, "image": "images/SyntheticGeometry/syntheticgeometry_11733noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5863, "image": "images/SyntheticGeometry/syntheticgeometry_17319noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5864, "image": "images/SyntheticGeometry/syntheticgeometry_37439.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5865, "image": "images/SyntheticGeometry/syntheticgeometry_47035.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5866, "image": "images/SyntheticGeometry/syntheticgeometry_45255noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5867, "image": "images/SyntheticGeometry/syntheticgeometry_05438noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5868, "image": "images/SyntheticGeometry/syntheticgeometry_35738.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5869, "image": "images/SyntheticGeometry/syntheticgeometry_49302noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5870, "image": "images/SyntheticGeometry/syntheticgeometry_29745noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5871, "image": "images/SyntheticGeometry/syntheticgeometry_38204noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5872, "image": "images/SyntheticGeometry/syntheticgeometry_48340noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5873, "image": "images/SyntheticGeometry/syntheticgeometry_15890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5874, "image": "images/SyntheticGeometry/syntheticgeometry_26181noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5875, "image": "images/SyntheticGeometry/syntheticgeometry_47417noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5876, "image": "images/SyntheticGeometry/syntheticgeometry_46098noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5877, "image": "images/SyntheticGeometry/syntheticgeometry_29404.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5878, "image": "images/SyntheticGeometry/syntheticgeometry_15348.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5879, "image": "images/SyntheticGeometry/syntheticgeometry_48931.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5880, "image": "images/SyntheticGeometry/syntheticgeometry_24276noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5881, "image": "images/SyntheticGeometry/syntheticgeometry_25126noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5882, "image": "images/SyntheticGeometry/syntheticgeometry_09483.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5883, "image": "images/SyntheticGeometry/syntheticgeometry_12632noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5884, "image": "images/SyntheticGeometry/syntheticgeometry_27279noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5885, "image": "images/SyntheticGeometry/syntheticgeometry_24246noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5886, "image": "images/SyntheticGeometry/syntheticgeometry_03862.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5887, "image": "images/SyntheticGeometry/syntheticgeometry_33167noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5888, "image": "images/SyntheticGeometry/syntheticgeometry_44636.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5889, "image": "images/SyntheticGeometry/syntheticgeometry_08284noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5890, "image": "images/SyntheticGeometry/syntheticgeometry_43929.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5891, "image": "images/SyntheticGeometry/syntheticgeometry_31553.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5892, "image": "images/SyntheticGeometry/syntheticgeometry_41411noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5893, "image": "images/SyntheticGeometry/syntheticgeometry_39032noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5894, "image": "images/SyntheticGeometry/syntheticgeometry_39358noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5895, "image": "images/SyntheticGeometry/syntheticgeometry_02817noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5896, "image": "images/SyntheticGeometry/syntheticgeometry_12131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5897, "image": "images/SyntheticGeometry/syntheticgeometry_12926noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5898, "image": "images/SyntheticGeometry/syntheticgeometry_49547noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5899, "image": "images/SyntheticGeometry/syntheticgeometry_47443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5900, "image": "images/SyntheticGeometry/syntheticgeometry_13452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5901, "image": "images/SyntheticGeometry/syntheticgeometry_22990noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5902, "image": "images/SyntheticGeometry/syntheticgeometry_34052noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5903, "image": "images/SyntheticGeometry/syntheticgeometry_43001noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5904, "image": "images/SyntheticGeometry/syntheticgeometry_07854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5905, "image": "images/SyntheticGeometry/syntheticgeometry_08608noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5906, "image": "images/SyntheticGeometry/syntheticgeometry_49773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5907, "image": "images/SyntheticGeometry/syntheticgeometry_29365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5908, "image": "images/SyntheticGeometry/syntheticgeometry_39473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5909, "image": "images/SyntheticGeometry/syntheticgeometry_12064.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5910, "image": "images/SyntheticGeometry/syntheticgeometry_18488.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5911, "image": "images/SyntheticGeometry/syntheticgeometry_49094noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5912, "image": "images/SyntheticGeometry/syntheticgeometry_34182noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5913, "image": "images/SyntheticGeometry/syntheticgeometry_02212noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5914, "image": "images/SyntheticGeometry/syntheticgeometry_40778noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5915, "image": "images/SyntheticGeometry/syntheticgeometry_30234noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DBN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5916, "image": "images/SyntheticGeometry/syntheticgeometry_42949noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5917, "image": "images/SyntheticGeometry/syntheticgeometry_48928noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5918, "image": "images/SyntheticGeometry/syntheticgeometry_24894.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5919, "image": "images/SyntheticGeometry/syntheticgeometry_40673noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5920, "image": "images/SyntheticGeometry/syntheticgeometry_44317noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5921, "image": "images/SyntheticGeometry/syntheticgeometry_02932noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5922, "image": "images/SyntheticGeometry/syntheticgeometry_03390noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5923, "image": "images/SyntheticGeometry/syntheticgeometry_25135.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5924, "image": "images/SyntheticGeometry/syntheticgeometry_32032noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5925, "image": "images/SyntheticGeometry/syntheticgeometry_26777noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5926, "image": "images/SyntheticGeometry/syntheticgeometry_12643.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5927, "image": "images/SyntheticGeometry/syntheticgeometry_34670.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5928, "image": "images/SyntheticGeometry/syntheticgeometry_11132noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5929, "image": "images/SyntheticGeometry/syntheticgeometry_19485noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5930, "image": "images/SyntheticGeometry/syntheticgeometry_08293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5931, "image": "images/SyntheticGeometry/syntheticgeometry_15455noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5932, "image": "images/SyntheticGeometry/syntheticgeometry_29425noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5933, "image": "images/SyntheticGeometry/syntheticgeometry_03708noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5934, "image": "images/SyntheticGeometry/syntheticgeometry_46145noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5935, "image": "images/SyntheticGeometry/syntheticgeometry_17643noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5936, "image": "images/SyntheticGeometry/syntheticgeometry_45194noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5937, "image": "images/SyntheticGeometry/syntheticgeometry_33633noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5938, "image": "images/SyntheticGeometry/syntheticgeometry_29190.png", "conversations": [{"from": "human", "value": "\nThere is no triangle NBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5939, "image": "images/SyntheticGeometry/syntheticgeometry_02298.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5940, "image": "images/SyntheticGeometry/syntheticgeometry_35559noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5941, "image": "images/SyntheticGeometry/syntheticgeometry_02631.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5942, "image": "images/SyntheticGeometry/syntheticgeometry_02153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5943, "image": "images/SyntheticGeometry/syntheticgeometry_09916noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5944, "image": "images/SyntheticGeometry/syntheticgeometry_30171.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5945, "image": "images/SyntheticGeometry/syntheticgeometry_05479.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5946, "image": "images/SyntheticGeometry/syntheticgeometry_21276noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5947, "image": "images/SyntheticGeometry/syntheticgeometry_12141.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5948, "image": "images/SyntheticGeometry/syntheticgeometry_45045noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5949, "image": "images/SyntheticGeometry/syntheticgeometry_42625noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5950, "image": "images/SyntheticGeometry/syntheticgeometry_29215noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5951, "image": "images/SyntheticGeometry/syntheticgeometry_02124noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5952, "image": "images/SyntheticGeometry/syntheticgeometry_16112.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5953, "image": "images/SyntheticGeometry/syntheticgeometry_10209.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5954, "image": "images/SyntheticGeometry/syntheticgeometry_18030noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5955, "image": "images/SyntheticGeometry/syntheticgeometry_05634.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5956, "image": "images/SyntheticGeometry/syntheticgeometry_48116.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5957, "image": "images/SyntheticGeometry/syntheticgeometry_06116noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5958, "image": "images/SyntheticGeometry/syntheticgeometry_34078noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5959, "image": "images/SyntheticGeometry/syntheticgeometry_08540noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5960, "image": "images/SyntheticGeometry/syntheticgeometry_11196noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5961, "image": "images/SyntheticGeometry/syntheticgeometry_09284.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5962, "image": "images/SyntheticGeometry/syntheticgeometry_33022noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5963, "image": "images/SyntheticGeometry/syntheticgeometry_39114.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5964, "image": "images/SyntheticGeometry/syntheticgeometry_07444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5965, "image": "images/SyntheticGeometry/syntheticgeometry_15566noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5966, "image": "images/SyntheticGeometry/syntheticgeometry_09958.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5967, "image": "images/SyntheticGeometry/syntheticgeometry_04534noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5968, "image": "images/SyntheticGeometry/syntheticgeometry_35608noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5969, "image": "images/SyntheticGeometry/syntheticgeometry_42142.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5970, "image": "images/SyntheticGeometry/syntheticgeometry_12391.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5971, "image": "images/SyntheticGeometry/syntheticgeometry_17513noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5972, "image": "images/SyntheticGeometry/syntheticgeometry_33871noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5973, "image": "images/SyntheticGeometry/syntheticgeometry_17989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5974, "image": "images/SyntheticGeometry/syntheticgeometry_48494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5975, "image": "images/SyntheticGeometry/syntheticgeometry_04001.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5976, "image": "images/SyntheticGeometry/syntheticgeometry_22438.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5977, "image": "images/SyntheticGeometry/syntheticgeometry_09411noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5978, "image": "images/SyntheticGeometry/syntheticgeometry_29649noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5979, "image": "images/SyntheticGeometry/syntheticgeometry_02288noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5980, "image": "images/SyntheticGeometry/syntheticgeometry_08557noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5981, "image": "images/SyntheticGeometry/syntheticgeometry_19472.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5982, "image": "images/SyntheticGeometry/syntheticgeometry_34108.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5983, "image": "images/SyntheticGeometry/syntheticgeometry_10027.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5984, "image": "images/SyntheticGeometry/syntheticgeometry_13848noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5985, "image": "images/SyntheticGeometry/syntheticgeometry_22798.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5986, "image": "images/SyntheticGeometry/syntheticgeometry_31827noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5987, "image": "images/SyntheticGeometry/syntheticgeometry_14761noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5988, "image": "images/SyntheticGeometry/syntheticgeometry_40218.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5989, "image": "images/SyntheticGeometry/syntheticgeometry_40457noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5990, "image": "images/SyntheticGeometry/syntheticgeometry_19911noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5991, "image": "images/SyntheticGeometry/syntheticgeometry_38290.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5992, "image": "images/SyntheticGeometry/syntheticgeometry_40623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5993, "image": "images/SyntheticGeometry/syntheticgeometry_11387noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5994, "image": "images/SyntheticGeometry/syntheticgeometry_13221noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5995, "image": "images/SyntheticGeometry/syntheticgeometry_24738noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5996, "image": "images/SyntheticGeometry/syntheticgeometry_20402noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5997, "image": "images/SyntheticGeometry/syntheticgeometry_28675.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5998, "image": "images/SyntheticGeometry/syntheticgeometry_11755noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 5999, "image": "images/SyntheticGeometry/syntheticgeometry_06788.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6000, "image": "images/SyntheticGeometry/syntheticgeometry_16130.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6001, "image": "images/SyntheticGeometry/syntheticgeometry_16262.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6002, "image": "images/SyntheticGeometry/syntheticgeometry_40002.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6003, "image": "images/SyntheticGeometry/syntheticgeometry_21341noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6004, "image": "images/SyntheticGeometry/syntheticgeometry_22706.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6005, "image": "images/SyntheticGeometry/syntheticgeometry_12828noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6006, "image": "images/SyntheticGeometry/syntheticgeometry_14473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6007, "image": "images/SyntheticGeometry/syntheticgeometry_20880noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6008, "image": "images/SyntheticGeometry/syntheticgeometry_11674.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6009, "image": "images/SyntheticGeometry/syntheticgeometry_31459noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6010, "image": "images/SyntheticGeometry/syntheticgeometry_28979noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6011, "image": "images/SyntheticGeometry/syntheticgeometry_12989noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6012, "image": "images/SyntheticGeometry/syntheticgeometry_16969.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6013, "image": "images/SyntheticGeometry/syntheticgeometry_39451.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6014, "image": "images/SyntheticGeometry/syntheticgeometry_25074noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6015, "image": "images/SyntheticGeometry/syntheticgeometry_09738.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6016, "image": "images/SyntheticGeometry/syntheticgeometry_31745.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6017, "image": "images/SyntheticGeometry/syntheticgeometry_22152noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6018, "image": "images/SyntheticGeometry/syntheticgeometry_09179noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6019, "image": "images/SyntheticGeometry/syntheticgeometry_44138.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6020, "image": "images/SyntheticGeometry/syntheticgeometry_12211noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6021, "image": "images/SyntheticGeometry/syntheticgeometry_34646noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6022, "image": "images/SyntheticGeometry/syntheticgeometry_19552.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6023, "image": "images/SyntheticGeometry/syntheticgeometry_32377noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6024, "image": "images/SyntheticGeometry/syntheticgeometry_45067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6025, "image": "images/SyntheticGeometry/syntheticgeometry_25240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6026, "image": "images/SyntheticGeometry/syntheticgeometry_03283noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6027, "image": "images/SyntheticGeometry/syntheticgeometry_02712.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6028, "image": "images/SyntheticGeometry/syntheticgeometry_23143.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6029, "image": "images/SyntheticGeometry/syntheticgeometry_12354.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6030, "image": "images/SyntheticGeometry/syntheticgeometry_23535.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6031, "image": "images/SyntheticGeometry/syntheticgeometry_28270.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6032, "image": "images/SyntheticGeometry/syntheticgeometry_27725noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6033, "image": "images/SyntheticGeometry/syntheticgeometry_14359noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6034, "image": "images/SyntheticGeometry/syntheticgeometry_05935.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6035, "image": "images/SyntheticGeometry/syntheticgeometry_29293noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6036, "image": "images/SyntheticGeometry/syntheticgeometry_35485.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6037, "image": "images/SyntheticGeometry/syntheticgeometry_46833noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6038, "image": "images/SyntheticGeometry/syntheticgeometry_11965noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6039, "image": "images/SyntheticGeometry/syntheticgeometry_30632noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6040, "image": "images/SyntheticGeometry/syntheticgeometry_48819noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6041, "image": "images/SyntheticGeometry/syntheticgeometry_28444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6042, "image": "images/SyntheticGeometry/syntheticgeometry_15086.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6043, "image": "images/SyntheticGeometry/syntheticgeometry_43338.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6044, "image": "images/SyntheticGeometry/syntheticgeometry_17704noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6045, "image": "images/SyntheticGeometry/syntheticgeometry_20527noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6046, "image": "images/SyntheticGeometry/syntheticgeometry_17898noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6047, "image": "images/SyntheticGeometry/syntheticgeometry_15966noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6048, "image": "images/SyntheticGeometry/syntheticgeometry_13127.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6049, "image": "images/SyntheticGeometry/syntheticgeometry_37520noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6050, "image": "images/SyntheticGeometry/syntheticgeometry_08637.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6051, "image": "images/SyntheticGeometry/syntheticgeometry_26997noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6052, "image": "images/SyntheticGeometry/syntheticgeometry_14725noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6053, "image": "images/SyntheticGeometry/syntheticgeometry_18328noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6054, "image": "images/SyntheticGeometry/syntheticgeometry_17410.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6055, "image": "images/SyntheticGeometry/syntheticgeometry_44839noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6056, "image": "images/SyntheticGeometry/syntheticgeometry_30195noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6057, "image": "images/SyntheticGeometry/syntheticgeometry_10547noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6058, "image": "images/SyntheticGeometry/syntheticgeometry_05525.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6059, "image": "images/SyntheticGeometry/syntheticgeometry_03932noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6060, "image": "images/SyntheticGeometry/syntheticgeometry_10581.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6061, "image": "images/SyntheticGeometry/syntheticgeometry_16491noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6062, "image": "images/SyntheticGeometry/syntheticgeometry_47186noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6063, "image": "images/SyntheticGeometry/syntheticgeometry_08455noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6064, "image": "images/SyntheticGeometry/syntheticgeometry_10584noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6065, "image": "images/SyntheticGeometry/syntheticgeometry_06313noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6066, "image": "images/SyntheticGeometry/syntheticgeometry_43273noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6067, "image": "images/SyntheticGeometry/syntheticgeometry_38446noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6068, "image": "images/SyntheticGeometry/syntheticgeometry_28806noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6069, "image": "images/SyntheticGeometry/syntheticgeometry_15242.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6070, "image": "images/SyntheticGeometry/syntheticgeometry_46402.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6071, "image": "images/SyntheticGeometry/syntheticgeometry_11593noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6072, "image": "images/SyntheticGeometry/syntheticgeometry_02159noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6073, "image": "images/SyntheticGeometry/syntheticgeometry_42182noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6074, "image": "images/SyntheticGeometry/syntheticgeometry_33797noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6075, "image": "images/SyntheticGeometry/syntheticgeometry_09255noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6076, "image": "images/SyntheticGeometry/syntheticgeometry_14957.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6077, "image": "images/SyntheticGeometry/syntheticgeometry_40267noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6078, "image": "images/SyntheticGeometry/syntheticgeometry_29888noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6079, "image": "images/SyntheticGeometry/syntheticgeometry_33230noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6080, "image": "images/SyntheticGeometry/syntheticgeometry_46044noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6081, "image": "images/SyntheticGeometry/syntheticgeometry_16412noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6082, "image": "images/SyntheticGeometry/syntheticgeometry_41583noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6083, "image": "images/SyntheticGeometry/syntheticgeometry_46600noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6084, "image": "images/SyntheticGeometry/syntheticgeometry_02143.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6085, "image": "images/SyntheticGeometry/syntheticgeometry_24628noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6086, "image": "images/SyntheticGeometry/syntheticgeometry_28448.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6087, "image": "images/SyntheticGeometry/syntheticgeometry_40562noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6088, "image": "images/SyntheticGeometry/syntheticgeometry_36544noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6089, "image": "images/SyntheticGeometry/syntheticgeometry_09231noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6090, "image": "images/SyntheticGeometry/syntheticgeometry_05344noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6091, "image": "images/SyntheticGeometry/syntheticgeometry_24581noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6092, "image": "images/SyntheticGeometry/syntheticgeometry_20382noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6093, "image": "images/SyntheticGeometry/syntheticgeometry_11034noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6094, "image": "images/SyntheticGeometry/syntheticgeometry_21727noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6095, "image": "images/SyntheticGeometry/syntheticgeometry_11189noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6096, "image": "images/SyntheticGeometry/syntheticgeometry_42536noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6097, "image": "images/SyntheticGeometry/syntheticgeometry_20488.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6098, "image": "images/SyntheticGeometry/syntheticgeometry_07346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6099, "image": "images/SyntheticGeometry/syntheticgeometry_09133.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6100, "image": "images/SyntheticGeometry/syntheticgeometry_09151.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6101, "image": "images/SyntheticGeometry/syntheticgeometry_33920noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6102, "image": "images/SyntheticGeometry/syntheticgeometry_45541noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6103, "image": "images/SyntheticGeometry/syntheticgeometry_31502.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6104, "image": "images/SyntheticGeometry/syntheticgeometry_37775.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6105, "image": "images/SyntheticGeometry/syntheticgeometry_15752.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6106, "image": "images/SyntheticGeometry/syntheticgeometry_46501.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6107, "image": "images/SyntheticGeometry/syntheticgeometry_29431noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6108, "image": "images/SyntheticGeometry/syntheticgeometry_37650noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6109, "image": "images/SyntheticGeometry/syntheticgeometry_22352noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6110, "image": "images/SyntheticGeometry/syntheticgeometry_07103noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6111, "image": "images/SyntheticGeometry/syntheticgeometry_38033.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6112, "image": "images/SyntheticGeometry/syntheticgeometry_36132.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6113, "image": "images/SyntheticGeometry/syntheticgeometry_31240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6114, "image": "images/SyntheticGeometry/syntheticgeometry_13949.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6115, "image": "images/SyntheticGeometry/syntheticgeometry_30081noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6116, "image": "images/SyntheticGeometry/syntheticgeometry_23548noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6117, "image": "images/SyntheticGeometry/syntheticgeometry_10144noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6118, "image": "images/SyntheticGeometry/syntheticgeometry_11385noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6119, "image": "images/SyntheticGeometry/syntheticgeometry_28495.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6120, "image": "images/SyntheticGeometry/syntheticgeometry_43390noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6121, "image": "images/SyntheticGeometry/syntheticgeometry_34024noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6122, "image": "images/SyntheticGeometry/syntheticgeometry_07075noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6123, "image": "images/SyntheticGeometry/syntheticgeometry_27535noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6124, "image": "images/SyntheticGeometry/syntheticgeometry_38820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6125, "image": "images/SyntheticGeometry/syntheticgeometry_44104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6126, "image": "images/SyntheticGeometry/syntheticgeometry_20010noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6127, "image": "images/SyntheticGeometry/syntheticgeometry_17301noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6128, "image": "images/SyntheticGeometry/syntheticgeometry_21634noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6129, "image": "images/SyntheticGeometry/syntheticgeometry_30525.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6130, "image": "images/SyntheticGeometry/syntheticgeometry_20417noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6131, "image": "images/SyntheticGeometry/syntheticgeometry_46109.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6132, "image": "images/SyntheticGeometry/syntheticgeometry_25373noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6133, "image": "images/SyntheticGeometry/syntheticgeometry_41945noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6134, "image": "images/SyntheticGeometry/syntheticgeometry_10916noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6135, "image": "images/SyntheticGeometry/syntheticgeometry_13837.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6136, "image": "images/SyntheticGeometry/syntheticgeometry_22826noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6137, "image": "images/SyntheticGeometry/syntheticgeometry_43848noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6138, "image": "images/SyntheticGeometry/syntheticgeometry_39155noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6139, "image": "images/SyntheticGeometry/syntheticgeometry_41656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6140, "image": "images/SyntheticGeometry/syntheticgeometry_41934.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6141, "image": "images/SyntheticGeometry/syntheticgeometry_06335noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6142, "image": "images/SyntheticGeometry/syntheticgeometry_10568.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6143, "image": "images/SyntheticGeometry/syntheticgeometry_30161.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6144, "image": "images/SyntheticGeometry/syntheticgeometry_16222.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6145, "image": "images/SyntheticGeometry/syntheticgeometry_47318noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6146, "image": "images/SyntheticGeometry/syntheticgeometry_43714.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6147, "image": "images/SyntheticGeometry/syntheticgeometry_42861.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6148, "image": "images/SyntheticGeometry/syntheticgeometry_31847noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6149, "image": "images/SyntheticGeometry/syntheticgeometry_24632noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6150, "image": "images/SyntheticGeometry/syntheticgeometry_32448.png", "conversations": [{"from": "human", "value": "\nThere is no triangle LCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6151, "image": "images/SyntheticGeometry/syntheticgeometry_20419noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6152, "image": "images/SyntheticGeometry/syntheticgeometry_23103noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6153, "image": "images/SyntheticGeometry/syntheticgeometry_39050noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6154, "image": "images/SyntheticGeometry/syntheticgeometry_39749noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6155, "image": "images/SyntheticGeometry/syntheticgeometry_13487noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6156, "image": "images/SyntheticGeometry/syntheticgeometry_07226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6157, "image": "images/SyntheticGeometry/syntheticgeometry_26737noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle SQN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6158, "image": "images/SyntheticGeometry/syntheticgeometry_08151.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6159, "image": "images/SyntheticGeometry/syntheticgeometry_30241noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6160, "image": "images/SyntheticGeometry/syntheticgeometry_46660.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6161, "image": "images/SyntheticGeometry/syntheticgeometry_25554noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6162, "image": "images/SyntheticGeometry/syntheticgeometry_36286noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6163, "image": "images/SyntheticGeometry/syntheticgeometry_45261noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6164, "image": "images/SyntheticGeometry/syntheticgeometry_46406.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6165, "image": "images/SyntheticGeometry/syntheticgeometry_20181noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6166, "image": "images/SyntheticGeometry/syntheticgeometry_46004noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6167, "image": "images/SyntheticGeometry/syntheticgeometry_18976noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6168, "image": "images/SyntheticGeometry/syntheticgeometry_27468noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6169, "image": "images/SyntheticGeometry/syntheticgeometry_15598.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6170, "image": "images/SyntheticGeometry/syntheticgeometry_42813.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6171, "image": "images/SyntheticGeometry/syntheticgeometry_43753noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6172, "image": "images/SyntheticGeometry/syntheticgeometry_34828noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6173, "image": "images/SyntheticGeometry/syntheticgeometry_43910noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6174, "image": "images/SyntheticGeometry/syntheticgeometry_39888noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6175, "image": "images/SyntheticGeometry/syntheticgeometry_10714noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6176, "image": "images/SyntheticGeometry/syntheticgeometry_10274noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6177, "image": "images/SyntheticGeometry/syntheticgeometry_11366noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6178, "image": "images/SyntheticGeometry/syntheticgeometry_38729noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6179, "image": "images/SyntheticGeometry/syntheticgeometry_06206noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6180, "image": "images/SyntheticGeometry/syntheticgeometry_47965noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6181, "image": "images/SyntheticGeometry/syntheticgeometry_40972.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6182, "image": "images/SyntheticGeometry/syntheticgeometry_11798.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6183, "image": "images/SyntheticGeometry/syntheticgeometry_30512noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6184, "image": "images/SyntheticGeometry/syntheticgeometry_35153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6185, "image": "images/SyntheticGeometry/syntheticgeometry_12077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6186, "image": "images/SyntheticGeometry/syntheticgeometry_23931noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6187, "image": "images/SyntheticGeometry/syntheticgeometry_02272.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6188, "image": "images/SyntheticGeometry/syntheticgeometry_30172noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6189, "image": "images/SyntheticGeometry/syntheticgeometry_11669.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6190, "image": "images/SyntheticGeometry/syntheticgeometry_39282noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6191, "image": "images/SyntheticGeometry/syntheticgeometry_31367noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6192, "image": "images/SyntheticGeometry/syntheticgeometry_41085noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6193, "image": "images/SyntheticGeometry/syntheticgeometry_17024noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6194, "image": "images/SyntheticGeometry/syntheticgeometry_17865noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6195, "image": "images/SyntheticGeometry/syntheticgeometry_35624.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6196, "image": "images/SyntheticGeometry/syntheticgeometry_46246.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6197, "image": "images/SyntheticGeometry/syntheticgeometry_43504noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6198, "image": "images/SyntheticGeometry/syntheticgeometry_47032.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6199, "image": "images/SyntheticGeometry/syntheticgeometry_31869noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6200, "image": "images/SyntheticGeometry/syntheticgeometry_40266.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6201, "image": "images/SyntheticGeometry/syntheticgeometry_09470noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6202, "image": "images/SyntheticGeometry/syntheticgeometry_43498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6203, "image": "images/SyntheticGeometry/syntheticgeometry_06209.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6204, "image": "images/SyntheticGeometry/syntheticgeometry_22926noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6205, "image": "images/SyntheticGeometry/syntheticgeometry_15338.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6206, "image": "images/SyntheticGeometry/syntheticgeometry_47704.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6207, "image": "images/SyntheticGeometry/syntheticgeometry_20447noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6208, "image": "images/SyntheticGeometry/syntheticgeometry_09016noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6209, "image": "images/SyntheticGeometry/syntheticgeometry_45529noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6210, "image": "images/SyntheticGeometry/syntheticgeometry_30337.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6211, "image": "images/SyntheticGeometry/syntheticgeometry_41153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6212, "image": "images/SyntheticGeometry/syntheticgeometry_34640.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6213, "image": "images/SyntheticGeometry/syntheticgeometry_36200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6214, "image": "images/SyntheticGeometry/syntheticgeometry_31058.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6215, "image": "images/SyntheticGeometry/syntheticgeometry_20937.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6216, "image": "images/SyntheticGeometry/syntheticgeometry_36142.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6217, "image": "images/SyntheticGeometry/syntheticgeometry_41242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6218, "image": "images/SyntheticGeometry/syntheticgeometry_44550noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6219, "image": "images/SyntheticGeometry/syntheticgeometry_24679.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6220, "image": "images/SyntheticGeometry/syntheticgeometry_44827noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6221, "image": "images/SyntheticGeometry/syntheticgeometry_22734.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6222, "image": "images/SyntheticGeometry/syntheticgeometry_28041noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6223, "image": "images/SyntheticGeometry/syntheticgeometry_30131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6224, "image": "images/SyntheticGeometry/syntheticgeometry_35318.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6225, "image": "images/SyntheticGeometry/syntheticgeometry_19064noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6226, "image": "images/SyntheticGeometry/syntheticgeometry_32328.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6227, "image": "images/SyntheticGeometry/syntheticgeometry_29615noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6228, "image": "images/SyntheticGeometry/syntheticgeometry_06679noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6229, "image": "images/SyntheticGeometry/syntheticgeometry_47464noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6230, "image": "images/SyntheticGeometry/syntheticgeometry_38728.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6231, "image": "images/SyntheticGeometry/syntheticgeometry_06990.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6232, "image": "images/SyntheticGeometry/syntheticgeometry_23585noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6233, "image": "images/SyntheticGeometry/syntheticgeometry_15831.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6234, "image": "images/SyntheticGeometry/syntheticgeometry_13570noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6235, "image": "images/SyntheticGeometry/syntheticgeometry_44125.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6236, "image": "images/SyntheticGeometry/syntheticgeometry_36492noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6237, "image": "images/SyntheticGeometry/syntheticgeometry_38043noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6238, "image": "images/SyntheticGeometry/syntheticgeometry_08625noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6239, "image": "images/SyntheticGeometry/syntheticgeometry_02852noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6240, "image": "images/SyntheticGeometry/syntheticgeometry_29662.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6241, "image": "images/SyntheticGeometry/syntheticgeometry_24494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6242, "image": "images/SyntheticGeometry/syntheticgeometry_47326noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6243, "image": "images/SyntheticGeometry/syntheticgeometry_43765noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6244, "image": "images/SyntheticGeometry/syntheticgeometry_36377noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6245, "image": "images/SyntheticGeometry/syntheticgeometry_30510noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6246, "image": "images/SyntheticGeometry/syntheticgeometry_03519noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6247, "image": "images/SyntheticGeometry/syntheticgeometry_45598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6248, "image": "images/SyntheticGeometry/syntheticgeometry_27495.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6249, "image": "images/SyntheticGeometry/syntheticgeometry_36773.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6250, "image": "images/SyntheticGeometry/syntheticgeometry_07748.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6251, "image": "images/SyntheticGeometry/syntheticgeometry_42438noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6252, "image": "images/SyntheticGeometry/syntheticgeometry_06999noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6253, "image": "images/SyntheticGeometry/syntheticgeometry_44252noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6254, "image": "images/SyntheticGeometry/syntheticgeometry_48395noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6255, "image": "images/SyntheticGeometry/syntheticgeometry_16062noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6256, "image": "images/SyntheticGeometry/syntheticgeometry_45681.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6257, "image": "images/SyntheticGeometry/syntheticgeometry_14669noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6258, "image": "images/SyntheticGeometry/syntheticgeometry_16821noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6259, "image": "images/SyntheticGeometry/syntheticgeometry_39851.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6260, "image": "images/SyntheticGeometry/syntheticgeometry_20084noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6261, "image": "images/SyntheticGeometry/syntheticgeometry_28065.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6262, "image": "images/SyntheticGeometry/syntheticgeometry_41587.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6263, "image": "images/SyntheticGeometry/syntheticgeometry_40750.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6264, "image": "images/SyntheticGeometry/syntheticgeometry_29304noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6265, "image": "images/SyntheticGeometry/syntheticgeometry_43954.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6266, "image": "images/SyntheticGeometry/syntheticgeometry_06866.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6267, "image": "images/SyntheticGeometry/syntheticgeometry_38671noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6268, "image": "images/SyntheticGeometry/syntheticgeometry_17067noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6269, "image": "images/SyntheticGeometry/syntheticgeometry_43371noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6270, "image": "images/SyntheticGeometry/syntheticgeometry_23108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6271, "image": "images/SyntheticGeometry/syntheticgeometry_30817noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6272, "image": "images/SyntheticGeometry/syntheticgeometry_24677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6273, "image": "images/SyntheticGeometry/syntheticgeometry_31118noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6274, "image": "images/SyntheticGeometry/syntheticgeometry_27313noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6275, "image": "images/SyntheticGeometry/syntheticgeometry_33900noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6276, "image": "images/SyntheticGeometry/syntheticgeometry_47950.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6277, "image": "images/SyntheticGeometry/syntheticgeometry_29463.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6278, "image": "images/SyntheticGeometry/syntheticgeometry_27730.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6279, "image": "images/SyntheticGeometry/syntheticgeometry_38372.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6280, "image": "images/SyntheticGeometry/syntheticgeometry_31625noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6281, "image": "images/SyntheticGeometry/syntheticgeometry_43088.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6282, "image": "images/SyntheticGeometry/syntheticgeometry_04019.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6283, "image": "images/SyntheticGeometry/syntheticgeometry_04355noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6284, "image": "images/SyntheticGeometry/syntheticgeometry_48516noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6285, "image": "images/SyntheticGeometry/syntheticgeometry_38080noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6286, "image": "images/SyntheticGeometry/syntheticgeometry_36742noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6287, "image": "images/SyntheticGeometry/syntheticgeometry_46714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6288, "image": "images/SyntheticGeometry/syntheticgeometry_20287noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6289, "image": "images/SyntheticGeometry/syntheticgeometry_24835noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6290, "image": "images/SyntheticGeometry/syntheticgeometry_17986.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6291, "image": "images/SyntheticGeometry/syntheticgeometry_34665noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6292, "image": "images/SyntheticGeometry/syntheticgeometry_33927noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6293, "image": "images/SyntheticGeometry/syntheticgeometry_15689noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6294, "image": "images/SyntheticGeometry/syntheticgeometry_17960noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6295, "image": "images/SyntheticGeometry/syntheticgeometry_22325noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6296, "image": "images/SyntheticGeometry/syntheticgeometry_42774.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6297, "image": "images/SyntheticGeometry/syntheticgeometry_28508noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6298, "image": "images/SyntheticGeometry/syntheticgeometry_47668noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6299, "image": "images/SyntheticGeometry/syntheticgeometry_21531.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AJE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6300, "image": "images/SyntheticGeometry/syntheticgeometry_26911noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6301, "image": "images/SyntheticGeometry/syntheticgeometry_34901noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6302, "image": "images/SyntheticGeometry/syntheticgeometry_14124noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6303, "image": "images/SyntheticGeometry/syntheticgeometry_05232noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6304, "image": "images/SyntheticGeometry/syntheticgeometry_46071.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6305, "image": "images/SyntheticGeometry/syntheticgeometry_15824noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6306, "image": "images/SyntheticGeometry/syntheticgeometry_09693noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6307, "image": "images/SyntheticGeometry/syntheticgeometry_39973noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6308, "image": "images/SyntheticGeometry/syntheticgeometry_26414.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6309, "image": "images/SyntheticGeometry/syntheticgeometry_23327noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6310, "image": "images/SyntheticGeometry/syntheticgeometry_44067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6311, "image": "images/SyntheticGeometry/syntheticgeometry_42082noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6312, "image": "images/SyntheticGeometry/syntheticgeometry_31147noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6313, "image": "images/SyntheticGeometry/syntheticgeometry_20251noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6314, "image": "images/SyntheticGeometry/syntheticgeometry_09796.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6315, "image": "images/SyntheticGeometry/syntheticgeometry_17698noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6316, "image": "images/SyntheticGeometry/syntheticgeometry_19610noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6317, "image": "images/SyntheticGeometry/syntheticgeometry_23882.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6318, "image": "images/SyntheticGeometry/syntheticgeometry_11731.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6319, "image": "images/SyntheticGeometry/syntheticgeometry_16709noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CQD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6320, "image": "images/SyntheticGeometry/syntheticgeometry_08491noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6321, "image": "images/SyntheticGeometry/syntheticgeometry_36718noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6322, "image": "images/SyntheticGeometry/syntheticgeometry_21073noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6323, "image": "images/SyntheticGeometry/syntheticgeometry_09961noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6324, "image": "images/SyntheticGeometry/syntheticgeometry_48046.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6325, "image": "images/SyntheticGeometry/syntheticgeometry_40364.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6326, "image": "images/SyntheticGeometry/syntheticgeometry_14379noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6327, "image": "images/SyntheticGeometry/syntheticgeometry_02493noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6328, "image": "images/SyntheticGeometry/syntheticgeometry_24006noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6329, "image": "images/SyntheticGeometry/syntheticgeometry_28436noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6330, "image": "images/SyntheticGeometry/syntheticgeometry_18791.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6331, "image": "images/SyntheticGeometry/syntheticgeometry_38138.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6332, "image": "images/SyntheticGeometry/syntheticgeometry_28611noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6333, "image": "images/SyntheticGeometry/syntheticgeometry_27549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6334, "image": "images/SyntheticGeometry/syntheticgeometry_37056noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6335, "image": "images/SyntheticGeometry/syntheticgeometry_38912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JLG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6336, "image": "images/SyntheticGeometry/syntheticgeometry_07247.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6337, "image": "images/SyntheticGeometry/syntheticgeometry_29564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6338, "image": "images/SyntheticGeometry/syntheticgeometry_43689noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6339, "image": "images/SyntheticGeometry/syntheticgeometry_41209.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6340, "image": "images/SyntheticGeometry/syntheticgeometry_26424noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6341, "image": "images/SyntheticGeometry/syntheticgeometry_18699noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6342, "image": "images/SyntheticGeometry/syntheticgeometry_12092.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6343, "image": "images/SyntheticGeometry/syntheticgeometry_24376noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6344, "image": "images/SyntheticGeometry/syntheticgeometry_12222noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6345, "image": "images/SyntheticGeometry/syntheticgeometry_27510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6346, "image": "images/SyntheticGeometry/syntheticgeometry_33761.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6347, "image": "images/SyntheticGeometry/syntheticgeometry_43904noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6348, "image": "images/SyntheticGeometry/syntheticgeometry_20627noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6349, "image": "images/SyntheticGeometry/syntheticgeometry_22780noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6350, "image": "images/SyntheticGeometry/syntheticgeometry_02842noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6351, "image": "images/SyntheticGeometry/syntheticgeometry_27850.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6352, "image": "images/SyntheticGeometry/syntheticgeometry_42657noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6353, "image": "images/SyntheticGeometry/syntheticgeometry_26289.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6354, "image": "images/SyntheticGeometry/syntheticgeometry_32503noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6355, "image": "images/SyntheticGeometry/syntheticgeometry_12918.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6356, "image": "images/SyntheticGeometry/syntheticgeometry_48569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6357, "image": "images/SyntheticGeometry/syntheticgeometry_38766noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6358, "image": "images/SyntheticGeometry/syntheticgeometry_17586noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6359, "image": "images/SyntheticGeometry/syntheticgeometry_40665.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6360, "image": "images/SyntheticGeometry/syntheticgeometry_16665noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6361, "image": "images/SyntheticGeometry/syntheticgeometry_22128noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6362, "image": "images/SyntheticGeometry/syntheticgeometry_19052noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6363, "image": "images/SyntheticGeometry/syntheticgeometry_10589.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6364, "image": "images/SyntheticGeometry/syntheticgeometry_25869noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6365, "image": "images/SyntheticGeometry/syntheticgeometry_11184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6366, "image": "images/SyntheticGeometry/syntheticgeometry_12636noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6367, "image": "images/SyntheticGeometry/syntheticgeometry_49348noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6368, "image": "images/SyntheticGeometry/syntheticgeometry_21597.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6369, "image": "images/SyntheticGeometry/syntheticgeometry_05861noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6370, "image": "images/SyntheticGeometry/syntheticgeometry_19377noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6371, "image": "images/SyntheticGeometry/syntheticgeometry_04529noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6372, "image": "images/SyntheticGeometry/syntheticgeometry_25641.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6373, "image": "images/SyntheticGeometry/syntheticgeometry_09977noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6374, "image": "images/SyntheticGeometry/syntheticgeometry_05234.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6375, "image": "images/SyntheticGeometry/syntheticgeometry_07624noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6376, "image": "images/SyntheticGeometry/syntheticgeometry_36582noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6377, "image": "images/SyntheticGeometry/syntheticgeometry_02121noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6378, "image": "images/SyntheticGeometry/syntheticgeometry_09611noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6379, "image": "images/SyntheticGeometry/syntheticgeometry_34194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6380, "image": "images/SyntheticGeometry/syntheticgeometry_09268noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6381, "image": "images/SyntheticGeometry/syntheticgeometry_28610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6382, "image": "images/SyntheticGeometry/syntheticgeometry_05582.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6383, "image": "images/SyntheticGeometry/syntheticgeometry_30592noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6384, "image": "images/SyntheticGeometry/syntheticgeometry_36676.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6385, "image": "images/SyntheticGeometry/syntheticgeometry_12979.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6386, "image": "images/SyntheticGeometry/syntheticgeometry_16877noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6387, "image": "images/SyntheticGeometry/syntheticgeometry_48057.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6388, "image": "images/SyntheticGeometry/syntheticgeometry_03494noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6389, "image": "images/SyntheticGeometry/syntheticgeometry_19392noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6390, "image": "images/SyntheticGeometry/syntheticgeometry_30260.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6391, "image": "images/SyntheticGeometry/syntheticgeometry_13883noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6392, "image": "images/SyntheticGeometry/syntheticgeometry_40690noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6393, "image": "images/SyntheticGeometry/syntheticgeometry_12673.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6394, "image": "images/SyntheticGeometry/syntheticgeometry_23076noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6395, "image": "images/SyntheticGeometry/syntheticgeometry_25158noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6396, "image": "images/SyntheticGeometry/syntheticgeometry_19348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6397, "image": "images/SyntheticGeometry/syntheticgeometry_47210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6398, "image": "images/SyntheticGeometry/syntheticgeometry_45568.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6399, "image": "images/SyntheticGeometry/syntheticgeometry_43694noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6400, "image": "images/SyntheticGeometry/syntheticgeometry_10298.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6401, "image": "images/SyntheticGeometry/syntheticgeometry_14232noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6402, "image": "images/SyntheticGeometry/syntheticgeometry_10254noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6403, "image": "images/SyntheticGeometry/syntheticgeometry_24014noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6404, "image": "images/SyntheticGeometry/syntheticgeometry_21004.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6405, "image": "images/SyntheticGeometry/syntheticgeometry_43349noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6406, "image": "images/SyntheticGeometry/syntheticgeometry_26307noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6407, "image": "images/SyntheticGeometry/syntheticgeometry_10443noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6408, "image": "images/SyntheticGeometry/syntheticgeometry_38633.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6409, "image": "images/SyntheticGeometry/syntheticgeometry_37919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6410, "image": "images/SyntheticGeometry/syntheticgeometry_27280.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6411, "image": "images/SyntheticGeometry/syntheticgeometry_19858noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6412, "image": "images/SyntheticGeometry/syntheticgeometry_39418.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6413, "image": "images/SyntheticGeometry/syntheticgeometry_47749noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6414, "image": "images/SyntheticGeometry/syntheticgeometry_25886.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6415, "image": "images/SyntheticGeometry/syntheticgeometry_43080noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6416, "image": "images/SyntheticGeometry/syntheticgeometry_07831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6417, "image": "images/SyntheticGeometry/syntheticgeometry_46998.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6418, "image": "images/SyntheticGeometry/syntheticgeometry_35279.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6419, "image": "images/SyntheticGeometry/syntheticgeometry_24756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6420, "image": "images/SyntheticGeometry/syntheticgeometry_11042.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6421, "image": "images/SyntheticGeometry/syntheticgeometry_37978noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6422, "image": "images/SyntheticGeometry/syntheticgeometry_20041noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6423, "image": "images/SyntheticGeometry/syntheticgeometry_13142.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6424, "image": "images/SyntheticGeometry/syntheticgeometry_35039noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6425, "image": "images/SyntheticGeometry/syntheticgeometry_42307.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6426, "image": "images/SyntheticGeometry/syntheticgeometry_49758noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6427, "image": "images/SyntheticGeometry/syntheticgeometry_36710noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6428, "image": "images/SyntheticGeometry/syntheticgeometry_05810noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6429, "image": "images/SyntheticGeometry/syntheticgeometry_08373noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6430, "image": "images/SyntheticGeometry/syntheticgeometry_38738noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6431, "image": "images/SyntheticGeometry/syntheticgeometry_20769noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6432, "image": "images/SyntheticGeometry/syntheticgeometry_28545noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6433, "image": "images/SyntheticGeometry/syntheticgeometry_29106noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6434, "image": "images/SyntheticGeometry/syntheticgeometry_40761noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6435, "image": "images/SyntheticGeometry/syntheticgeometry_46420.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6436, "image": "images/SyntheticGeometry/syntheticgeometry_18196noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6437, "image": "images/SyntheticGeometry/syntheticgeometry_17327noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6438, "image": "images/SyntheticGeometry/syntheticgeometry_31976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6439, "image": "images/SyntheticGeometry/syntheticgeometry_47847.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6440, "image": "images/SyntheticGeometry/syntheticgeometry_17384noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6441, "image": "images/SyntheticGeometry/syntheticgeometry_26850noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6442, "image": "images/SyntheticGeometry/syntheticgeometry_18711.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6443, "image": "images/SyntheticGeometry/syntheticgeometry_17829noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6444, "image": "images/SyntheticGeometry/syntheticgeometry_44714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6445, "image": "images/SyntheticGeometry/syntheticgeometry_33712.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6446, "image": "images/SyntheticGeometry/syntheticgeometry_41788noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6447, "image": "images/SyntheticGeometry/syntheticgeometry_28873.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6448, "image": "images/SyntheticGeometry/syntheticgeometry_22299noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6449, "image": "images/SyntheticGeometry/syntheticgeometry_42319noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6450, "image": "images/SyntheticGeometry/syntheticgeometry_10501noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6451, "image": "images/SyntheticGeometry/syntheticgeometry_30574.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6452, "image": "images/SyntheticGeometry/syntheticgeometry_43327.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6453, "image": "images/SyntheticGeometry/syntheticgeometry_20597noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6454, "image": "images/SyntheticGeometry/syntheticgeometry_02039.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6455, "image": "images/SyntheticGeometry/syntheticgeometry_03614noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6456, "image": "images/SyntheticGeometry/syntheticgeometry_45260.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6457, "image": "images/SyntheticGeometry/syntheticgeometry_18927.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6458, "image": "images/SyntheticGeometry/syntheticgeometry_24595.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6459, "image": "images/SyntheticGeometry/syntheticgeometry_46705noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6460, "image": "images/SyntheticGeometry/syntheticgeometry_19007noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6461, "image": "images/SyntheticGeometry/syntheticgeometry_39993noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6462, "image": "images/SyntheticGeometry/syntheticgeometry_18689noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6463, "image": "images/SyntheticGeometry/syntheticgeometry_08858.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6464, "image": "images/SyntheticGeometry/syntheticgeometry_37649noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6465, "image": "images/SyntheticGeometry/syntheticgeometry_38626noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6466, "image": "images/SyntheticGeometry/syntheticgeometry_49653noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6467, "image": "images/SyntheticGeometry/syntheticgeometry_25368.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6468, "image": "images/SyntheticGeometry/syntheticgeometry_28554noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6469, "image": "images/SyntheticGeometry/syntheticgeometry_16799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6470, "image": "images/SyntheticGeometry/syntheticgeometry_44119noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6471, "image": "images/SyntheticGeometry/syntheticgeometry_28097.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6472, "image": "images/SyntheticGeometry/syntheticgeometry_45724.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6473, "image": "images/SyntheticGeometry/syntheticgeometry_14934noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6474, "image": "images/SyntheticGeometry/syntheticgeometry_40540noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6475, "image": "images/SyntheticGeometry/syntheticgeometry_06326noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6476, "image": "images/SyntheticGeometry/syntheticgeometry_09635.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6477, "image": "images/SyntheticGeometry/syntheticgeometry_27647noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ILH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6478, "image": "images/SyntheticGeometry/syntheticgeometry_24192noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6479, "image": "images/SyntheticGeometry/syntheticgeometry_23177.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6480, "image": "images/SyntheticGeometry/syntheticgeometry_45335noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6481, "image": "images/SyntheticGeometry/syntheticgeometry_38777.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6482, "image": "images/SyntheticGeometry/syntheticgeometry_36115noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6483, "image": "images/SyntheticGeometry/syntheticgeometry_46502.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6484, "image": "images/SyntheticGeometry/syntheticgeometry_44758.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6485, "image": "images/SyntheticGeometry/syntheticgeometry_39077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6486, "image": "images/SyntheticGeometry/syntheticgeometry_05188noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6487, "image": "images/SyntheticGeometry/syntheticgeometry_41494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6488, "image": "images/SyntheticGeometry/syntheticgeometry_23311noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6489, "image": "images/SyntheticGeometry/syntheticgeometry_16086noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6490, "image": "images/SyntheticGeometry/syntheticgeometry_31135noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6491, "image": "images/SyntheticGeometry/syntheticgeometry_19312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6492, "image": "images/SyntheticGeometry/syntheticgeometry_36512noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6493, "image": "images/SyntheticGeometry/syntheticgeometry_35049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6494, "image": "images/SyntheticGeometry/syntheticgeometry_02033noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6495, "image": "images/SyntheticGeometry/syntheticgeometry_41080.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6496, "image": "images/SyntheticGeometry/syntheticgeometry_12949noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6497, "image": "images/SyntheticGeometry/syntheticgeometry_26660noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6498, "image": "images/SyntheticGeometry/syntheticgeometry_46555.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6499, "image": "images/SyntheticGeometry/syntheticgeometry_18267noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6500, "image": "images/SyntheticGeometry/syntheticgeometry_42459noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6501, "image": "images/SyntheticGeometry/syntheticgeometry_02572.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6502, "image": "images/SyntheticGeometry/syntheticgeometry_42316noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FNP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6503, "image": "images/SyntheticGeometry/syntheticgeometry_15685noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6504, "image": "images/SyntheticGeometry/syntheticgeometry_23119.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6505, "image": "images/SyntheticGeometry/syntheticgeometry_10776.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6506, "image": "images/SyntheticGeometry/syntheticgeometry_06654noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6507, "image": "images/SyntheticGeometry/syntheticgeometry_24996.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6508, "image": "images/SyntheticGeometry/syntheticgeometry_06304noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6509, "image": "images/SyntheticGeometry/syntheticgeometry_27385noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6510, "image": "images/SyntheticGeometry/syntheticgeometry_34374noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6511, "image": "images/SyntheticGeometry/syntheticgeometry_07056noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6512, "image": "images/SyntheticGeometry/syntheticgeometry_10779noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6513, "image": "images/SyntheticGeometry/syntheticgeometry_21398noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6514, "image": "images/SyntheticGeometry/syntheticgeometry_44684noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6515, "image": "images/SyntheticGeometry/syntheticgeometry_02282noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6516, "image": "images/SyntheticGeometry/syntheticgeometry_30642noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6517, "image": "images/SyntheticGeometry/syntheticgeometry_42252noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6518, "image": "images/SyntheticGeometry/syntheticgeometry_16986noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6519, "image": "images/SyntheticGeometry/syntheticgeometry_45201.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6520, "image": "images/SyntheticGeometry/syntheticgeometry_19512noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6521, "image": "images/SyntheticGeometry/syntheticgeometry_38940noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6522, "image": "images/SyntheticGeometry/syntheticgeometry_09277noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6523, "image": "images/SyntheticGeometry/syntheticgeometry_03757.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6524, "image": "images/SyntheticGeometry/syntheticgeometry_13831.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6525, "image": "images/SyntheticGeometry/syntheticgeometry_33214noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6526, "image": "images/SyntheticGeometry/syntheticgeometry_23033noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6527, "image": "images/SyntheticGeometry/syntheticgeometry_21351.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6528, "image": "images/SyntheticGeometry/syntheticgeometry_19956noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6529, "image": "images/SyntheticGeometry/syntheticgeometry_38136.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6530, "image": "images/SyntheticGeometry/syntheticgeometry_31862noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6531, "image": "images/SyntheticGeometry/syntheticgeometry_03308noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6532, "image": "images/SyntheticGeometry/syntheticgeometry_33195.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6533, "image": "images/SyntheticGeometry/syntheticgeometry_24516.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6534, "image": "images/SyntheticGeometry/syntheticgeometry_12374noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6535, "image": "images/SyntheticGeometry/syntheticgeometry_12389noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6536, "image": "images/SyntheticGeometry/syntheticgeometry_48293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6537, "image": "images/SyntheticGeometry/syntheticgeometry_04877noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6538, "image": "images/SyntheticGeometry/syntheticgeometry_21240noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6539, "image": "images/SyntheticGeometry/syntheticgeometry_12172noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FMK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6540, "image": "images/SyntheticGeometry/syntheticgeometry_25072noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6541, "image": "images/SyntheticGeometry/syntheticgeometry_13813.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6542, "image": "images/SyntheticGeometry/syntheticgeometry_48401noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6543, "image": "images/SyntheticGeometry/syntheticgeometry_45722noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6544, "image": "images/SyntheticGeometry/syntheticgeometry_28415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6545, "image": "images/SyntheticGeometry/syntheticgeometry_23172noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6546, "image": "images/SyntheticGeometry/syntheticgeometry_27765.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6547, "image": "images/SyntheticGeometry/syntheticgeometry_11178.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6548, "image": "images/SyntheticGeometry/syntheticgeometry_16321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6549, "image": "images/SyntheticGeometry/syntheticgeometry_26807noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6550, "image": "images/SyntheticGeometry/syntheticgeometry_38400noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6551, "image": "images/SyntheticGeometry/syntheticgeometry_26633noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6552, "image": "images/SyntheticGeometry/syntheticgeometry_48679.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6553, "image": "images/SyntheticGeometry/syntheticgeometry_22665.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6554, "image": "images/SyntheticGeometry/syntheticgeometry_48144.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6555, "image": "images/SyntheticGeometry/syntheticgeometry_31077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6556, "image": "images/SyntheticGeometry/syntheticgeometry_27386noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6557, "image": "images/SyntheticGeometry/syntheticgeometry_11904.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6558, "image": "images/SyntheticGeometry/syntheticgeometry_48311noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6559, "image": "images/SyntheticGeometry/syntheticgeometry_32299noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6560, "image": "images/SyntheticGeometry/syntheticgeometry_29658.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6561, "image": "images/SyntheticGeometry/syntheticgeometry_32387noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle PHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6562, "image": "images/SyntheticGeometry/syntheticgeometry_45729noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6563, "image": "images/SyntheticGeometry/syntheticgeometry_24357.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6564, "image": "images/SyntheticGeometry/syntheticgeometry_32237noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6565, "image": "images/SyntheticGeometry/syntheticgeometry_45502noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6566, "image": "images/SyntheticGeometry/syntheticgeometry_40630noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6567, "image": "images/SyntheticGeometry/syntheticgeometry_39465noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6568, "image": "images/SyntheticGeometry/syntheticgeometry_46134noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6569, "image": "images/SyntheticGeometry/syntheticgeometry_33984noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6570, "image": "images/SyntheticGeometry/syntheticgeometry_13473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6571, "image": "images/SyntheticGeometry/syntheticgeometry_13940noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6572, "image": "images/SyntheticGeometry/syntheticgeometry_37256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6573, "image": "images/SyntheticGeometry/syntheticgeometry_02037noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6574, "image": "images/SyntheticGeometry/syntheticgeometry_21831noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6575, "image": "images/SyntheticGeometry/syntheticgeometry_18285noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6576, "image": "images/SyntheticGeometry/syntheticgeometry_33206noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6577, "image": "images/SyntheticGeometry/syntheticgeometry_08664noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6578, "image": "images/SyntheticGeometry/syntheticgeometry_27435.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6579, "image": "images/SyntheticGeometry/syntheticgeometry_27882noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6580, "image": "images/SyntheticGeometry/syntheticgeometry_33324noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6581, "image": "images/SyntheticGeometry/syntheticgeometry_03384noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6582, "image": "images/SyntheticGeometry/syntheticgeometry_46213noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6583, "image": "images/SyntheticGeometry/syntheticgeometry_49358noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6584, "image": "images/SyntheticGeometry/syntheticgeometry_27253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6585, "image": "images/SyntheticGeometry/syntheticgeometry_45037.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6586, "image": "images/SyntheticGeometry/syntheticgeometry_11331noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6587, "image": "images/SyntheticGeometry/syntheticgeometry_23697.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6588, "image": "images/SyntheticGeometry/syntheticgeometry_38643.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6589, "image": "images/SyntheticGeometry/syntheticgeometry_43802.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6590, "image": "images/SyntheticGeometry/syntheticgeometry_18418noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6591, "image": "images/SyntheticGeometry/syntheticgeometry_43892noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6592, "image": "images/SyntheticGeometry/syntheticgeometry_23884noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6593, "image": "images/SyntheticGeometry/syntheticgeometry_25464noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6594, "image": "images/SyntheticGeometry/syntheticgeometry_42790.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6595, "image": "images/SyntheticGeometry/syntheticgeometry_24839noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle MAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6596, "image": "images/SyntheticGeometry/syntheticgeometry_22294noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6597, "image": "images/SyntheticGeometry/syntheticgeometry_34586noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6598, "image": "images/SyntheticGeometry/syntheticgeometry_22125.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6599, "image": "images/SyntheticGeometry/syntheticgeometry_13531noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6600, "image": "images/SyntheticGeometry/syntheticgeometry_38002noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EGL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6601, "image": "images/SyntheticGeometry/syntheticgeometry_21350noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6602, "image": "images/SyntheticGeometry/syntheticgeometry_28754noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6603, "image": "images/SyntheticGeometry/syntheticgeometry_26223noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6604, "image": "images/SyntheticGeometry/syntheticgeometry_11011noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6605, "image": "images/SyntheticGeometry/syntheticgeometry_15614noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6606, "image": "images/SyntheticGeometry/syntheticgeometry_41922.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6607, "image": "images/SyntheticGeometry/syntheticgeometry_46878noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6608, "image": "images/SyntheticGeometry/syntheticgeometry_40145noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6609, "image": "images/SyntheticGeometry/syntheticgeometry_08820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6610, "image": "images/SyntheticGeometry/syntheticgeometry_29933noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6611, "image": "images/SyntheticGeometry/syntheticgeometry_18319.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6612, "image": "images/SyntheticGeometry/syntheticgeometry_47255noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6613, "image": "images/SyntheticGeometry/syntheticgeometry_27870noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6614, "image": "images/SyntheticGeometry/syntheticgeometry_47642noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6615, "image": "images/SyntheticGeometry/syntheticgeometry_25504noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6616, "image": "images/SyntheticGeometry/syntheticgeometry_17120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6617, "image": "images/SyntheticGeometry/syntheticgeometry_47731noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6618, "image": "images/SyntheticGeometry/syntheticgeometry_34806.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6619, "image": "images/SyntheticGeometry/syntheticgeometry_44177.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JAM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6620, "image": "images/SyntheticGeometry/syntheticgeometry_20780.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6621, "image": "images/SyntheticGeometry/syntheticgeometry_24452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6622, "image": "images/SyntheticGeometry/syntheticgeometry_47143noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6623, "image": "images/SyntheticGeometry/syntheticgeometry_19300noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6624, "image": "images/SyntheticGeometry/syntheticgeometry_21628noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6625, "image": "images/SyntheticGeometry/syntheticgeometry_13955noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6626, "image": "images/SyntheticGeometry/syntheticgeometry_16366.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6627, "image": "images/SyntheticGeometry/syntheticgeometry_04989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6628, "image": "images/SyntheticGeometry/syntheticgeometry_48091noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DHJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6629, "image": "images/SyntheticGeometry/syntheticgeometry_07555noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6630, "image": "images/SyntheticGeometry/syntheticgeometry_02841noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6631, "image": "images/SyntheticGeometry/syntheticgeometry_23503noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6632, "image": "images/SyntheticGeometry/syntheticgeometry_12656.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6633, "image": "images/SyntheticGeometry/syntheticgeometry_23343noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6634, "image": "images/SyntheticGeometry/syntheticgeometry_20268.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6635, "image": "images/SyntheticGeometry/syntheticgeometry_42660noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6636, "image": "images/SyntheticGeometry/syntheticgeometry_36374noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6637, "image": "images/SyntheticGeometry/syntheticgeometry_36214noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6638, "image": "images/SyntheticGeometry/syntheticgeometry_32098.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6639, "image": "images/SyntheticGeometry/syntheticgeometry_36134noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6640, "image": "images/SyntheticGeometry/syntheticgeometry_36491noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6641, "image": "images/SyntheticGeometry/syntheticgeometry_38163.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6642, "image": "images/SyntheticGeometry/syntheticgeometry_18186noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6643, "image": "images/SyntheticGeometry/syntheticgeometry_06410noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6644, "image": "images/SyntheticGeometry/syntheticgeometry_10816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6645, "image": "images/SyntheticGeometry/syntheticgeometry_21156noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6646, "image": "images/SyntheticGeometry/syntheticgeometry_39015noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6647, "image": "images/SyntheticGeometry/syntheticgeometry_22550noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6648, "image": "images/SyntheticGeometry/syntheticgeometry_05912noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6649, "image": "images/SyntheticGeometry/syntheticgeometry_49891noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6650, "image": "images/SyntheticGeometry/syntheticgeometry_34408noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6651, "image": "images/SyntheticGeometry/syntheticgeometry_14353noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6652, "image": "images/SyntheticGeometry/syntheticgeometry_04978.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6653, "image": "images/SyntheticGeometry/syntheticgeometry_40288.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6654, "image": "images/SyntheticGeometry/syntheticgeometry_47018noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6655, "image": "images/SyntheticGeometry/syntheticgeometry_45423noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6656, "image": "images/SyntheticGeometry/syntheticgeometry_27577noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6657, "image": "images/SyntheticGeometry/syntheticgeometry_05277noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6658, "image": "images/SyntheticGeometry/syntheticgeometry_33527noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6659, "image": "images/SyntheticGeometry/syntheticgeometry_37714.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6660, "image": "images/SyntheticGeometry/syntheticgeometry_14575.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6661, "image": "images/SyntheticGeometry/syntheticgeometry_24543noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6662, "image": "images/SyntheticGeometry/syntheticgeometry_28234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6663, "image": "images/SyntheticGeometry/syntheticgeometry_12975noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6664, "image": "images/SyntheticGeometry/syntheticgeometry_19001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6665, "image": "images/SyntheticGeometry/syntheticgeometry_21611noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6666, "image": "images/SyntheticGeometry/syntheticgeometry_09745.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6667, "image": "images/SyntheticGeometry/syntheticgeometry_45698.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6668, "image": "images/SyntheticGeometry/syntheticgeometry_15623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6669, "image": "images/SyntheticGeometry/syntheticgeometry_44262noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6670, "image": "images/SyntheticGeometry/syntheticgeometry_41678noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6671, "image": "images/SyntheticGeometry/syntheticgeometry_17331.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6672, "image": "images/SyntheticGeometry/syntheticgeometry_24033.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6673, "image": "images/SyntheticGeometry/syntheticgeometry_44770.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6674, "image": "images/SyntheticGeometry/syntheticgeometry_47308noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6675, "image": "images/SyntheticGeometry/syntheticgeometry_43634.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6676, "image": "images/SyntheticGeometry/syntheticgeometry_25288noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6677, "image": "images/SyntheticGeometry/syntheticgeometry_34210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6678, "image": "images/SyntheticGeometry/syntheticgeometry_32723noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6679, "image": "images/SyntheticGeometry/syntheticgeometry_10373.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6680, "image": "images/SyntheticGeometry/syntheticgeometry_16885noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6681, "image": "images/SyntheticGeometry/syntheticgeometry_02382noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6682, "image": "images/SyntheticGeometry/syntheticgeometry_14367noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6683, "image": "images/SyntheticGeometry/syntheticgeometry_48868noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6684, "image": "images/SyntheticGeometry/syntheticgeometry_32562noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6685, "image": "images/SyntheticGeometry/syntheticgeometry_26647noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6686, "image": "images/SyntheticGeometry/syntheticgeometry_23961noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6687, "image": "images/SyntheticGeometry/syntheticgeometry_29597noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6688, "image": "images/SyntheticGeometry/syntheticgeometry_11355noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6689, "image": "images/SyntheticGeometry/syntheticgeometry_30485.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6690, "image": "images/SyntheticGeometry/syntheticgeometry_43317noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6691, "image": "images/SyntheticGeometry/syntheticgeometry_11573noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6692, "image": "images/SyntheticGeometry/syntheticgeometry_44553noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6693, "image": "images/SyntheticGeometry/syntheticgeometry_12474.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6694, "image": "images/SyntheticGeometry/syntheticgeometry_43914.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6695, "image": "images/SyntheticGeometry/syntheticgeometry_22021noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6696, "image": "images/SyntheticGeometry/syntheticgeometry_45085noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6697, "image": "images/SyntheticGeometry/syntheticgeometry_37198noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6698, "image": "images/SyntheticGeometry/syntheticgeometry_27039.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6699, "image": "images/SyntheticGeometry/syntheticgeometry_30730noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6700, "image": "images/SyntheticGeometry/syntheticgeometry_27518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6701, "image": "images/SyntheticGeometry/syntheticgeometry_10158.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6702, "image": "images/SyntheticGeometry/syntheticgeometry_08028noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6703, "image": "images/SyntheticGeometry/syntheticgeometry_41097noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6704, "image": "images/SyntheticGeometry/syntheticgeometry_17246.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6705, "image": "images/SyntheticGeometry/syntheticgeometry_39437.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6706, "image": "images/SyntheticGeometry/syntheticgeometry_06564.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6707, "image": "images/SyntheticGeometry/syntheticgeometry_37997.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6708, "image": "images/SyntheticGeometry/syntheticgeometry_19432.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6709, "image": "images/SyntheticGeometry/syntheticgeometry_24800.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6710, "image": "images/SyntheticGeometry/syntheticgeometry_07137noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6711, "image": "images/SyntheticGeometry/syntheticgeometry_38854noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6712, "image": "images/SyntheticGeometry/syntheticgeometry_22395.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6713, "image": "images/SyntheticGeometry/syntheticgeometry_18770.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6714, "image": "images/SyntheticGeometry/syntheticgeometry_44507noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6715, "image": "images/SyntheticGeometry/syntheticgeometry_39238.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6716, "image": "images/SyntheticGeometry/syntheticgeometry_28700noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6717, "image": "images/SyntheticGeometry/syntheticgeometry_48778noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6718, "image": "images/SyntheticGeometry/syntheticgeometry_31494noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6719, "image": "images/SyntheticGeometry/syntheticgeometry_04453noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6720, "image": "images/SyntheticGeometry/syntheticgeometry_10257noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KME in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6721, "image": "images/SyntheticGeometry/syntheticgeometry_47850noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6722, "image": "images/SyntheticGeometry/syntheticgeometry_32752noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6723, "image": "images/SyntheticGeometry/syntheticgeometry_05795.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6724, "image": "images/SyntheticGeometry/syntheticgeometry_17522noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6725, "image": "images/SyntheticGeometry/syntheticgeometry_29460noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6726, "image": "images/SyntheticGeometry/syntheticgeometry_49907noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6727, "image": "images/SyntheticGeometry/syntheticgeometry_26444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6728, "image": "images/SyntheticGeometry/syntheticgeometry_37055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6729, "image": "images/SyntheticGeometry/syntheticgeometry_06397noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6730, "image": "images/SyntheticGeometry/syntheticgeometry_05895noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6731, "image": "images/SyntheticGeometry/syntheticgeometry_27941noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6732, "image": "images/SyntheticGeometry/syntheticgeometry_21479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6733, "image": "images/SyntheticGeometry/syntheticgeometry_16013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6734, "image": "images/SyntheticGeometry/syntheticgeometry_07903noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6735, "image": "images/SyntheticGeometry/syntheticgeometry_11046noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6736, "image": "images/SyntheticGeometry/syntheticgeometry_39971noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6737, "image": "images/SyntheticGeometry/syntheticgeometry_11425noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6738, "image": "images/SyntheticGeometry/syntheticgeometry_25764noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6739, "image": "images/SyntheticGeometry/syntheticgeometry_41016noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6740, "image": "images/SyntheticGeometry/syntheticgeometry_06117.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6741, "image": "images/SyntheticGeometry/syntheticgeometry_31943noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6742, "image": "images/SyntheticGeometry/syntheticgeometry_47094noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6743, "image": "images/SyntheticGeometry/syntheticgeometry_20053.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6744, "image": "images/SyntheticGeometry/syntheticgeometry_09068noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6745, "image": "images/SyntheticGeometry/syntheticgeometry_35647.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6746, "image": "images/SyntheticGeometry/syntheticgeometry_36744.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6747, "image": "images/SyntheticGeometry/syntheticgeometry_03029.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6748, "image": "images/SyntheticGeometry/syntheticgeometry_49991noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6749, "image": "images/SyntheticGeometry/syntheticgeometry_14926noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6750, "image": "images/SyntheticGeometry/syntheticgeometry_48331.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AKN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6751, "image": "images/SyntheticGeometry/syntheticgeometry_11991.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6752, "image": "images/SyntheticGeometry/syntheticgeometry_24818.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6753, "image": "images/SyntheticGeometry/syntheticgeometry_24886.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6754, "image": "images/SyntheticGeometry/syntheticgeometry_25775.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6755, "image": "images/SyntheticGeometry/syntheticgeometry_14304noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6756, "image": "images/SyntheticGeometry/syntheticgeometry_26112.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6757, "image": "images/SyntheticGeometry/syntheticgeometry_34983noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6758, "image": "images/SyntheticGeometry/syntheticgeometry_08469noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6759, "image": "images/SyntheticGeometry/syntheticgeometry_14296.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6760, "image": "images/SyntheticGeometry/syntheticgeometry_11824noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6761, "image": "images/SyntheticGeometry/syntheticgeometry_04170noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6762, "image": "images/SyntheticGeometry/syntheticgeometry_12260noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6763, "image": "images/SyntheticGeometry/syntheticgeometry_21219.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6764, "image": "images/SyntheticGeometry/syntheticgeometry_42396noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6765, "image": "images/SyntheticGeometry/syntheticgeometry_22748.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6766, "image": "images/SyntheticGeometry/syntheticgeometry_46093noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6767, "image": "images/SyntheticGeometry/syntheticgeometry_38474noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6768, "image": "images/SyntheticGeometry/syntheticgeometry_36835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6769, "image": "images/SyntheticGeometry/syntheticgeometry_31510.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6770, "image": "images/SyntheticGeometry/syntheticgeometry_44652noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6771, "image": "images/SyntheticGeometry/syntheticgeometry_12299noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6772, "image": "images/SyntheticGeometry/syntheticgeometry_33651.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6773, "image": "images/SyntheticGeometry/syntheticgeometry_23109noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6774, "image": "images/SyntheticGeometry/syntheticgeometry_23691.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6775, "image": "images/SyntheticGeometry/syntheticgeometry_45203noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6776, "image": "images/SyntheticGeometry/syntheticgeometry_45462noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6777, "image": "images/SyntheticGeometry/syntheticgeometry_33346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6778, "image": "images/SyntheticGeometry/syntheticgeometry_45772.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6779, "image": "images/SyntheticGeometry/syntheticgeometry_14143.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6780, "image": "images/SyntheticGeometry/syntheticgeometry_36630.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6781, "image": "images/SyntheticGeometry/syntheticgeometry_47361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6782, "image": "images/SyntheticGeometry/syntheticgeometry_28995noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6783, "image": "images/SyntheticGeometry/syntheticgeometry_04552.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6784, "image": "images/SyntheticGeometry/syntheticgeometry_03373.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6785, "image": "images/SyntheticGeometry/syntheticgeometry_04455noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6786, "image": "images/SyntheticGeometry/syntheticgeometry_04920.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6787, "image": "images/SyntheticGeometry/syntheticgeometry_36338noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6788, "image": "images/SyntheticGeometry/syntheticgeometry_10494.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6789, "image": "images/SyntheticGeometry/syntheticgeometry_10392.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6790, "image": "images/SyntheticGeometry/syntheticgeometry_46479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6791, "image": "images/SyntheticGeometry/syntheticgeometry_06284noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6792, "image": "images/SyntheticGeometry/syntheticgeometry_31649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6793, "image": "images/SyntheticGeometry/syntheticgeometry_16914.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6794, "image": "images/SyntheticGeometry/syntheticgeometry_31551.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6795, "image": "images/SyntheticGeometry/syntheticgeometry_37099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6796, "image": "images/SyntheticGeometry/syntheticgeometry_31126noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6797, "image": "images/SyntheticGeometry/syntheticgeometry_33143noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6798, "image": "images/SyntheticGeometry/syntheticgeometry_37349.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6799, "image": "images/SyntheticGeometry/syntheticgeometry_08602noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6800, "image": "images/SyntheticGeometry/syntheticgeometry_44559.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6801, "image": "images/SyntheticGeometry/syntheticgeometry_17715noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6802, "image": "images/SyntheticGeometry/syntheticgeometry_10113noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6803, "image": "images/SyntheticGeometry/syntheticgeometry_03486noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6804, "image": "images/SyntheticGeometry/syntheticgeometry_37917.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6805, "image": "images/SyntheticGeometry/syntheticgeometry_41188noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6806, "image": "images/SyntheticGeometry/syntheticgeometry_22468noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6807, "image": "images/SyntheticGeometry/syntheticgeometry_02136noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6808, "image": "images/SyntheticGeometry/syntheticgeometry_06212.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6809, "image": "images/SyntheticGeometry/syntheticgeometry_10001noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6810, "image": "images/SyntheticGeometry/syntheticgeometry_14799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6811, "image": "images/SyntheticGeometry/syntheticgeometry_08568noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6812, "image": "images/SyntheticGeometry/syntheticgeometry_23351.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6813, "image": "images/SyntheticGeometry/syntheticgeometry_16490noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6814, "image": "images/SyntheticGeometry/syntheticgeometry_49175noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6815, "image": "images/SyntheticGeometry/syntheticgeometry_04425noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NCK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6816, "image": "images/SyntheticGeometry/syntheticgeometry_30478noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6817, "image": "images/SyntheticGeometry/syntheticgeometry_29227noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6818, "image": "images/SyntheticGeometry/syntheticgeometry_41575.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6819, "image": "images/SyntheticGeometry/syntheticgeometry_33176.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6820, "image": "images/SyntheticGeometry/syntheticgeometry_28004noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6821, "image": "images/SyntheticGeometry/syntheticgeometry_10382noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6822, "image": "images/SyntheticGeometry/syntheticgeometry_44569.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6823, "image": "images/SyntheticGeometry/syntheticgeometry_25228noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HKF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6824, "image": "images/SyntheticGeometry/syntheticgeometry_17500noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6825, "image": "images/SyntheticGeometry/syntheticgeometry_24436noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6826, "image": "images/SyntheticGeometry/syntheticgeometry_32336noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6827, "image": "images/SyntheticGeometry/syntheticgeometry_11127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6828, "image": "images/SyntheticGeometry/syntheticgeometry_15701noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6829, "image": "images/SyntheticGeometry/syntheticgeometry_26887.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6830, "image": "images/SyntheticGeometry/syntheticgeometry_39149noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6831, "image": "images/SyntheticGeometry/syntheticgeometry_48696noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6832, "image": "images/SyntheticGeometry/syntheticgeometry_07861noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6833, "image": "images/SyntheticGeometry/syntheticgeometry_32287noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6834, "image": "images/SyntheticGeometry/syntheticgeometry_19588noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6835, "image": "images/SyntheticGeometry/syntheticgeometry_09962noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6836, "image": "images/SyntheticGeometry/syntheticgeometry_27258noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6837, "image": "images/SyntheticGeometry/syntheticgeometry_06459noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6838, "image": "images/SyntheticGeometry/syntheticgeometry_16436noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6839, "image": "images/SyntheticGeometry/syntheticgeometry_24635noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6840, "image": "images/SyntheticGeometry/syntheticgeometry_28047.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6841, "image": "images/SyntheticGeometry/syntheticgeometry_34127.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6842, "image": "images/SyntheticGeometry/syntheticgeometry_49729noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6843, "image": "images/SyntheticGeometry/syntheticgeometry_20898noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6844, "image": "images/SyntheticGeometry/syntheticgeometry_03997noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6845, "image": "images/SyntheticGeometry/syntheticgeometry_03537.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6846, "image": "images/SyntheticGeometry/syntheticgeometry_19878noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6847, "image": "images/SyntheticGeometry/syntheticgeometry_40832noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6848, "image": "images/SyntheticGeometry/syntheticgeometry_21672noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6849, "image": "images/SyntheticGeometry/syntheticgeometry_36615noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6850, "image": "images/SyntheticGeometry/syntheticgeometry_26408.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6851, "image": "images/SyntheticGeometry/syntheticgeometry_05780.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6852, "image": "images/SyntheticGeometry/syntheticgeometry_02785noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6853, "image": "images/SyntheticGeometry/syntheticgeometry_36705.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6854, "image": "images/SyntheticGeometry/syntheticgeometry_22356noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6855, "image": "images/SyntheticGeometry/syntheticgeometry_09687noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6856, "image": "images/SyntheticGeometry/syntheticgeometry_17593noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6857, "image": "images/SyntheticGeometry/syntheticgeometry_26207.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6858, "image": "images/SyntheticGeometry/syntheticgeometry_09064noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6859, "image": "images/SyntheticGeometry/syntheticgeometry_23826noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6860, "image": "images/SyntheticGeometry/syntheticgeometry_05718noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6861, "image": "images/SyntheticGeometry/syntheticgeometry_35659noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6862, "image": "images/SyntheticGeometry/syntheticgeometry_37478noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6863, "image": "images/SyntheticGeometry/syntheticgeometry_05362noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6864, "image": "images/SyntheticGeometry/syntheticgeometry_43776.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6865, "image": "images/SyntheticGeometry/syntheticgeometry_27149noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6866, "image": "images/SyntheticGeometry/syntheticgeometry_32804noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6867, "image": "images/SyntheticGeometry/syntheticgeometry_30002.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6868, "image": "images/SyntheticGeometry/syntheticgeometry_41440.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6869, "image": "images/SyntheticGeometry/syntheticgeometry_26794noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6870, "image": "images/SyntheticGeometry/syntheticgeometry_02812noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6871, "image": "images/SyntheticGeometry/syntheticgeometry_40370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6872, "image": "images/SyntheticGeometry/syntheticgeometry_44542.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FMD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6873, "image": "images/SyntheticGeometry/syntheticgeometry_45773noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6874, "image": "images/SyntheticGeometry/syntheticgeometry_10892.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6875, "image": "images/SyntheticGeometry/syntheticgeometry_27624noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6876, "image": "images/SyntheticGeometry/syntheticgeometry_34229noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6877, "image": "images/SyntheticGeometry/syntheticgeometry_08544noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6878, "image": "images/SyntheticGeometry/syntheticgeometry_10224.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6879, "image": "images/SyntheticGeometry/syntheticgeometry_27176noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6880, "image": "images/SyntheticGeometry/syntheticgeometry_48415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6881, "image": "images/SyntheticGeometry/syntheticgeometry_05920noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6882, "image": "images/SyntheticGeometry/syntheticgeometry_31662noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NLM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6883, "image": "images/SyntheticGeometry/syntheticgeometry_02598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6884, "image": "images/SyntheticGeometry/syntheticgeometry_48718noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6885, "image": "images/SyntheticGeometry/syntheticgeometry_07673noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6886, "image": "images/SyntheticGeometry/syntheticgeometry_18015.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6887, "image": "images/SyntheticGeometry/syntheticgeometry_42135.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6888, "image": "images/SyntheticGeometry/syntheticgeometry_17954noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6889, "image": "images/SyntheticGeometry/syntheticgeometry_03607noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6890, "image": "images/SyntheticGeometry/syntheticgeometry_42745.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6891, "image": "images/SyntheticGeometry/syntheticgeometry_44288noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6892, "image": "images/SyntheticGeometry/syntheticgeometry_35196.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FMA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6893, "image": "images/SyntheticGeometry/syntheticgeometry_22379noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6894, "image": "images/SyntheticGeometry/syntheticgeometry_35253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6895, "image": "images/SyntheticGeometry/syntheticgeometry_10606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6896, "image": "images/SyntheticGeometry/syntheticgeometry_40876noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6897, "image": "images/SyntheticGeometry/syntheticgeometry_34214.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6898, "image": "images/SyntheticGeometry/syntheticgeometry_24024noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6899, "image": "images/SyntheticGeometry/syntheticgeometry_32915.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6900, "image": "images/SyntheticGeometry/syntheticgeometry_07901noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6901, "image": "images/SyntheticGeometry/syntheticgeometry_41923noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6902, "image": "images/SyntheticGeometry/syntheticgeometry_20860.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6903, "image": "images/SyntheticGeometry/syntheticgeometry_46361.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6904, "image": "images/SyntheticGeometry/syntheticgeometry_29660.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6905, "image": "images/SyntheticGeometry/syntheticgeometry_05058noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6906, "image": "images/SyntheticGeometry/syntheticgeometry_48632noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6907, "image": "images/SyntheticGeometry/syntheticgeometry_47673noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6908, "image": "images/SyntheticGeometry/syntheticgeometry_08279.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6909, "image": "images/SyntheticGeometry/syntheticgeometry_33602noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6910, "image": "images/SyntheticGeometry/syntheticgeometry_22801.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6911, "image": "images/SyntheticGeometry/syntheticgeometry_22769noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6912, "image": "images/SyntheticGeometry/syntheticgeometry_09807.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6913, "image": "images/SyntheticGeometry/syntheticgeometry_24388noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6914, "image": "images/SyntheticGeometry/syntheticgeometry_08087noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6915, "image": "images/SyntheticGeometry/syntheticgeometry_29120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6916, "image": "images/SyntheticGeometry/syntheticgeometry_45809noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6917, "image": "images/SyntheticGeometry/syntheticgeometry_41348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KNG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6918, "image": "images/SyntheticGeometry/syntheticgeometry_11164noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6919, "image": "images/SyntheticGeometry/syntheticgeometry_23918.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6920, "image": "images/SyntheticGeometry/syntheticgeometry_30783noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6921, "image": "images/SyntheticGeometry/syntheticgeometry_24702.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6922, "image": "images/SyntheticGeometry/syntheticgeometry_11201noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6923, "image": "images/SyntheticGeometry/syntheticgeometry_32080noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6924, "image": "images/SyntheticGeometry/syntheticgeometry_11831.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6925, "image": "images/SyntheticGeometry/syntheticgeometry_02968.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6926, "image": "images/SyntheticGeometry/syntheticgeometry_40621noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6927, "image": "images/SyntheticGeometry/syntheticgeometry_11405.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6928, "image": "images/SyntheticGeometry/syntheticgeometry_27478noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6929, "image": "images/SyntheticGeometry/syntheticgeometry_31797noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6930, "image": "images/SyntheticGeometry/syntheticgeometry_22224noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6931, "image": "images/SyntheticGeometry/syntheticgeometry_15760noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6932, "image": "images/SyntheticGeometry/syntheticgeometry_26139noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6933, "image": "images/SyntheticGeometry/syntheticgeometry_29019noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6934, "image": "images/SyntheticGeometry/syntheticgeometry_39205.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6935, "image": "images/SyntheticGeometry/syntheticgeometry_30010.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6936, "image": "images/SyntheticGeometry/syntheticgeometry_34936noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6937, "image": "images/SyntheticGeometry/syntheticgeometry_30413noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6938, "image": "images/SyntheticGeometry/syntheticgeometry_43333.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6939, "image": "images/SyntheticGeometry/syntheticgeometry_06526.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6940, "image": "images/SyntheticGeometry/syntheticgeometry_12200noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6941, "image": "images/SyntheticGeometry/syntheticgeometry_10054noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6942, "image": "images/SyntheticGeometry/syntheticgeometry_18228noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6943, "image": "images/SyntheticGeometry/syntheticgeometry_14715noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6944, "image": "images/SyntheticGeometry/syntheticgeometry_13275noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6945, "image": "images/SyntheticGeometry/syntheticgeometry_38913noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6946, "image": "images/SyntheticGeometry/syntheticgeometry_37361noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AJE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6947, "image": "images/SyntheticGeometry/syntheticgeometry_03163.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6948, "image": "images/SyntheticGeometry/syntheticgeometry_27737noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6949, "image": "images/SyntheticGeometry/syntheticgeometry_48250noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6950, "image": "images/SyntheticGeometry/syntheticgeometry_42010noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6951, "image": "images/SyntheticGeometry/syntheticgeometry_31532.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6952, "image": "images/SyntheticGeometry/syntheticgeometry_37069noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6953, "image": "images/SyntheticGeometry/syntheticgeometry_33498noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6954, "image": "images/SyntheticGeometry/syntheticgeometry_38694noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6955, "image": "images/SyntheticGeometry/syntheticgeometry_05424noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KDN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6956, "image": "images/SyntheticGeometry/syntheticgeometry_48886.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6957, "image": "images/SyntheticGeometry/syntheticgeometry_49104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6958, "image": "images/SyntheticGeometry/syntheticgeometry_14514.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6959, "image": "images/SyntheticGeometry/syntheticgeometry_19891.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6960, "image": "images/SyntheticGeometry/syntheticgeometry_28122.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6961, "image": "images/SyntheticGeometry/syntheticgeometry_43844noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6962, "image": "images/SyntheticGeometry/syntheticgeometry_12830noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6963, "image": "images/SyntheticGeometry/syntheticgeometry_20517.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6964, "image": "images/SyntheticGeometry/syntheticgeometry_36701noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6965, "image": "images/SyntheticGeometry/syntheticgeometry_16844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6966, "image": "images/SyntheticGeometry/syntheticgeometry_14977.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6967, "image": "images/SyntheticGeometry/syntheticgeometry_29206.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6968, "image": "images/SyntheticGeometry/syntheticgeometry_36770noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6969, "image": "images/SyntheticGeometry/syntheticgeometry_02025noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6970, "image": "images/SyntheticGeometry/syntheticgeometry_13496.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6971, "image": "images/SyntheticGeometry/syntheticgeometry_22045.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6972, "image": "images/SyntheticGeometry/syntheticgeometry_41755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6973, "image": "images/SyntheticGeometry/syntheticgeometry_47905noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle QHO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6974, "image": "images/SyntheticGeometry/syntheticgeometry_23794.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6975, "image": "images/SyntheticGeometry/syntheticgeometry_10810.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6976, "image": "images/SyntheticGeometry/syntheticgeometry_10372noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6977, "image": "images/SyntheticGeometry/syntheticgeometry_10842.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6978, "image": "images/SyntheticGeometry/syntheticgeometry_41144.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6979, "image": "images/SyntheticGeometry/syntheticgeometry_23956.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6980, "image": "images/SyntheticGeometry/syntheticgeometry_34966noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6981, "image": "images/SyntheticGeometry/syntheticgeometry_44370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6982, "image": "images/SyntheticGeometry/syntheticgeometry_29364noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6983, "image": "images/SyntheticGeometry/syntheticgeometry_38699.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6984, "image": "images/SyntheticGeometry/syntheticgeometry_04328noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6985, "image": "images/SyntheticGeometry/syntheticgeometry_03421.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6986, "image": "images/SyntheticGeometry/syntheticgeometry_43121noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6987, "image": "images/SyntheticGeometry/syntheticgeometry_14062noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6988, "image": "images/SyntheticGeometry/syntheticgeometry_20225.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6989, "image": "images/SyntheticGeometry/syntheticgeometry_47316noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6990, "image": "images/SyntheticGeometry/syntheticgeometry_37957.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6991, "image": "images/SyntheticGeometry/syntheticgeometry_04789noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6992, "image": "images/SyntheticGeometry/syntheticgeometry_47585noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6993, "image": "images/SyntheticGeometry/syntheticgeometry_16549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6994, "image": "images/SyntheticGeometry/syntheticgeometry_23827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6995, "image": "images/SyntheticGeometry/syntheticgeometry_16183.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6996, "image": "images/SyntheticGeometry/syntheticgeometry_48006.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6997, "image": "images/SyntheticGeometry/syntheticgeometry_43571.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6998, "image": "images/SyntheticGeometry/syntheticgeometry_47835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 6999, "image": "images/SyntheticGeometry/syntheticgeometry_49234.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7000, "image": "images/SyntheticGeometry/syntheticgeometry_04261.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7001, "image": "images/SyntheticGeometry/syntheticgeometry_32365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7002, "image": "images/SyntheticGeometry/syntheticgeometry_28669noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7003, "image": "images/SyntheticGeometry/syntheticgeometry_16795noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7004, "image": "images/SyntheticGeometry/syntheticgeometry_30508noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7005, "image": "images/SyntheticGeometry/syntheticgeometry_22370noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7006, "image": "images/SyntheticGeometry/syntheticgeometry_09988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7007, "image": "images/SyntheticGeometry/syntheticgeometry_16744noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7008, "image": "images/SyntheticGeometry/syntheticgeometry_42647.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7009, "image": "images/SyntheticGeometry/syntheticgeometry_05452.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7010, "image": "images/SyntheticGeometry/syntheticgeometry_31585noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7011, "image": "images/SyntheticGeometry/syntheticgeometry_02796.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7012, "image": "images/SyntheticGeometry/syntheticgeometry_36599.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7013, "image": "images/SyntheticGeometry/syntheticgeometry_19559noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7014, "image": "images/SyntheticGeometry/syntheticgeometry_05371.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7015, "image": "images/SyntheticGeometry/syntheticgeometry_24336noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7016, "image": "images/SyntheticGeometry/syntheticgeometry_34037noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7017, "image": "images/SyntheticGeometry/syntheticgeometry_30223noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7018, "image": "images/SyntheticGeometry/syntheticgeometry_34946noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7019, "image": "images/SyntheticGeometry/syntheticgeometry_46338noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7020, "image": "images/SyntheticGeometry/syntheticgeometry_17971noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7021, "image": "images/SyntheticGeometry/syntheticgeometry_20748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7022, "image": "images/SyntheticGeometry/syntheticgeometry_05921noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7023, "image": "images/SyntheticGeometry/syntheticgeometry_46799noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7024, "image": "images/SyntheticGeometry/syntheticgeometry_15443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7025, "image": "images/SyntheticGeometry/syntheticgeometry_31941noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle OHN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7026, "image": "images/SyntheticGeometry/syntheticgeometry_04685.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7027, "image": "images/SyntheticGeometry/syntheticgeometry_45893noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7028, "image": "images/SyntheticGeometry/syntheticgeometry_19603.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7029, "image": "images/SyntheticGeometry/syntheticgeometry_05468noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7030, "image": "images/SyntheticGeometry/syntheticgeometry_32974.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7031, "image": "images/SyntheticGeometry/syntheticgeometry_05202.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7032, "image": "images/SyntheticGeometry/syntheticgeometry_18515noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EGL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7033, "image": "images/SyntheticGeometry/syntheticgeometry_44001.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7034, "image": "images/SyntheticGeometry/syntheticgeometry_42261noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7035, "image": "images/SyntheticGeometry/syntheticgeometry_49228.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7036, "image": "images/SyntheticGeometry/syntheticgeometry_41618noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7037, "image": "images/SyntheticGeometry/syntheticgeometry_10385.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7038, "image": "images/SyntheticGeometry/syntheticgeometry_29441noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7039, "image": "images/SyntheticGeometry/syntheticgeometry_24775.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7040, "image": "images/SyntheticGeometry/syntheticgeometry_02016.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7041, "image": "images/SyntheticGeometry/syntheticgeometry_22689.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7042, "image": "images/SyntheticGeometry/syntheticgeometry_15915noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7043, "image": "images/SyntheticGeometry/syntheticgeometry_02275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7044, "image": "images/SyntheticGeometry/syntheticgeometry_02415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7045, "image": "images/SyntheticGeometry/syntheticgeometry_37719noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DIJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7046, "image": "images/SyntheticGeometry/syntheticgeometry_40600noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7047, "image": "images/SyntheticGeometry/syntheticgeometry_37705noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7048, "image": "images/SyntheticGeometry/syntheticgeometry_03059.png", "conversations": [{"from": "human", "value": "\nThere is no triangle LJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7049, "image": "images/SyntheticGeometry/syntheticgeometry_46325.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7050, "image": "images/SyntheticGeometry/syntheticgeometry_30666noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7051, "image": "images/SyntheticGeometry/syntheticgeometry_06184.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7052, "image": "images/SyntheticGeometry/syntheticgeometry_35881noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7053, "image": "images/SyntheticGeometry/syntheticgeometry_02636.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7054, "image": "images/SyntheticGeometry/syntheticgeometry_17306.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7055, "image": "images/SyntheticGeometry/syntheticgeometry_39369noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7056, "image": "images/SyntheticGeometry/syntheticgeometry_07734.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7057, "image": "images/SyntheticGeometry/syntheticgeometry_13185noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7058, "image": "images/SyntheticGeometry/syntheticgeometry_45144noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7059, "image": "images/SyntheticGeometry/syntheticgeometry_38764.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7060, "image": "images/SyntheticGeometry/syntheticgeometry_49554noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7061, "image": "images/SyntheticGeometry/syntheticgeometry_32713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7062, "image": "images/SyntheticGeometry/syntheticgeometry_19931noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7063, "image": "images/SyntheticGeometry/syntheticgeometry_21228noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7064, "image": "images/SyntheticGeometry/syntheticgeometry_21363noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7065, "image": "images/SyntheticGeometry/syntheticgeometry_14321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7066, "image": "images/SyntheticGeometry/syntheticgeometry_20359noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7067, "image": "images/SyntheticGeometry/syntheticgeometry_18340.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7068, "image": "images/SyntheticGeometry/syntheticgeometry_19709noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7069, "image": "images/SyntheticGeometry/syntheticgeometry_48215.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7070, "image": "images/SyntheticGeometry/syntheticgeometry_22174.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7071, "image": "images/SyntheticGeometry/syntheticgeometry_17316noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7072, "image": "images/SyntheticGeometry/syntheticgeometry_40136noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7073, "image": "images/SyntheticGeometry/syntheticgeometry_43028noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7074, "image": "images/SyntheticGeometry/syntheticgeometry_25907noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7075, "image": "images/SyntheticGeometry/syntheticgeometry_15061.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7076, "image": "images/SyntheticGeometry/syntheticgeometry_11980noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7077, "image": "images/SyntheticGeometry/syntheticgeometry_12688.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7078, "image": "images/SyntheticGeometry/syntheticgeometry_19565noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7079, "image": "images/SyntheticGeometry/syntheticgeometry_28264.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7080, "image": "images/SyntheticGeometry/syntheticgeometry_48623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7081, "image": "images/SyntheticGeometry/syntheticgeometry_27499noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7082, "image": "images/SyntheticGeometry/syntheticgeometry_20662noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7083, "image": "images/SyntheticGeometry/syntheticgeometry_44519noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7084, "image": "images/SyntheticGeometry/syntheticgeometry_43512noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7085, "image": "images/SyntheticGeometry/syntheticgeometry_14751noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7086, "image": "images/SyntheticGeometry/syntheticgeometry_43230.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7087, "image": "images/SyntheticGeometry/syntheticgeometry_15928.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7088, "image": "images/SyntheticGeometry/syntheticgeometry_03408noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7089, "image": "images/SyntheticGeometry/syntheticgeometry_29458noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7090, "image": "images/SyntheticGeometry/syntheticgeometry_46381noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7091, "image": "images/SyntheticGeometry/syntheticgeometry_18675noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7092, "image": "images/SyntheticGeometry/syntheticgeometry_47947noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7093, "image": "images/SyntheticGeometry/syntheticgeometry_48908noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7094, "image": "images/SyntheticGeometry/syntheticgeometry_21690noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7095, "image": "images/SyntheticGeometry/syntheticgeometry_30990noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7096, "image": "images/SyntheticGeometry/syntheticgeometry_26961.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7097, "image": "images/SyntheticGeometry/syntheticgeometry_25914noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7098, "image": "images/SyntheticGeometry/syntheticgeometry_10324noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7099, "image": "images/SyntheticGeometry/syntheticgeometry_18979noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7100, "image": "images/SyntheticGeometry/syntheticgeometry_48242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7101, "image": "images/SyntheticGeometry/syntheticgeometry_24423.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7102, "image": "images/SyntheticGeometry/syntheticgeometry_10094.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7103, "image": "images/SyntheticGeometry/syntheticgeometry_03584noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7104, "image": "images/SyntheticGeometry/syntheticgeometry_05052noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7105, "image": "images/SyntheticGeometry/syntheticgeometry_29031noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7106, "image": "images/SyntheticGeometry/syntheticgeometry_41809noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7107, "image": "images/SyntheticGeometry/syntheticgeometry_39443noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7108, "image": "images/SyntheticGeometry/syntheticgeometry_27637noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7109, "image": "images/SyntheticGeometry/syntheticgeometry_36783noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7110, "image": "images/SyntheticGeometry/syntheticgeometry_08046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7111, "image": "images/SyntheticGeometry/syntheticgeometry_45672noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7112, "image": "images/SyntheticGeometry/syntheticgeometry_37923.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7113, "image": "images/SyntheticGeometry/syntheticgeometry_03880.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7114, "image": "images/SyntheticGeometry/syntheticgeometry_31142.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7115, "image": "images/SyntheticGeometry/syntheticgeometry_27792noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7116, "image": "images/SyntheticGeometry/syntheticgeometry_36229noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7117, "image": "images/SyntheticGeometry/syntheticgeometry_04429noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7118, "image": "images/SyntheticGeometry/syntheticgeometry_03111.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7119, "image": "images/SyntheticGeometry/syntheticgeometry_40764.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7120, "image": "images/SyntheticGeometry/syntheticgeometry_11817.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7121, "image": "images/SyntheticGeometry/syntheticgeometry_37362.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7122, "image": "images/SyntheticGeometry/syntheticgeometry_46073noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7123, "image": "images/SyntheticGeometry/syntheticgeometry_24649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DQO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7124, "image": "images/SyntheticGeometry/syntheticgeometry_45212noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7125, "image": "images/SyntheticGeometry/syntheticgeometry_04020noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7126, "image": "images/SyntheticGeometry/syntheticgeometry_42250.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7127, "image": "images/SyntheticGeometry/syntheticgeometry_26005noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7128, "image": "images/SyntheticGeometry/syntheticgeometry_08466noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7129, "image": "images/SyntheticGeometry/syntheticgeometry_15391noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7130, "image": "images/SyntheticGeometry/syntheticgeometry_21314noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7131, "image": "images/SyntheticGeometry/syntheticgeometry_22450.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7132, "image": "images/SyntheticGeometry/syntheticgeometry_04845.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7133, "image": "images/SyntheticGeometry/syntheticgeometry_24533noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7134, "image": "images/SyntheticGeometry/syntheticgeometry_42007noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7135, "image": "images/SyntheticGeometry/syntheticgeometry_16871noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7136, "image": "images/SyntheticGeometry/syntheticgeometry_19449noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7137, "image": "images/SyntheticGeometry/syntheticgeometry_36601.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7138, "image": "images/SyntheticGeometry/syntheticgeometry_11343.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7139, "image": "images/SyntheticGeometry/syntheticgeometry_47623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7140, "image": "images/SyntheticGeometry/syntheticgeometry_19127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7141, "image": "images/SyntheticGeometry/syntheticgeometry_23912noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LND in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7142, "image": "images/SyntheticGeometry/syntheticgeometry_14020.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7143, "image": "images/SyntheticGeometry/syntheticgeometry_38647noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7144, "image": "images/SyntheticGeometry/syntheticgeometry_27929noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7145, "image": "images/SyntheticGeometry/syntheticgeometry_21742.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7146, "image": "images/SyntheticGeometry/syntheticgeometry_36139noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7147, "image": "images/SyntheticGeometry/syntheticgeometry_29489.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7148, "image": "images/SyntheticGeometry/syntheticgeometry_30855noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7149, "image": "images/SyntheticGeometry/syntheticgeometry_39053noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7150, "image": "images/SyntheticGeometry/syntheticgeometry_17766.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7151, "image": "images/SyntheticGeometry/syntheticgeometry_31876.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7152, "image": "images/SyntheticGeometry/syntheticgeometry_45133noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7153, "image": "images/SyntheticGeometry/syntheticgeometry_25404noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7154, "image": "images/SyntheticGeometry/syntheticgeometry_05538noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7155, "image": "images/SyntheticGeometry/syntheticgeometry_49150noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7156, "image": "images/SyntheticGeometry/syntheticgeometry_04193noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7157, "image": "images/SyntheticGeometry/syntheticgeometry_21425noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7158, "image": "images/SyntheticGeometry/syntheticgeometry_42626.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7159, "image": "images/SyntheticGeometry/syntheticgeometry_28889.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7160, "image": "images/SyntheticGeometry/syntheticgeometry_17888noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7161, "image": "images/SyntheticGeometry/syntheticgeometry_38184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7162, "image": "images/SyntheticGeometry/syntheticgeometry_37750noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7163, "image": "images/SyntheticGeometry/syntheticgeometry_10227.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7164, "image": "images/SyntheticGeometry/syntheticgeometry_17255.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7165, "image": "images/SyntheticGeometry/syntheticgeometry_36399.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7166, "image": "images/SyntheticGeometry/syntheticgeometry_19086.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7167, "image": "images/SyntheticGeometry/syntheticgeometry_25419noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7168, "image": "images/SyntheticGeometry/syntheticgeometry_09713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7169, "image": "images/SyntheticGeometry/syntheticgeometry_46765noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7170, "image": "images/SyntheticGeometry/syntheticgeometry_12841noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7171, "image": "images/SyntheticGeometry/syntheticgeometry_44396noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7172, "image": "images/SyntheticGeometry/syntheticgeometry_42352.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7173, "image": "images/SyntheticGeometry/syntheticgeometry_20633noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7174, "image": "images/SyntheticGeometry/syntheticgeometry_15595.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7175, "image": "images/SyntheticGeometry/syntheticgeometry_17046noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7176, "image": "images/SyntheticGeometry/syntheticgeometry_34145noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7177, "image": "images/SyntheticGeometry/syntheticgeometry_04560noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7178, "image": "images/SyntheticGeometry/syntheticgeometry_06976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7179, "image": "images/SyntheticGeometry/syntheticgeometry_44626noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7180, "image": "images/SyntheticGeometry/syntheticgeometry_09112noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7181, "image": "images/SyntheticGeometry/syntheticgeometry_20939.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7182, "image": "images/SyntheticGeometry/syntheticgeometry_35937noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7183, "image": "images/SyntheticGeometry/syntheticgeometry_27192noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7184, "image": "images/SyntheticGeometry/syntheticgeometry_09770noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7185, "image": "images/SyntheticGeometry/syntheticgeometry_14171noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7186, "image": "images/SyntheticGeometry/syntheticgeometry_47833noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7187, "image": "images/SyntheticGeometry/syntheticgeometry_09774noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7188, "image": "images/SyntheticGeometry/syntheticgeometry_34888noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7189, "image": "images/SyntheticGeometry/syntheticgeometry_42678noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7190, "image": "images/SyntheticGeometry/syntheticgeometry_49414noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7191, "image": "images/SyntheticGeometry/syntheticgeometry_25441noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7192, "image": "images/SyntheticGeometry/syntheticgeometry_24053noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7193, "image": "images/SyntheticGeometry/syntheticgeometry_35640noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7194, "image": "images/SyntheticGeometry/syntheticgeometry_29059noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LDK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7195, "image": "images/SyntheticGeometry/syntheticgeometry_36964.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7196, "image": "images/SyntheticGeometry/syntheticgeometry_41658noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7197, "image": "images/SyntheticGeometry/syntheticgeometry_32514.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7198, "image": "images/SyntheticGeometry/syntheticgeometry_28397.png", "conversations": [{"from": "human", "value": "\nThere is no triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7199, "image": "images/SyntheticGeometry/syntheticgeometry_27571.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7200, "image": "images/SyntheticGeometry/syntheticgeometry_49324noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7201, "image": "images/SyntheticGeometry/syntheticgeometry_08730noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7202, "image": "images/SyntheticGeometry/syntheticgeometry_40329noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7203, "image": "images/SyntheticGeometry/syntheticgeometry_04980noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7204, "image": "images/SyntheticGeometry/syntheticgeometry_03679.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7205, "image": "images/SyntheticGeometry/syntheticgeometry_17095noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7206, "image": "images/SyntheticGeometry/syntheticgeometry_13459noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7207, "image": "images/SyntheticGeometry/syntheticgeometry_36688.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7208, "image": "images/SyntheticGeometry/syntheticgeometry_08991.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7209, "image": "images/SyntheticGeometry/syntheticgeometry_24664.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7210, "image": "images/SyntheticGeometry/syntheticgeometry_07406noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7211, "image": "images/SyntheticGeometry/syntheticgeometry_11529noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7212, "image": "images/SyntheticGeometry/syntheticgeometry_36840.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7213, "image": "images/SyntheticGeometry/syntheticgeometry_38438noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7214, "image": "images/SyntheticGeometry/syntheticgeometry_05051noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7215, "image": "images/SyntheticGeometry/syntheticgeometry_21064noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7216, "image": "images/SyntheticGeometry/syntheticgeometry_28256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7217, "image": "images/SyntheticGeometry/syntheticgeometry_21057noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7218, "image": "images/SyntheticGeometry/syntheticgeometry_11040noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7219, "image": "images/SyntheticGeometry/syntheticgeometry_16319.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7220, "image": "images/SyntheticGeometry/syntheticgeometry_02014.png", "conversations": [{"from": "human", "value": "\nThere is no triangle NJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7221, "image": "images/SyntheticGeometry/syntheticgeometry_36024noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7222, "image": "images/SyntheticGeometry/syntheticgeometry_04961noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7223, "image": "images/SyntheticGeometry/syntheticgeometry_33115.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7224, "image": "images/SyntheticGeometry/syntheticgeometry_20988.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7225, "image": "images/SyntheticGeometry/syntheticgeometry_05104noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7226, "image": "images/SyntheticGeometry/syntheticgeometry_22975.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7227, "image": "images/SyntheticGeometry/syntheticgeometry_14713noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7228, "image": "images/SyntheticGeometry/syntheticgeometry_31602noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ANJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7229, "image": "images/SyntheticGeometry/syntheticgeometry_40113.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7230, "image": "images/SyntheticGeometry/syntheticgeometry_25879noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7231, "image": "images/SyntheticGeometry/syntheticgeometry_46371.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7232, "image": "images/SyntheticGeometry/syntheticgeometry_12344noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7233, "image": "images/SyntheticGeometry/syntheticgeometry_42859noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7234, "image": "images/SyntheticGeometry/syntheticgeometry_10787noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7235, "image": "images/SyntheticGeometry/syntheticgeometry_43870.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7236, "image": "images/SyntheticGeometry/syntheticgeometry_37501noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7237, "image": "images/SyntheticGeometry/syntheticgeometry_45295.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7238, "image": "images/SyntheticGeometry/syntheticgeometry_43364.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7239, "image": "images/SyntheticGeometry/syntheticgeometry_27576noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7240, "image": "images/SyntheticGeometry/syntheticgeometry_47247noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7241, "image": "images/SyntheticGeometry/syntheticgeometry_25943.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7242, "image": "images/SyntheticGeometry/syntheticgeometry_26769noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7243, "image": "images/SyntheticGeometry/syntheticgeometry_35229.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7244, "image": "images/SyntheticGeometry/syntheticgeometry_39235noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7245, "image": "images/SyntheticGeometry/syntheticgeometry_43887noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7246, "image": "images/SyntheticGeometry/syntheticgeometry_46856.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7247, "image": "images/SyntheticGeometry/syntheticgeometry_46089noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7248, "image": "images/SyntheticGeometry/syntheticgeometry_12669noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7249, "image": "images/SyntheticGeometry/syntheticgeometry_37577noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7250, "image": "images/SyntheticGeometry/syntheticgeometry_17033.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7251, "image": "images/SyntheticGeometry/syntheticgeometry_30326.png", "conversations": [{"from": "human", "value": "\nThere is no triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7252, "image": "images/SyntheticGeometry/syntheticgeometry_42269noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle OAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7253, "image": "images/SyntheticGeometry/syntheticgeometry_35577.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7254, "image": "images/SyntheticGeometry/syntheticgeometry_19993noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7255, "image": "images/SyntheticGeometry/syntheticgeometry_28828noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7256, "image": "images/SyntheticGeometry/syntheticgeometry_29898noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7257, "image": "images/SyntheticGeometry/syntheticgeometry_15346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7258, "image": "images/SyntheticGeometry/syntheticgeometry_19057noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7259, "image": "images/SyntheticGeometry/syntheticgeometry_27816noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7260, "image": "images/SyntheticGeometry/syntheticgeometry_23367.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7261, "image": "images/SyntheticGeometry/syntheticgeometry_27044.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7262, "image": "images/SyntheticGeometry/syntheticgeometry_20074noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7263, "image": "images/SyntheticGeometry/syntheticgeometry_17002noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7264, "image": "images/SyntheticGeometry/syntheticgeometry_22243.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7265, "image": "images/SyntheticGeometry/syntheticgeometry_11517noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7266, "image": "images/SyntheticGeometry/syntheticgeometry_40640noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7267, "image": "images/SyntheticGeometry/syntheticgeometry_23208.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7268, "image": "images/SyntheticGeometry/syntheticgeometry_34192noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7269, "image": "images/SyntheticGeometry/syntheticgeometry_44403.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7270, "image": "images/SyntheticGeometry/syntheticgeometry_40354.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7271, "image": "images/SyntheticGeometry/syntheticgeometry_27051noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7272, "image": "images/SyntheticGeometry/syntheticgeometry_34787noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7273, "image": "images/SyntheticGeometry/syntheticgeometry_35944noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7274, "image": "images/SyntheticGeometry/syntheticgeometry_17672noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7275, "image": "images/SyntheticGeometry/syntheticgeometry_48787.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7276, "image": "images/SyntheticGeometry/syntheticgeometry_15695noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7277, "image": "images/SyntheticGeometry/syntheticgeometry_10925noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7278, "image": "images/SyntheticGeometry/syntheticgeometry_41876noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7279, "image": "images/SyntheticGeometry/syntheticgeometry_36804noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7280, "image": "images/SyntheticGeometry/syntheticgeometry_33081.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7281, "image": "images/SyntheticGeometry/syntheticgeometry_32532.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7282, "image": "images/SyntheticGeometry/syntheticgeometry_16124noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7283, "image": "images/SyntheticGeometry/syntheticgeometry_34900noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7284, "image": "images/SyntheticGeometry/syntheticgeometry_25538.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7285, "image": "images/SyntheticGeometry/syntheticgeometry_02807.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7286, "image": "images/SyntheticGeometry/syntheticgeometry_05661.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7287, "image": "images/SyntheticGeometry/syntheticgeometry_03577noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7288, "image": "images/SyntheticGeometry/syntheticgeometry_25708noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7289, "image": "images/SyntheticGeometry/syntheticgeometry_12431noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7290, "image": "images/SyntheticGeometry/syntheticgeometry_14825noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FLK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7291, "image": "images/SyntheticGeometry/syntheticgeometry_23785noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7292, "image": "images/SyntheticGeometry/syntheticgeometry_04697noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7293, "image": "images/SyntheticGeometry/syntheticgeometry_21811noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7294, "image": "images/SyntheticGeometry/syntheticgeometry_14577.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7295, "image": "images/SyntheticGeometry/syntheticgeometry_13926.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7296, "image": "images/SyntheticGeometry/syntheticgeometry_49618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7297, "image": "images/SyntheticGeometry/syntheticgeometry_06142noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7298, "image": "images/SyntheticGeometry/syntheticgeometry_49939noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7299, "image": "images/SyntheticGeometry/syntheticgeometry_08553.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7300, "image": "images/SyntheticGeometry/syntheticgeometry_14849noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7301, "image": "images/SyntheticGeometry/syntheticgeometry_02541.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7302, "image": "images/SyntheticGeometry/syntheticgeometry_07198.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7303, "image": "images/SyntheticGeometry/syntheticgeometry_38205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7304, "image": "images/SyntheticGeometry/syntheticgeometry_42390noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7305, "image": "images/SyntheticGeometry/syntheticgeometry_41822noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7306, "image": "images/SyntheticGeometry/syntheticgeometry_25164noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7307, "image": "images/SyntheticGeometry/syntheticgeometry_35983noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7308, "image": "images/SyntheticGeometry/syntheticgeometry_11603noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7309, "image": "images/SyntheticGeometry/syntheticgeometry_49013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7310, "image": "images/SyntheticGeometry/syntheticgeometry_36174.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7311, "image": "images/SyntheticGeometry/syntheticgeometry_10897.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7312, "image": "images/SyntheticGeometry/syntheticgeometry_02241.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7313, "image": "images/SyntheticGeometry/syntheticgeometry_09194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7314, "image": "images/SyntheticGeometry/syntheticgeometry_22143.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7315, "image": "images/SyntheticGeometry/syntheticgeometry_37139noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7316, "image": "images/SyntheticGeometry/syntheticgeometry_04320noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7317, "image": "images/SyntheticGeometry/syntheticgeometry_08433noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7318, "image": "images/SyntheticGeometry/syntheticgeometry_32193noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7319, "image": "images/SyntheticGeometry/syntheticgeometry_17054noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7320, "image": "images/SyntheticGeometry/syntheticgeometry_33722.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7321, "image": "images/SyntheticGeometry/syntheticgeometry_49578noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7322, "image": "images/SyntheticGeometry/syntheticgeometry_15399.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7323, "image": "images/SyntheticGeometry/syntheticgeometry_23069noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7324, "image": "images/SyntheticGeometry/syntheticgeometry_26103noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7325, "image": "images/SyntheticGeometry/syntheticgeometry_16713noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7326, "image": "images/SyntheticGeometry/syntheticgeometry_49600noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7327, "image": "images/SyntheticGeometry/syntheticgeometry_17771.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7328, "image": "images/SyntheticGeometry/syntheticgeometry_36267.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7329, "image": "images/SyntheticGeometry/syntheticgeometry_36251noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7330, "image": "images/SyntheticGeometry/syntheticgeometry_04391.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7331, "image": "images/SyntheticGeometry/syntheticgeometry_16447.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7332, "image": "images/SyntheticGeometry/syntheticgeometry_38873.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7333, "image": "images/SyntheticGeometry/syntheticgeometry_11291noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CIM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7334, "image": "images/SyntheticGeometry/syntheticgeometry_14626.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7335, "image": "images/SyntheticGeometry/syntheticgeometry_42712noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7336, "image": "images/SyntheticGeometry/syntheticgeometry_17200.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7337, "image": "images/SyntheticGeometry/syntheticgeometry_35030noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7338, "image": "images/SyntheticGeometry/syntheticgeometry_44235.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7339, "image": "images/SyntheticGeometry/syntheticgeometry_08960noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7340, "image": "images/SyntheticGeometry/syntheticgeometry_46316noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7341, "image": "images/SyntheticGeometry/syntheticgeometry_27071noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7342, "image": "images/SyntheticGeometry/syntheticgeometry_05705.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7343, "image": "images/SyntheticGeometry/syntheticgeometry_34062noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7344, "image": "images/SyntheticGeometry/syntheticgeometry_43467noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7345, "image": "images/SyntheticGeometry/syntheticgeometry_29392.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7346, "image": "images/SyntheticGeometry/syntheticgeometry_07343.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7347, "image": "images/SyntheticGeometry/syntheticgeometry_05480noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7348, "image": "images/SyntheticGeometry/syntheticgeometry_33584noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7349, "image": "images/SyntheticGeometry/syntheticgeometry_09423noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7350, "image": "images/SyntheticGeometry/syntheticgeometry_05440noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7351, "image": "images/SyntheticGeometry/syntheticgeometry_02006noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7352, "image": "images/SyntheticGeometry/syntheticgeometry_37616noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LDK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7353, "image": "images/SyntheticGeometry/syntheticgeometry_16689noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7354, "image": "images/SyntheticGeometry/syntheticgeometry_22464.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7355, "image": "images/SyntheticGeometry/syntheticgeometry_16090.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7356, "image": "images/SyntheticGeometry/syntheticgeometry_05178.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7357, "image": "images/SyntheticGeometry/syntheticgeometry_12906noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7358, "image": "images/SyntheticGeometry/syntheticgeometry_19863noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7359, "image": "images/SyntheticGeometry/syntheticgeometry_19718noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7360, "image": "images/SyntheticGeometry/syntheticgeometry_10406noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7361, "image": "images/SyntheticGeometry/syntheticgeometry_24988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7362, "image": "images/SyntheticGeometry/syntheticgeometry_15135noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7363, "image": "images/SyntheticGeometry/syntheticgeometry_46330noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7364, "image": "images/SyntheticGeometry/syntheticgeometry_38404noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7365, "image": "images/SyntheticGeometry/syntheticgeometry_38238noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7366, "image": "images/SyntheticGeometry/syntheticgeometry_19542noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7367, "image": "images/SyntheticGeometry/syntheticgeometry_33177.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7368, "image": "images/SyntheticGeometry/syntheticgeometry_09117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7369, "image": "images/SyntheticGeometry/syntheticgeometry_32392noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7370, "image": "images/SyntheticGeometry/syntheticgeometry_42940.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7371, "image": "images/SyntheticGeometry/syntheticgeometry_30238.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7372, "image": "images/SyntheticGeometry/syntheticgeometry_32538noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7373, "image": "images/SyntheticGeometry/syntheticgeometry_44392.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7374, "image": "images/SyntheticGeometry/syntheticgeometry_25193.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7375, "image": "images/SyntheticGeometry/syntheticgeometry_35312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7376, "image": "images/SyntheticGeometry/syntheticgeometry_07650.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7377, "image": "images/SyntheticGeometry/syntheticgeometry_49499noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7378, "image": "images/SyntheticGeometry/syntheticgeometry_18519noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7379, "image": "images/SyntheticGeometry/syntheticgeometry_19084.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7380, "image": "images/SyntheticGeometry/syntheticgeometry_35273.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7381, "image": "images/SyntheticGeometry/syntheticgeometry_23789noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7382, "image": "images/SyntheticGeometry/syntheticgeometry_39310.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7383, "image": "images/SyntheticGeometry/syntheticgeometry_31203noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle LCA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7384, "image": "images/SyntheticGeometry/syntheticgeometry_43744.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7385, "image": "images/SyntheticGeometry/syntheticgeometry_27062.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7386, "image": "images/SyntheticGeometry/syntheticgeometry_18134noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7387, "image": "images/SyntheticGeometry/syntheticgeometry_13586noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7388, "image": "images/SyntheticGeometry/syntheticgeometry_33385noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7389, "image": "images/SyntheticGeometry/syntheticgeometry_18349noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7390, "image": "images/SyntheticGeometry/syntheticgeometry_41995.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7391, "image": "images/SyntheticGeometry/syntheticgeometry_25067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7392, "image": "images/SyntheticGeometry/syntheticgeometry_38872.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7393, "image": "images/SyntheticGeometry/syntheticgeometry_42093noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7394, "image": "images/SyntheticGeometry/syntheticgeometry_22413noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7395, "image": "images/SyntheticGeometry/syntheticgeometry_22805noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7396, "image": "images/SyntheticGeometry/syntheticgeometry_05444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7397, "image": "images/SyntheticGeometry/syntheticgeometry_15560.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7398, "image": "images/SyntheticGeometry/syntheticgeometry_04248noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7399, "image": "images/SyntheticGeometry/syntheticgeometry_03715.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7400, "image": "images/SyntheticGeometry/syntheticgeometry_33049noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7401, "image": "images/SyntheticGeometry/syntheticgeometry_26387.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7402, "image": "images/SyntheticGeometry/syntheticgeometry_05694.png", "conversations": [{"from": "human", "value": "\nThere is no triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7403, "image": "images/SyntheticGeometry/syntheticgeometry_09261.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7404, "image": "images/SyntheticGeometry/syntheticgeometry_24749.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7405, "image": "images/SyntheticGeometry/syntheticgeometry_22864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7406, "image": "images/SyntheticGeometry/syntheticgeometry_40290noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7407, "image": "images/SyntheticGeometry/syntheticgeometry_44757noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7408, "image": "images/SyntheticGeometry/syntheticgeometry_28319noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7409, "image": "images/SyntheticGeometry/syntheticgeometry_08809.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7410, "image": "images/SyntheticGeometry/syntheticgeometry_06747noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7411, "image": "images/SyntheticGeometry/syntheticgeometry_35315.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7412, "image": "images/SyntheticGeometry/syntheticgeometry_14002.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7413, "image": "images/SyntheticGeometry/syntheticgeometry_47439noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7414, "image": "images/SyntheticGeometry/syntheticgeometry_46921.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7415, "image": "images/SyntheticGeometry/syntheticgeometry_40321.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7416, "image": "images/SyntheticGeometry/syntheticgeometry_12121.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7417, "image": "images/SyntheticGeometry/syntheticgeometry_35658noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7418, "image": "images/SyntheticGeometry/syntheticgeometry_16256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7419, "image": "images/SyntheticGeometry/syntheticgeometry_46068noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7420, "image": "images/SyntheticGeometry/syntheticgeometry_43522.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7421, "image": "images/SyntheticGeometry/syntheticgeometry_16971.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7422, "image": "images/SyntheticGeometry/syntheticgeometry_47084noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7423, "image": "images/SyntheticGeometry/syntheticgeometry_45029noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7424, "image": "images/SyntheticGeometry/syntheticgeometry_37586noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7425, "image": "images/SyntheticGeometry/syntheticgeometry_40057noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7426, "image": "images/SyntheticGeometry/syntheticgeometry_11685.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7427, "image": "images/SyntheticGeometry/syntheticgeometry_15064.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7428, "image": "images/SyntheticGeometry/syntheticgeometry_44798.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7429, "image": "images/SyntheticGeometry/syntheticgeometry_37285noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7430, "image": "images/SyntheticGeometry/syntheticgeometry_33918.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7431, "image": "images/SyntheticGeometry/syntheticgeometry_13267noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7432, "image": "images/SyntheticGeometry/syntheticgeometry_32348noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7433, "image": "images/SyntheticGeometry/syntheticgeometry_25756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7434, "image": "images/SyntheticGeometry/syntheticgeometry_40007noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AJE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7435, "image": "images/SyntheticGeometry/syntheticgeometry_36327.png", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7436, "image": "images/SyntheticGeometry/syntheticgeometry_18588.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7437, "image": "images/SyntheticGeometry/syntheticgeometry_36805noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7438, "image": "images/SyntheticGeometry/syntheticgeometry_27829noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7439, "image": "images/SyntheticGeometry/syntheticgeometry_23952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7440, "image": "images/SyntheticGeometry/syntheticgeometry_19478.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7441, "image": "images/SyntheticGeometry/syntheticgeometry_38515.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7442, "image": "images/SyntheticGeometry/syntheticgeometry_33188noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7443, "image": "images/SyntheticGeometry/syntheticgeometry_14136.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7444, "image": "images/SyntheticGeometry/syntheticgeometry_35373.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7445, "image": "images/SyntheticGeometry/syntheticgeometry_05375noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle NMB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7446, "image": "images/SyntheticGeometry/syntheticgeometry_49632noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7447, "image": "images/SyntheticGeometry/syntheticgeometry_34104noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7448, "image": "images/SyntheticGeometry/syntheticgeometry_18409noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7449, "image": "images/SyntheticGeometry/syntheticgeometry_04963.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7450, "image": "images/SyntheticGeometry/syntheticgeometry_25966noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7451, "image": "images/SyntheticGeometry/syntheticgeometry_36062noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7452, "image": "images/SyntheticGeometry/syntheticgeometry_37122.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7453, "image": "images/SyntheticGeometry/syntheticgeometry_08905noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7454, "image": "images/SyntheticGeometry/syntheticgeometry_42444.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7455, "image": "images/SyntheticGeometry/syntheticgeometry_38199.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7456, "image": "images/SyntheticGeometry/syntheticgeometry_46585.png", "conversations": [{"from": "human", "value": "\nThere is no triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7457, "image": "images/SyntheticGeometry/syntheticgeometry_03620noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7458, "image": "images/SyntheticGeometry/syntheticgeometry_03780noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7459, "image": "images/SyntheticGeometry/syntheticgeometry_10602.png", "conversations": [{"from": "human", "value": "\nThere is no triangle HFO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7460, "image": "images/SyntheticGeometry/syntheticgeometry_35056noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7461, "image": "images/SyntheticGeometry/syntheticgeometry_29486noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7462, "image": "images/SyntheticGeometry/syntheticgeometry_28281noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7463, "image": "images/SyntheticGeometry/syntheticgeometry_41050noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7464, "image": "images/SyntheticGeometry/syntheticgeometry_26252.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7465, "image": "images/SyntheticGeometry/syntheticgeometry_47149noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7466, "image": "images/SyntheticGeometry/syntheticgeometry_17058noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7467, "image": "images/SyntheticGeometry/syntheticgeometry_11728noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7468, "image": "images/SyntheticGeometry/syntheticgeometry_07335noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7469, "image": "images/SyntheticGeometry/syntheticgeometry_43280.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7470, "image": "images/SyntheticGeometry/syntheticgeometry_41563.png", "conversations": [{"from": "human", "value": "\nThere is no triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7471, "image": "images/SyntheticGeometry/syntheticgeometry_08971.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7472, "image": "images/SyntheticGeometry/syntheticgeometry_14105.png", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7473, "image": "images/SyntheticGeometry/syntheticgeometry_12238.png", "conversations": [{"from": "human", "value": "\nThere is no triangle APO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7474, "image": "images/SyntheticGeometry/syntheticgeometry_49293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7475, "image": "images/SyntheticGeometry/syntheticgeometry_11220noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7476, "image": "images/SyntheticGeometry/syntheticgeometry_06556.png", "conversations": [{"from": "human", "value": "\nThere is no triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7477, "image": "images/SyntheticGeometry/syntheticgeometry_27830noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7478, "image": "images/SyntheticGeometry/syntheticgeometry_31964.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7479, "image": "images/SyntheticGeometry/syntheticgeometry_09322.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7480, "image": "images/SyntheticGeometry/syntheticgeometry_04958noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7481, "image": "images/SyntheticGeometry/syntheticgeometry_42105noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7482, "image": "images/SyntheticGeometry/syntheticgeometry_32119noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7483, "image": "images/SyntheticGeometry/syntheticgeometry_27122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7484, "image": "images/SyntheticGeometry/syntheticgeometry_40327noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7485, "image": "images/SyntheticGeometry/syntheticgeometry_02400.png", "conversations": [{"from": "human", "value": "\nThere is no triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7486, "image": "images/SyntheticGeometry/syntheticgeometry_02253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7487, "image": "images/SyntheticGeometry/syntheticgeometry_04266noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7488, "image": "images/SyntheticGeometry/syntheticgeometry_47474noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7489, "image": "images/SyntheticGeometry/syntheticgeometry_10223noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7490, "image": "images/SyntheticGeometry/syntheticgeometry_04458.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7491, "image": "images/SyntheticGeometry/syntheticgeometry_02449noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7492, "image": "images/SyntheticGeometry/syntheticgeometry_14084.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7493, "image": "images/SyntheticGeometry/syntheticgeometry_11357noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle GNB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7494, "image": "images/SyntheticGeometry/syntheticgeometry_07643.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7495, "image": "images/SyntheticGeometry/syntheticgeometry_06725noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7496, "image": "images/SyntheticGeometry/syntheticgeometry_29835.png", "conversations": [{"from": "human", "value": "\nThere is no triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7497, "image": "images/SyntheticGeometry/syntheticgeometry_12722noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7498, "image": "images/SyntheticGeometry/syntheticgeometry_37700noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7499, "image": "images/SyntheticGeometry/syntheticgeometry_36375noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is no triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "False"}]} {"id": 7500, "image": "images/SyntheticGeometry/syntheticgeometry_11375.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7501, "image": "images/SyntheticGeometry/syntheticgeometry_16986noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7502, "image": "images/SyntheticGeometry/syntheticgeometry_12411.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7503, "image": "images/SyntheticGeometry/syntheticgeometry_48386.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7504, "image": "images/SyntheticGeometry/syntheticgeometry_13200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7505, "image": "images/SyntheticGeometry/syntheticgeometry_45699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7506, "image": "images/SyntheticGeometry/syntheticgeometry_09414noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7507, "image": "images/SyntheticGeometry/syntheticgeometry_13755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7508, "image": "images/SyntheticGeometry/syntheticgeometry_33039.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7509, "image": "images/SyntheticGeometry/syntheticgeometry_08443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7510, "image": "images/SyntheticGeometry/syntheticgeometry_12129noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7511, "image": "images/SyntheticGeometry/syntheticgeometry_17372.png", "conversations": [{"from": "human", "value": "\nThere is a triangle QLB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7512, "image": "images/SyntheticGeometry/syntheticgeometry_44042noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7513, "image": "images/SyntheticGeometry/syntheticgeometry_35397noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7514, "image": "images/SyntheticGeometry/syntheticgeometry_32723noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7515, "image": "images/SyntheticGeometry/syntheticgeometry_38423noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7516, "image": "images/SyntheticGeometry/syntheticgeometry_46001noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7517, "image": "images/SyntheticGeometry/syntheticgeometry_39561noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7518, "image": "images/SyntheticGeometry/syntheticgeometry_06319.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7519, "image": "images/SyntheticGeometry/syntheticgeometry_29265noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7520, "image": "images/SyntheticGeometry/syntheticgeometry_34482.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7521, "image": "images/SyntheticGeometry/syntheticgeometry_39661noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7522, "image": "images/SyntheticGeometry/syntheticgeometry_33211noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7523, "image": "images/SyntheticGeometry/syntheticgeometry_33959.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7524, "image": "images/SyntheticGeometry/syntheticgeometry_10070.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7525, "image": "images/SyntheticGeometry/syntheticgeometry_28998.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7526, "image": "images/SyntheticGeometry/syntheticgeometry_34393noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7527, "image": "images/SyntheticGeometry/syntheticgeometry_15289noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7528, "image": "images/SyntheticGeometry/syntheticgeometry_36720noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7529, "image": "images/SyntheticGeometry/syntheticgeometry_44523.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7530, "image": "images/SyntheticGeometry/syntheticgeometry_20599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7531, "image": "images/SyntheticGeometry/syntheticgeometry_23787noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7532, "image": "images/SyntheticGeometry/syntheticgeometry_45094.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7533, "image": "images/SyntheticGeometry/syntheticgeometry_42948noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7534, "image": "images/SyntheticGeometry/syntheticgeometry_03757.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7535, "image": "images/SyntheticGeometry/syntheticgeometry_47958noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7536, "image": "images/SyntheticGeometry/syntheticgeometry_41914noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7537, "image": "images/SyntheticGeometry/syntheticgeometry_05889noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7538, "image": "images/SyntheticGeometry/syntheticgeometry_42773noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7539, "image": "images/SyntheticGeometry/syntheticgeometry_48682noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7540, "image": "images/SyntheticGeometry/syntheticgeometry_37168.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7541, "image": "images/SyntheticGeometry/syntheticgeometry_07872noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7542, "image": "images/SyntheticGeometry/syntheticgeometry_09452noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7543, "image": "images/SyntheticGeometry/syntheticgeometry_08123.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7544, "image": "images/SyntheticGeometry/syntheticgeometry_24522noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7545, "image": "images/SyntheticGeometry/syntheticgeometry_18770.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7546, "image": "images/SyntheticGeometry/syntheticgeometry_17058noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7547, "image": "images/SyntheticGeometry/syntheticgeometry_24068noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7548, "image": "images/SyntheticGeometry/syntheticgeometry_36509noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7549, "image": "images/SyntheticGeometry/syntheticgeometry_31824noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7550, "image": "images/SyntheticGeometry/syntheticgeometry_39040.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7551, "image": "images/SyntheticGeometry/syntheticgeometry_37412.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7552, "image": "images/SyntheticGeometry/syntheticgeometry_14017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EGL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7553, "image": "images/SyntheticGeometry/syntheticgeometry_34949noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7554, "image": "images/SyntheticGeometry/syntheticgeometry_27525noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7555, "image": "images/SyntheticGeometry/syntheticgeometry_14336noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7556, "image": "images/SyntheticGeometry/syntheticgeometry_03065.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7557, "image": "images/SyntheticGeometry/syntheticgeometry_23510noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7558, "image": "images/SyntheticGeometry/syntheticgeometry_34558noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7559, "image": "images/SyntheticGeometry/syntheticgeometry_15455noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7560, "image": "images/SyntheticGeometry/syntheticgeometry_17421noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7561, "image": "images/SyntheticGeometry/syntheticgeometry_14892.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7562, "image": "images/SyntheticGeometry/syntheticgeometry_42994noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7563, "image": "images/SyntheticGeometry/syntheticgeometry_16256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7564, "image": "images/SyntheticGeometry/syntheticgeometry_16232noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7565, "image": "images/SyntheticGeometry/syntheticgeometry_11382noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7566, "image": "images/SyntheticGeometry/syntheticgeometry_03139noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7567, "image": "images/SyntheticGeometry/syntheticgeometry_37098.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7568, "image": "images/SyntheticGeometry/syntheticgeometry_15936.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7569, "image": "images/SyntheticGeometry/syntheticgeometry_22138noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7570, "image": "images/SyntheticGeometry/syntheticgeometry_12443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7571, "image": "images/SyntheticGeometry/syntheticgeometry_33890noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7572, "image": "images/SyntheticGeometry/syntheticgeometry_36663.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7573, "image": "images/SyntheticGeometry/syntheticgeometry_47943noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7574, "image": "images/SyntheticGeometry/syntheticgeometry_10573.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7575, "image": "images/SyntheticGeometry/syntheticgeometry_18444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7576, "image": "images/SyntheticGeometry/syntheticgeometry_15924noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7577, "image": "images/SyntheticGeometry/syntheticgeometry_24917.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7578, "image": "images/SyntheticGeometry/syntheticgeometry_21810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7579, "image": "images/SyntheticGeometry/syntheticgeometry_25574.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7580, "image": "images/SyntheticGeometry/syntheticgeometry_34733noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7581, "image": "images/SyntheticGeometry/syntheticgeometry_09036.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7582, "image": "images/SyntheticGeometry/syntheticgeometry_23839noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7583, "image": "images/SyntheticGeometry/syntheticgeometry_10475noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7584, "image": "images/SyntheticGeometry/syntheticgeometry_38554noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7585, "image": "images/SyntheticGeometry/syntheticgeometry_49749.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7586, "image": "images/SyntheticGeometry/syntheticgeometry_26959.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7587, "image": "images/SyntheticGeometry/syntheticgeometry_14190.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7588, "image": "images/SyntheticGeometry/syntheticgeometry_31478noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7589, "image": "images/SyntheticGeometry/syntheticgeometry_27226noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7590, "image": "images/SyntheticGeometry/syntheticgeometry_06133noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7591, "image": "images/SyntheticGeometry/syntheticgeometry_25824.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7592, "image": "images/SyntheticGeometry/syntheticgeometry_06391noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7593, "image": "images/SyntheticGeometry/syntheticgeometry_31920noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7594, "image": "images/SyntheticGeometry/syntheticgeometry_25205.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7595, "image": "images/SyntheticGeometry/syntheticgeometry_44242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7596, "image": "images/SyntheticGeometry/syntheticgeometry_41476.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7597, "image": "images/SyntheticGeometry/syntheticgeometry_08846.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7598, "image": "images/SyntheticGeometry/syntheticgeometry_35184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ERL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7599, "image": "images/SyntheticGeometry/syntheticgeometry_15346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7600, "image": "images/SyntheticGeometry/syntheticgeometry_44712noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7601, "image": "images/SyntheticGeometry/syntheticgeometry_11561noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7602, "image": "images/SyntheticGeometry/syntheticgeometry_25928.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7603, "image": "images/SyntheticGeometry/syntheticgeometry_21983noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7604, "image": "images/SyntheticGeometry/syntheticgeometry_25243noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7605, "image": "images/SyntheticGeometry/syntheticgeometry_41570noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7606, "image": "images/SyntheticGeometry/syntheticgeometry_10635noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7607, "image": "images/SyntheticGeometry/syntheticgeometry_07989.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7608, "image": "images/SyntheticGeometry/syntheticgeometry_24292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7609, "image": "images/SyntheticGeometry/syntheticgeometry_23818.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7610, "image": "images/SyntheticGeometry/syntheticgeometry_20876noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7611, "image": "images/SyntheticGeometry/syntheticgeometry_25752noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7612, "image": "images/SyntheticGeometry/syntheticgeometry_07857noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7613, "image": "images/SyntheticGeometry/syntheticgeometry_41736noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7614, "image": "images/SyntheticGeometry/syntheticgeometry_42682noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7615, "image": "images/SyntheticGeometry/syntheticgeometry_20808noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7616, "image": "images/SyntheticGeometry/syntheticgeometry_22720.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7617, "image": "images/SyntheticGeometry/syntheticgeometry_48843noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7618, "image": "images/SyntheticGeometry/syntheticgeometry_08606noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7619, "image": "images/SyntheticGeometry/syntheticgeometry_41214.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7620, "image": "images/SyntheticGeometry/syntheticgeometry_36403.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7621, "image": "images/SyntheticGeometry/syntheticgeometry_18998.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7622, "image": "images/SyntheticGeometry/syntheticgeometry_35236noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7623, "image": "images/SyntheticGeometry/syntheticgeometry_16450.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7624, "image": "images/SyntheticGeometry/syntheticgeometry_39810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7625, "image": "images/SyntheticGeometry/syntheticgeometry_10867noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7626, "image": "images/SyntheticGeometry/syntheticgeometry_11064noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7627, "image": "images/SyntheticGeometry/syntheticgeometry_14359noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7628, "image": "images/SyntheticGeometry/syntheticgeometry_42108noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7629, "image": "images/SyntheticGeometry/syntheticgeometry_38707noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7630, "image": "images/SyntheticGeometry/syntheticgeometry_46607.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7631, "image": "images/SyntheticGeometry/syntheticgeometry_40282.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7632, "image": "images/SyntheticGeometry/syntheticgeometry_11809noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7633, "image": "images/SyntheticGeometry/syntheticgeometry_30130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7634, "image": "images/SyntheticGeometry/syntheticgeometry_45551.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7635, "image": "images/SyntheticGeometry/syntheticgeometry_48252noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7636, "image": "images/SyntheticGeometry/syntheticgeometry_23167.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7637, "image": "images/SyntheticGeometry/syntheticgeometry_23341.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7638, "image": "images/SyntheticGeometry/syntheticgeometry_06047noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7639, "image": "images/SyntheticGeometry/syntheticgeometry_27355noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7640, "image": "images/SyntheticGeometry/syntheticgeometry_16962noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7641, "image": "images/SyntheticGeometry/syntheticgeometry_32317.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7642, "image": "images/SyntheticGeometry/syntheticgeometry_37187.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7643, "image": "images/SyntheticGeometry/syntheticgeometry_09184noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7644, "image": "images/SyntheticGeometry/syntheticgeometry_48299noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7645, "image": "images/SyntheticGeometry/syntheticgeometry_12304.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7646, "image": "images/SyntheticGeometry/syntheticgeometry_33676.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7647, "image": "images/SyntheticGeometry/syntheticgeometry_06136.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7648, "image": "images/SyntheticGeometry/syntheticgeometry_10952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7649, "image": "images/SyntheticGeometry/syntheticgeometry_38238noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7650, "image": "images/SyntheticGeometry/syntheticgeometry_42609noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7651, "image": "images/SyntheticGeometry/syntheticgeometry_20202.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7652, "image": "images/SyntheticGeometry/syntheticgeometry_28292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7653, "image": "images/SyntheticGeometry/syntheticgeometry_20431noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7654, "image": "images/SyntheticGeometry/syntheticgeometry_40336noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7655, "image": "images/SyntheticGeometry/syntheticgeometry_38791.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7656, "image": "images/SyntheticGeometry/syntheticgeometry_09029noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7657, "image": "images/SyntheticGeometry/syntheticgeometry_31272noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7658, "image": "images/SyntheticGeometry/syntheticgeometry_08536noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7659, "image": "images/SyntheticGeometry/syntheticgeometry_30897noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7660, "image": "images/SyntheticGeometry/syntheticgeometry_34808noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7661, "image": "images/SyntheticGeometry/syntheticgeometry_29677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7662, "image": "images/SyntheticGeometry/syntheticgeometry_03324noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7663, "image": "images/SyntheticGeometry/syntheticgeometry_43348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7664, "image": "images/SyntheticGeometry/syntheticgeometry_18795.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7665, "image": "images/SyntheticGeometry/syntheticgeometry_30739.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7666, "image": "images/SyntheticGeometry/syntheticgeometry_04458.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7667, "image": "images/SyntheticGeometry/syntheticgeometry_11812noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7668, "image": "images/SyntheticGeometry/syntheticgeometry_36222noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7669, "image": "images/SyntheticGeometry/syntheticgeometry_34274.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7670, "image": "images/SyntheticGeometry/syntheticgeometry_45914noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7671, "image": "images/SyntheticGeometry/syntheticgeometry_07733.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7672, "image": "images/SyntheticGeometry/syntheticgeometry_31281.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7673, "image": "images/SyntheticGeometry/syntheticgeometry_13494.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7674, "image": "images/SyntheticGeometry/syntheticgeometry_20083noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7675, "image": "images/SyntheticGeometry/syntheticgeometry_27073.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7676, "image": "images/SyntheticGeometry/syntheticgeometry_40068noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7677, "image": "images/SyntheticGeometry/syntheticgeometry_29847noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7678, "image": "images/SyntheticGeometry/syntheticgeometry_08110noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7679, "image": "images/SyntheticGeometry/syntheticgeometry_42523noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7680, "image": "images/SyntheticGeometry/syntheticgeometry_31910.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7681, "image": "images/SyntheticGeometry/syntheticgeometry_18231.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7682, "image": "images/SyntheticGeometry/syntheticgeometry_23143.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7683, "image": "images/SyntheticGeometry/syntheticgeometry_36270.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7684, "image": "images/SyntheticGeometry/syntheticgeometry_25764noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7685, "image": "images/SyntheticGeometry/syntheticgeometry_38677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7686, "image": "images/SyntheticGeometry/syntheticgeometry_06975noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7687, "image": "images/SyntheticGeometry/syntheticgeometry_08354noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7688, "image": "images/SyntheticGeometry/syntheticgeometry_30891.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7689, "image": "images/SyntheticGeometry/syntheticgeometry_49104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7690, "image": "images/SyntheticGeometry/syntheticgeometry_36572.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7691, "image": "images/SyntheticGeometry/syntheticgeometry_27206.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7692, "image": "images/SyntheticGeometry/syntheticgeometry_32868noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7693, "image": "images/SyntheticGeometry/syntheticgeometry_44532.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7694, "image": "images/SyntheticGeometry/syntheticgeometry_15045noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7695, "image": "images/SyntheticGeometry/syntheticgeometry_44487.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7696, "image": "images/SyntheticGeometry/syntheticgeometry_17591noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7697, "image": "images/SyntheticGeometry/syntheticgeometry_45003noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7698, "image": "images/SyntheticGeometry/syntheticgeometry_24680.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7699, "image": "images/SyntheticGeometry/syntheticgeometry_06055.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7700, "image": "images/SyntheticGeometry/syntheticgeometry_26980noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7701, "image": "images/SyntheticGeometry/syntheticgeometry_08887.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7702, "image": "images/SyntheticGeometry/syntheticgeometry_28648.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7703, "image": "images/SyntheticGeometry/syntheticgeometry_33401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7704, "image": "images/SyntheticGeometry/syntheticgeometry_28713.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7705, "image": "images/SyntheticGeometry/syntheticgeometry_48827.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7706, "image": "images/SyntheticGeometry/syntheticgeometry_41831noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7707, "image": "images/SyntheticGeometry/syntheticgeometry_47757.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7708, "image": "images/SyntheticGeometry/syntheticgeometry_41120.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7709, "image": "images/SyntheticGeometry/syntheticgeometry_22800noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7710, "image": "images/SyntheticGeometry/syntheticgeometry_27621.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7711, "image": "images/SyntheticGeometry/syntheticgeometry_23603noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7712, "image": "images/SyntheticGeometry/syntheticgeometry_18739.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DMJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7713, "image": "images/SyntheticGeometry/syntheticgeometry_40945noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7714, "image": "images/SyntheticGeometry/syntheticgeometry_18001.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7715, "image": "images/SyntheticGeometry/syntheticgeometry_38905.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7716, "image": "images/SyntheticGeometry/syntheticgeometry_20412noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7717, "image": "images/SyntheticGeometry/syntheticgeometry_06411.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7718, "image": "images/SyntheticGeometry/syntheticgeometry_16663.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7719, "image": "images/SyntheticGeometry/syntheticgeometry_25314noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7720, "image": "images/SyntheticGeometry/syntheticgeometry_44510.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7721, "image": "images/SyntheticGeometry/syntheticgeometry_39598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7722, "image": "images/SyntheticGeometry/syntheticgeometry_31517.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7723, "image": "images/SyntheticGeometry/syntheticgeometry_49400noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7724, "image": "images/SyntheticGeometry/syntheticgeometry_42602.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7725, "image": "images/SyntheticGeometry/syntheticgeometry_35125noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7726, "image": "images/SyntheticGeometry/syntheticgeometry_16379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7727, "image": "images/SyntheticGeometry/syntheticgeometry_29649noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7728, "image": "images/SyntheticGeometry/syntheticgeometry_49806.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7729, "image": "images/SyntheticGeometry/syntheticgeometry_22448.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7730, "image": "images/SyntheticGeometry/syntheticgeometry_27658.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7731, "image": "images/SyntheticGeometry/syntheticgeometry_42216.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7732, "image": "images/SyntheticGeometry/syntheticgeometry_45509noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7733, "image": "images/SyntheticGeometry/syntheticgeometry_24073.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7734, "image": "images/SyntheticGeometry/syntheticgeometry_31642.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7735, "image": "images/SyntheticGeometry/syntheticgeometry_25656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7736, "image": "images/SyntheticGeometry/syntheticgeometry_25610noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7737, "image": "images/SyntheticGeometry/syntheticgeometry_02310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7738, "image": "images/SyntheticGeometry/syntheticgeometry_25309.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7739, "image": "images/SyntheticGeometry/syntheticgeometry_24866noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7740, "image": "images/SyntheticGeometry/syntheticgeometry_34016.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7741, "image": "images/SyntheticGeometry/syntheticgeometry_03354noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7742, "image": "images/SyntheticGeometry/syntheticgeometry_22200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7743, "image": "images/SyntheticGeometry/syntheticgeometry_18401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7744, "image": "images/SyntheticGeometry/syntheticgeometry_28842.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7745, "image": "images/SyntheticGeometry/syntheticgeometry_40698noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7746, "image": "images/SyntheticGeometry/syntheticgeometry_04170noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7747, "image": "images/SyntheticGeometry/syntheticgeometry_32099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7748, "image": "images/SyntheticGeometry/syntheticgeometry_14094.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7749, "image": "images/SyntheticGeometry/syntheticgeometry_02134noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7750, "image": "images/SyntheticGeometry/syntheticgeometry_41567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7751, "image": "images/SyntheticGeometry/syntheticgeometry_26502noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7752, "image": "images/SyntheticGeometry/syntheticgeometry_44175noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7753, "image": "images/SyntheticGeometry/syntheticgeometry_07851noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7754, "image": "images/SyntheticGeometry/syntheticgeometry_48420noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7755, "image": "images/SyntheticGeometry/syntheticgeometry_33858noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7756, "image": "images/SyntheticGeometry/syntheticgeometry_31397noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7757, "image": "images/SyntheticGeometry/syntheticgeometry_15017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7758, "image": "images/SyntheticGeometry/syntheticgeometry_03850noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7759, "image": "images/SyntheticGeometry/syntheticgeometry_37710noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7760, "image": "images/SyntheticGeometry/syntheticgeometry_04692.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7761, "image": "images/SyntheticGeometry/syntheticgeometry_49636noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7762, "image": "images/SyntheticGeometry/syntheticgeometry_20659.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7763, "image": "images/SyntheticGeometry/syntheticgeometry_04716noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7764, "image": "images/SyntheticGeometry/syntheticgeometry_44684noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7765, "image": "images/SyntheticGeometry/syntheticgeometry_25206noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7766, "image": "images/SyntheticGeometry/syntheticgeometry_02498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7767, "image": "images/SyntheticGeometry/syntheticgeometry_12590.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7768, "image": "images/SyntheticGeometry/syntheticgeometry_03152.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7769, "image": "images/SyntheticGeometry/syntheticgeometry_37074noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7770, "image": "images/SyntheticGeometry/syntheticgeometry_12518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7771, "image": "images/SyntheticGeometry/syntheticgeometry_42153noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7772, "image": "images/SyntheticGeometry/syntheticgeometry_27252noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7773, "image": "images/SyntheticGeometry/syntheticgeometry_15736noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7774, "image": "images/SyntheticGeometry/syntheticgeometry_38376noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7775, "image": "images/SyntheticGeometry/syntheticgeometry_37711noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7776, "image": "images/SyntheticGeometry/syntheticgeometry_11291noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7777, "image": "images/SyntheticGeometry/syntheticgeometry_47972.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7778, "image": "images/SyntheticGeometry/syntheticgeometry_28637noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle RQF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7779, "image": "images/SyntheticGeometry/syntheticgeometry_07219noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7780, "image": "images/SyntheticGeometry/syntheticgeometry_36500noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7781, "image": "images/SyntheticGeometry/syntheticgeometry_25542noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7782, "image": "images/SyntheticGeometry/syntheticgeometry_28385.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7783, "image": "images/SyntheticGeometry/syntheticgeometry_45729noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7784, "image": "images/SyntheticGeometry/syntheticgeometry_33997.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7785, "image": "images/SyntheticGeometry/syntheticgeometry_45872.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7786, "image": "images/SyntheticGeometry/syntheticgeometry_34605noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7787, "image": "images/SyntheticGeometry/syntheticgeometry_27004.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7788, "image": "images/SyntheticGeometry/syntheticgeometry_29581.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7789, "image": "images/SyntheticGeometry/syntheticgeometry_10472noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7790, "image": "images/SyntheticGeometry/syntheticgeometry_26913.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7791, "image": "images/SyntheticGeometry/syntheticgeometry_09219.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7792, "image": "images/SyntheticGeometry/syntheticgeometry_17844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7793, "image": "images/SyntheticGeometry/syntheticgeometry_37343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7794, "image": "images/SyntheticGeometry/syntheticgeometry_30732.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7795, "image": "images/SyntheticGeometry/syntheticgeometry_41019noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7796, "image": "images/SyntheticGeometry/syntheticgeometry_11526noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7797, "image": "images/SyntheticGeometry/syntheticgeometry_10307noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7798, "image": "images/SyntheticGeometry/syntheticgeometry_23585noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7799, "image": "images/SyntheticGeometry/syntheticgeometry_11030noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7800, "image": "images/SyntheticGeometry/syntheticgeometry_38833.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7801, "image": "images/SyntheticGeometry/syntheticgeometry_05777noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle PFB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7802, "image": "images/SyntheticGeometry/syntheticgeometry_44001.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7803, "image": "images/SyntheticGeometry/syntheticgeometry_34922noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7804, "image": "images/SyntheticGeometry/syntheticgeometry_10776.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7805, "image": "images/SyntheticGeometry/syntheticgeometry_04858noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7806, "image": "images/SyntheticGeometry/syntheticgeometry_31876.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7807, "image": "images/SyntheticGeometry/syntheticgeometry_27403noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7808, "image": "images/SyntheticGeometry/syntheticgeometry_21223.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7809, "image": "images/SyntheticGeometry/syntheticgeometry_48983noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7810, "image": "images/SyntheticGeometry/syntheticgeometry_20394.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7811, "image": "images/SyntheticGeometry/syntheticgeometry_20250noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7812, "image": "images/SyntheticGeometry/syntheticgeometry_13434noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7813, "image": "images/SyntheticGeometry/syntheticgeometry_05206.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7814, "image": "images/SyntheticGeometry/syntheticgeometry_36978.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7815, "image": "images/SyntheticGeometry/syntheticgeometry_46680noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7816, "image": "images/SyntheticGeometry/syntheticgeometry_05118noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7817, "image": "images/SyntheticGeometry/syntheticgeometry_04817noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7818, "image": "images/SyntheticGeometry/syntheticgeometry_10351noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7819, "image": "images/SyntheticGeometry/syntheticgeometry_14820noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7820, "image": "images/SyntheticGeometry/syntheticgeometry_12145noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7821, "image": "images/SyntheticGeometry/syntheticgeometry_29306noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7822, "image": "images/SyntheticGeometry/syntheticgeometry_19200noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7823, "image": "images/SyntheticGeometry/syntheticgeometry_14552.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7824, "image": "images/SyntheticGeometry/syntheticgeometry_08580.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7825, "image": "images/SyntheticGeometry/syntheticgeometry_24423.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7826, "image": "images/SyntheticGeometry/syntheticgeometry_18810noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7827, "image": "images/SyntheticGeometry/syntheticgeometry_30553noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7828, "image": "images/SyntheticGeometry/syntheticgeometry_02812noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7829, "image": "images/SyntheticGeometry/syntheticgeometry_15748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7830, "image": "images/SyntheticGeometry/syntheticgeometry_17171noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LBD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7831, "image": "images/SyntheticGeometry/syntheticgeometry_17554noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7832, "image": "images/SyntheticGeometry/syntheticgeometry_44161.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7833, "image": "images/SyntheticGeometry/syntheticgeometry_13618noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7834, "image": "images/SyntheticGeometry/syntheticgeometry_08359noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7835, "image": "images/SyntheticGeometry/syntheticgeometry_45157noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7836, "image": "images/SyntheticGeometry/syntheticgeometry_37443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7837, "image": "images/SyntheticGeometry/syntheticgeometry_35100noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7838, "image": "images/SyntheticGeometry/syntheticgeometry_33100noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7839, "image": "images/SyntheticGeometry/syntheticgeometry_32974.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7840, "image": "images/SyntheticGeometry/syntheticgeometry_09673.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7841, "image": "images/SyntheticGeometry/syntheticgeometry_19613noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7842, "image": "images/SyntheticGeometry/syntheticgeometry_07306noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7843, "image": "images/SyntheticGeometry/syntheticgeometry_11710.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7844, "image": "images/SyntheticGeometry/syntheticgeometry_02809.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7845, "image": "images/SyntheticGeometry/syntheticgeometry_26231noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CLF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7846, "image": "images/SyntheticGeometry/syntheticgeometry_46605noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7847, "image": "images/SyntheticGeometry/syntheticgeometry_33325.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7848, "image": "images/SyntheticGeometry/syntheticgeometry_29458noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7849, "image": "images/SyntheticGeometry/syntheticgeometry_10513noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7850, "image": "images/SyntheticGeometry/syntheticgeometry_41612.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7851, "image": "images/SyntheticGeometry/syntheticgeometry_13749noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7852, "image": "images/SyntheticGeometry/syntheticgeometry_21931.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7853, "image": "images/SyntheticGeometry/syntheticgeometry_21851noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7854, "image": "images/SyntheticGeometry/syntheticgeometry_19622noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7855, "image": "images/SyntheticGeometry/syntheticgeometry_29421.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7856, "image": "images/SyntheticGeometry/syntheticgeometry_09512noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7857, "image": "images/SyntheticGeometry/syntheticgeometry_24979.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7858, "image": "images/SyntheticGeometry/syntheticgeometry_15942noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7859, "image": "images/SyntheticGeometry/syntheticgeometry_47354noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7860, "image": "images/SyntheticGeometry/syntheticgeometry_41112noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7861, "image": "images/SyntheticGeometry/syntheticgeometry_06270.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7862, "image": "images/SyntheticGeometry/syntheticgeometry_28976noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7863, "image": "images/SyntheticGeometry/syntheticgeometry_15933noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7864, "image": "images/SyntheticGeometry/syntheticgeometry_08373noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7865, "image": "images/SyntheticGeometry/syntheticgeometry_44086.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7866, "image": "images/SyntheticGeometry/syntheticgeometry_36896.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7867, "image": "images/SyntheticGeometry/syntheticgeometry_42241.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7868, "image": "images/SyntheticGeometry/syntheticgeometry_04261.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7869, "image": "images/SyntheticGeometry/syntheticgeometry_31360.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7870, "image": "images/SyntheticGeometry/syntheticgeometry_09738.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7871, "image": "images/SyntheticGeometry/syntheticgeometry_39748noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7872, "image": "images/SyntheticGeometry/syntheticgeometry_16529noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7873, "image": "images/SyntheticGeometry/syntheticgeometry_36946.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7874, "image": "images/SyntheticGeometry/syntheticgeometry_17898noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7875, "image": "images/SyntheticGeometry/syntheticgeometry_21819noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7876, "image": "images/SyntheticGeometry/syntheticgeometry_39422.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7877, "image": "images/SyntheticGeometry/syntheticgeometry_05850noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7878, "image": "images/SyntheticGeometry/syntheticgeometry_26566noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7879, "image": "images/SyntheticGeometry/syntheticgeometry_09297noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7880, "image": "images/SyntheticGeometry/syntheticgeometry_04025noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7881, "image": "images/SyntheticGeometry/syntheticgeometry_33900noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7882, "image": "images/SyntheticGeometry/syntheticgeometry_08173.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7883, "image": "images/SyntheticGeometry/syntheticgeometry_31374noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7884, "image": "images/SyntheticGeometry/syntheticgeometry_02415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7885, "image": "images/SyntheticGeometry/syntheticgeometry_46810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7886, "image": "images/SyntheticGeometry/syntheticgeometry_33727noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7887, "image": "images/SyntheticGeometry/syntheticgeometry_05262noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7888, "image": "images/SyntheticGeometry/syntheticgeometry_30531noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7889, "image": "images/SyntheticGeometry/syntheticgeometry_06284noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7890, "image": "images/SyntheticGeometry/syntheticgeometry_13067noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7891, "image": "images/SyntheticGeometry/syntheticgeometry_48471noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7892, "image": "images/SyntheticGeometry/syntheticgeometry_49523.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7893, "image": "images/SyntheticGeometry/syntheticgeometry_40242noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7894, "image": "images/SyntheticGeometry/syntheticgeometry_05208.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7895, "image": "images/SyntheticGeometry/syntheticgeometry_19435.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7896, "image": "images/SyntheticGeometry/syntheticgeometry_44597.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7897, "image": "images/SyntheticGeometry/syntheticgeometry_19987noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7898, "image": "images/SyntheticGeometry/syntheticgeometry_05460.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7899, "image": "images/SyntheticGeometry/syntheticgeometry_10876noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7900, "image": "images/SyntheticGeometry/syntheticgeometry_25102noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IPO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7901, "image": "images/SyntheticGeometry/syntheticgeometry_04355noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7902, "image": "images/SyntheticGeometry/syntheticgeometry_30751noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7903, "image": "images/SyntheticGeometry/syntheticgeometry_21916.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7904, "image": "images/SyntheticGeometry/syntheticgeometry_18876.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7905, "image": "images/SyntheticGeometry/syntheticgeometry_46694.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7906, "image": "images/SyntheticGeometry/syntheticgeometry_45563noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7907, "image": "images/SyntheticGeometry/syntheticgeometry_15108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7908, "image": "images/SyntheticGeometry/syntheticgeometry_48150noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7909, "image": "images/SyntheticGeometry/syntheticgeometry_32046noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7910, "image": "images/SyntheticGeometry/syntheticgeometry_08126noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7911, "image": "images/SyntheticGeometry/syntheticgeometry_02458noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7912, "image": "images/SyntheticGeometry/syntheticgeometry_44469.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7913, "image": "images/SyntheticGeometry/syntheticgeometry_23503noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7914, "image": "images/SyntheticGeometry/syntheticgeometry_18251noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7915, "image": "images/SyntheticGeometry/syntheticgeometry_43606noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7916, "image": "images/SyntheticGeometry/syntheticgeometry_44987noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7917, "image": "images/SyntheticGeometry/syntheticgeometry_41084noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HNF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7918, "image": "images/SyntheticGeometry/syntheticgeometry_31505noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7919, "image": "images/SyntheticGeometry/syntheticgeometry_04449noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7920, "image": "images/SyntheticGeometry/syntheticgeometry_18136noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7921, "image": "images/SyntheticGeometry/syntheticgeometry_17899noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7922, "image": "images/SyntheticGeometry/syntheticgeometry_05168noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7923, "image": "images/SyntheticGeometry/syntheticgeometry_28280.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7924, "image": "images/SyntheticGeometry/syntheticgeometry_49991noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7925, "image": "images/SyntheticGeometry/syntheticgeometry_38167noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7926, "image": "images/SyntheticGeometry/syntheticgeometry_02657noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7927, "image": "images/SyntheticGeometry/syntheticgeometry_28397.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7928, "image": "images/SyntheticGeometry/syntheticgeometry_30665noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7929, "image": "images/SyntheticGeometry/syntheticgeometry_29365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7930, "image": "images/SyntheticGeometry/syntheticgeometry_23344noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7931, "image": "images/SyntheticGeometry/syntheticgeometry_14317.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7932, "image": "images/SyntheticGeometry/syntheticgeometry_43060noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7933, "image": "images/SyntheticGeometry/syntheticgeometry_29447.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7934, "image": "images/SyntheticGeometry/syntheticgeometry_19795.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7935, "image": "images/SyntheticGeometry/syntheticgeometry_40805.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7936, "image": "images/SyntheticGeometry/syntheticgeometry_10045noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7937, "image": "images/SyntheticGeometry/syntheticgeometry_30746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7938, "image": "images/SyntheticGeometry/syntheticgeometry_21790.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7939, "image": "images/SyntheticGeometry/syntheticgeometry_18848.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7940, "image": "images/SyntheticGeometry/syntheticgeometry_18827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7941, "image": "images/SyntheticGeometry/syntheticgeometry_25213noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7942, "image": "images/SyntheticGeometry/syntheticgeometry_02283noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7943, "image": "images/SyntheticGeometry/syntheticgeometry_02769noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7944, "image": "images/SyntheticGeometry/syntheticgeometry_43110noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7945, "image": "images/SyntheticGeometry/syntheticgeometry_49624noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7946, "image": "images/SyntheticGeometry/syntheticgeometry_40220noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7947, "image": "images/SyntheticGeometry/syntheticgeometry_15812noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7948, "image": "images/SyntheticGeometry/syntheticgeometry_44746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7949, "image": "images/SyntheticGeometry/syntheticgeometry_07844noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7950, "image": "images/SyntheticGeometry/syntheticgeometry_33318noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7951, "image": "images/SyntheticGeometry/syntheticgeometry_37351noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7952, "image": "images/SyntheticGeometry/syntheticgeometry_15707noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7953, "image": "images/SyntheticGeometry/syntheticgeometry_29018noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7954, "image": "images/SyntheticGeometry/syntheticgeometry_30750noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7955, "image": "images/SyntheticGeometry/syntheticgeometry_40386.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7956, "image": "images/SyntheticGeometry/syntheticgeometry_41359.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7957, "image": "images/SyntheticGeometry/syntheticgeometry_49164.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7958, "image": "images/SyntheticGeometry/syntheticgeometry_27696noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7959, "image": "images/SyntheticGeometry/syntheticgeometry_30511noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7960, "image": "images/SyntheticGeometry/syntheticgeometry_30579noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7961, "image": "images/SyntheticGeometry/syntheticgeometry_06397noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7962, "image": "images/SyntheticGeometry/syntheticgeometry_10365noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7963, "image": "images/SyntheticGeometry/syntheticgeometry_08680noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7964, "image": "images/SyntheticGeometry/syntheticgeometry_07357.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7965, "image": "images/SyntheticGeometry/syntheticgeometry_25159.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7966, "image": "images/SyntheticGeometry/syntheticgeometry_02275noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7967, "image": "images/SyntheticGeometry/syntheticgeometry_04311noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7968, "image": "images/SyntheticGeometry/syntheticgeometry_46648noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7969, "image": "images/SyntheticGeometry/syntheticgeometry_17810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7970, "image": "images/SyntheticGeometry/syntheticgeometry_11746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7971, "image": "images/SyntheticGeometry/syntheticgeometry_31529noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7972, "image": "images/SyntheticGeometry/syntheticgeometry_23171noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7973, "image": "images/SyntheticGeometry/syntheticgeometry_10483noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7974, "image": "images/SyntheticGeometry/syntheticgeometry_14439noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7975, "image": "images/SyntheticGeometry/syntheticgeometry_20816.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7976, "image": "images/SyntheticGeometry/syntheticgeometry_30242.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7977, "image": "images/SyntheticGeometry/syntheticgeometry_18459noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7978, "image": "images/SyntheticGeometry/syntheticgeometry_21438noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7979, "image": "images/SyntheticGeometry/syntheticgeometry_21199.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7980, "image": "images/SyntheticGeometry/syntheticgeometry_26104noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7981, "image": "images/SyntheticGeometry/syntheticgeometry_18989.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7982, "image": "images/SyntheticGeometry/syntheticgeometry_11186.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7983, "image": "images/SyntheticGeometry/syntheticgeometry_48333noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7984, "image": "images/SyntheticGeometry/syntheticgeometry_02673noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7985, "image": "images/SyntheticGeometry/syntheticgeometry_31380noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7986, "image": "images/SyntheticGeometry/syntheticgeometry_33297noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7987, "image": "images/SyntheticGeometry/syntheticgeometry_28867noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7988, "image": "images/SyntheticGeometry/syntheticgeometry_20183noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7989, "image": "images/SyntheticGeometry/syntheticgeometry_45423noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7990, "image": "images/SyntheticGeometry/syntheticgeometry_17158noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7991, "image": "images/SyntheticGeometry/syntheticgeometry_13706noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7992, "image": "images/SyntheticGeometry/syntheticgeometry_09870.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7993, "image": "images/SyntheticGeometry/syntheticgeometry_16298.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7994, "image": "images/SyntheticGeometry/syntheticgeometry_17036noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7995, "image": "images/SyntheticGeometry/syntheticgeometry_31885noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7996, "image": "images/SyntheticGeometry/syntheticgeometry_49633noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7997, "image": "images/SyntheticGeometry/syntheticgeometry_09496.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7998, "image": "images/SyntheticGeometry/syntheticgeometry_14843noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 7999, "image": "images/SyntheticGeometry/syntheticgeometry_06780.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8000, "image": "images/SyntheticGeometry/syntheticgeometry_17011noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8001, "image": "images/SyntheticGeometry/syntheticgeometry_19546noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8002, "image": "images/SyntheticGeometry/syntheticgeometry_29568noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8003, "image": "images/SyntheticGeometry/syntheticgeometry_45685.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8004, "image": "images/SyntheticGeometry/syntheticgeometry_19168.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8005, "image": "images/SyntheticGeometry/syntheticgeometry_26945noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8006, "image": "images/SyntheticGeometry/syntheticgeometry_02820noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8007, "image": "images/SyntheticGeometry/syntheticgeometry_17860.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8008, "image": "images/SyntheticGeometry/syntheticgeometry_05847.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8009, "image": "images/SyntheticGeometry/syntheticgeometry_16188noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8010, "image": "images/SyntheticGeometry/syntheticgeometry_34716noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8011, "image": "images/SyntheticGeometry/syntheticgeometry_13460.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8012, "image": "images/SyntheticGeometry/syntheticgeometry_19824noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8013, "image": "images/SyntheticGeometry/syntheticgeometry_31250noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8014, "image": "images/SyntheticGeometry/syntheticgeometry_38219.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8015, "image": "images/SyntheticGeometry/syntheticgeometry_03204.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8016, "image": "images/SyntheticGeometry/syntheticgeometry_17578noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8017, "image": "images/SyntheticGeometry/syntheticgeometry_13113noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8018, "image": "images/SyntheticGeometry/syntheticgeometry_48805noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8019, "image": "images/SyntheticGeometry/syntheticgeometry_39714.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8020, "image": "images/SyntheticGeometry/syntheticgeometry_43240noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8021, "image": "images/SyntheticGeometry/syntheticgeometry_34748noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8022, "image": "images/SyntheticGeometry/syntheticgeometry_49649noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8023, "image": "images/SyntheticGeometry/syntheticgeometry_29665noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8024, "image": "images/SyntheticGeometry/syntheticgeometry_28792noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8025, "image": "images/SyntheticGeometry/syntheticgeometry_05412.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8026, "image": "images/SyntheticGeometry/syntheticgeometry_17041noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8027, "image": "images/SyntheticGeometry/syntheticgeometry_42639.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8028, "image": "images/SyntheticGeometry/syntheticgeometry_24379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8029, "image": "images/SyntheticGeometry/syntheticgeometry_11083noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8030, "image": "images/SyntheticGeometry/syntheticgeometry_15546.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8031, "image": "images/SyntheticGeometry/syntheticgeometry_18861.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8032, "image": "images/SyntheticGeometry/syntheticgeometry_22172.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8033, "image": "images/SyntheticGeometry/syntheticgeometry_44448.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8034, "image": "images/SyntheticGeometry/syntheticgeometry_20407noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8035, "image": "images/SyntheticGeometry/syntheticgeometry_49124.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8036, "image": "images/SyntheticGeometry/syntheticgeometry_15524noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8037, "image": "images/SyntheticGeometry/syntheticgeometry_37116noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8038, "image": "images/SyntheticGeometry/syntheticgeometry_40976noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8039, "image": "images/SyntheticGeometry/syntheticgeometry_05434.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8040, "image": "images/SyntheticGeometry/syntheticgeometry_33697noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8041, "image": "images/SyntheticGeometry/syntheticgeometry_12086noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8042, "image": "images/SyntheticGeometry/syntheticgeometry_25373noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8043, "image": "images/SyntheticGeometry/syntheticgeometry_15237.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8044, "image": "images/SyntheticGeometry/syntheticgeometry_16151.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8045, "image": "images/SyntheticGeometry/syntheticgeometry_29375noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8046, "image": "images/SyntheticGeometry/syntheticgeometry_49679.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8047, "image": "images/SyntheticGeometry/syntheticgeometry_25072noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8048, "image": "images/SyntheticGeometry/syntheticgeometry_05072.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8049, "image": "images/SyntheticGeometry/syntheticgeometry_05059noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8050, "image": "images/SyntheticGeometry/syntheticgeometry_31489noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8051, "image": "images/SyntheticGeometry/syntheticgeometry_10372noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8052, "image": "images/SyntheticGeometry/syntheticgeometry_40605noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8053, "image": "images/SyntheticGeometry/syntheticgeometry_49954noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8054, "image": "images/SyntheticGeometry/syntheticgeometry_42893.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8055, "image": "images/SyntheticGeometry/syntheticgeometry_22510noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8056, "image": "images/SyntheticGeometry/syntheticgeometry_07053noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8057, "image": "images/SyntheticGeometry/syntheticgeometry_37345.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8058, "image": "images/SyntheticGeometry/syntheticgeometry_32186noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8059, "image": "images/SyntheticGeometry/syntheticgeometry_15640noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8060, "image": "images/SyntheticGeometry/syntheticgeometry_13643noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8061, "image": "images/SyntheticGeometry/syntheticgeometry_02333noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8062, "image": "images/SyntheticGeometry/syntheticgeometry_45996noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8063, "image": "images/SyntheticGeometry/syntheticgeometry_29560noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8064, "image": "images/SyntheticGeometry/syntheticgeometry_31579.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8065, "image": "images/SyntheticGeometry/syntheticgeometry_07988.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8066, "image": "images/SyntheticGeometry/syntheticgeometry_38211.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8067, "image": "images/SyntheticGeometry/syntheticgeometry_25093noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle INB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8068, "image": "images/SyntheticGeometry/syntheticgeometry_34715noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8069, "image": "images/SyntheticGeometry/syntheticgeometry_03322noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8070, "image": "images/SyntheticGeometry/syntheticgeometry_49315.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8071, "image": "images/SyntheticGeometry/syntheticgeometry_12175noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8072, "image": "images/SyntheticGeometry/syntheticgeometry_48495noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8073, "image": "images/SyntheticGeometry/syntheticgeometry_33742.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8074, "image": "images/SyntheticGeometry/syntheticgeometry_20521.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8075, "image": "images/SyntheticGeometry/syntheticgeometry_44395noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle POB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8076, "image": "images/SyntheticGeometry/syntheticgeometry_24001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8077, "image": "images/SyntheticGeometry/syntheticgeometry_14810noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8078, "image": "images/SyntheticGeometry/syntheticgeometry_43498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8079, "image": "images/SyntheticGeometry/syntheticgeometry_25575.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8080, "image": "images/SyntheticGeometry/syntheticgeometry_17225noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8081, "image": "images/SyntheticGeometry/syntheticgeometry_26425noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8082, "image": "images/SyntheticGeometry/syntheticgeometry_05725.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8083, "image": "images/SyntheticGeometry/syntheticgeometry_43542noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8084, "image": "images/SyntheticGeometry/syntheticgeometry_46004noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8085, "image": "images/SyntheticGeometry/syntheticgeometry_25164noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8086, "image": "images/SyntheticGeometry/syntheticgeometry_35937noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8087, "image": "images/SyntheticGeometry/syntheticgeometry_03868.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8088, "image": "images/SyntheticGeometry/syntheticgeometry_05629noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8089, "image": "images/SyntheticGeometry/syntheticgeometry_20800noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8090, "image": "images/SyntheticGeometry/syntheticgeometry_45077noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8091, "image": "images/SyntheticGeometry/syntheticgeometry_14070noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8092, "image": "images/SyntheticGeometry/syntheticgeometry_30465noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8093, "image": "images/SyntheticGeometry/syntheticgeometry_12284noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8094, "image": "images/SyntheticGeometry/syntheticgeometry_36652noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8095, "image": "images/SyntheticGeometry/syntheticgeometry_47774.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8096, "image": "images/SyntheticGeometry/syntheticgeometry_22220noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8097, "image": "images/SyntheticGeometry/syntheticgeometry_40742noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8098, "image": "images/SyntheticGeometry/syntheticgeometry_26868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8099, "image": "images/SyntheticGeometry/syntheticgeometry_48334noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8100, "image": "images/SyntheticGeometry/syntheticgeometry_34941.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8101, "image": "images/SyntheticGeometry/syntheticgeometry_48489noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8102, "image": "images/SyntheticGeometry/syntheticgeometry_32672noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8103, "image": "images/SyntheticGeometry/syntheticgeometry_02424noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8104, "image": "images/SyntheticGeometry/syntheticgeometry_46248noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8105, "image": "images/SyntheticGeometry/syntheticgeometry_38366.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8106, "image": "images/SyntheticGeometry/syntheticgeometry_02531noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8107, "image": "images/SyntheticGeometry/syntheticgeometry_10920noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8108, "image": "images/SyntheticGeometry/syntheticgeometry_40573noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8109, "image": "images/SyntheticGeometry/syntheticgeometry_05299noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8110, "image": "images/SyntheticGeometry/syntheticgeometry_30220noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8111, "image": "images/SyntheticGeometry/syntheticgeometry_06913noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8112, "image": "images/SyntheticGeometry/syntheticgeometry_16697noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8113, "image": "images/SyntheticGeometry/syntheticgeometry_40170noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8114, "image": "images/SyntheticGeometry/syntheticgeometry_46297.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8115, "image": "images/SyntheticGeometry/syntheticgeometry_03537.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8116, "image": "images/SyntheticGeometry/syntheticgeometry_32761noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8117, "image": "images/SyntheticGeometry/syntheticgeometry_34364.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8118, "image": "images/SyntheticGeometry/syntheticgeometry_22292noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8119, "image": "images/SyntheticGeometry/syntheticgeometry_23711noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8120, "image": "images/SyntheticGeometry/syntheticgeometry_34033noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8121, "image": "images/SyntheticGeometry/syntheticgeometry_44123.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8122, "image": "images/SyntheticGeometry/syntheticgeometry_49535noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8123, "image": "images/SyntheticGeometry/syntheticgeometry_33733.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8124, "image": "images/SyntheticGeometry/syntheticgeometry_19001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8125, "image": "images/SyntheticGeometry/syntheticgeometry_37913noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8126, "image": "images/SyntheticGeometry/syntheticgeometry_07097noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8127, "image": "images/SyntheticGeometry/syntheticgeometry_06232noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8128, "image": "images/SyntheticGeometry/syntheticgeometry_17393.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8129, "image": "images/SyntheticGeometry/syntheticgeometry_13858noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8130, "image": "images/SyntheticGeometry/syntheticgeometry_25128noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8131, "image": "images/SyntheticGeometry/syntheticgeometry_09635.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8132, "image": "images/SyntheticGeometry/syntheticgeometry_30648.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8133, "image": "images/SyntheticGeometry/syntheticgeometry_19430noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8134, "image": "images/SyntheticGeometry/syntheticgeometry_22655noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KJA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8135, "image": "images/SyntheticGeometry/syntheticgeometry_40735noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8136, "image": "images/SyntheticGeometry/syntheticgeometry_46685.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8137, "image": "images/SyntheticGeometry/syntheticgeometry_23052.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8138, "image": "images/SyntheticGeometry/syntheticgeometry_34197.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8139, "image": "images/SyntheticGeometry/syntheticgeometry_07952.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8140, "image": "images/SyntheticGeometry/syntheticgeometry_48099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8141, "image": "images/SyntheticGeometry/syntheticgeometry_15004.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8142, "image": "images/SyntheticGeometry/syntheticgeometry_25952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8143, "image": "images/SyntheticGeometry/syntheticgeometry_41016noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8144, "image": "images/SyntheticGeometry/syntheticgeometry_15664noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8145, "image": "images/SyntheticGeometry/syntheticgeometry_28811noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8146, "image": "images/SyntheticGeometry/syntheticgeometry_24817noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8147, "image": "images/SyntheticGeometry/syntheticgeometry_41944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KNG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8148, "image": "images/SyntheticGeometry/syntheticgeometry_38473.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8149, "image": "images/SyntheticGeometry/syntheticgeometry_33920noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8150, "image": "images/SyntheticGeometry/syntheticgeometry_06689noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8151, "image": "images/SyntheticGeometry/syntheticgeometry_43844noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8152, "image": "images/SyntheticGeometry/syntheticgeometry_44501.png", "conversations": [{"from": "human", "value": "\nThere is a triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8153, "image": "images/SyntheticGeometry/syntheticgeometry_45564noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8154, "image": "images/SyntheticGeometry/syntheticgeometry_23906.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8155, "image": "images/SyntheticGeometry/syntheticgeometry_28785.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8156, "image": "images/SyntheticGeometry/syntheticgeometry_42269noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8157, "image": "images/SyntheticGeometry/syntheticgeometry_22128noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8158, "image": "images/SyntheticGeometry/syntheticgeometry_32103noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8159, "image": "images/SyntheticGeometry/syntheticgeometry_15956noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8160, "image": "images/SyntheticGeometry/syntheticgeometry_37218noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8161, "image": "images/SyntheticGeometry/syntheticgeometry_08085noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8162, "image": "images/SyntheticGeometry/syntheticgeometry_28211noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8163, "image": "images/SyntheticGeometry/syntheticgeometry_39322.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8164, "image": "images/SyntheticGeometry/syntheticgeometry_20084noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8165, "image": "images/SyntheticGeometry/syntheticgeometry_25797noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8166, "image": "images/SyntheticGeometry/syntheticgeometry_38618.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8167, "image": "images/SyntheticGeometry/syntheticgeometry_17518.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8168, "image": "images/SyntheticGeometry/syntheticgeometry_38821noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8169, "image": "images/SyntheticGeometry/syntheticgeometry_09467.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8170, "image": "images/SyntheticGeometry/syntheticgeometry_22809.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8171, "image": "images/SyntheticGeometry/syntheticgeometry_13876.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8172, "image": "images/SyntheticGeometry/syntheticgeometry_12122noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8173, "image": "images/SyntheticGeometry/syntheticgeometry_41292.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8174, "image": "images/SyntheticGeometry/syntheticgeometry_23121noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LSH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8175, "image": "images/SyntheticGeometry/syntheticgeometry_22113noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8176, "image": "images/SyntheticGeometry/syntheticgeometry_17233noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8177, "image": "images/SyntheticGeometry/syntheticgeometry_13805noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8178, "image": "images/SyntheticGeometry/syntheticgeometry_41128.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8179, "image": "images/SyntheticGeometry/syntheticgeometry_27989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8180, "image": "images/SyntheticGeometry/syntheticgeometry_12572noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8181, "image": "images/SyntheticGeometry/syntheticgeometry_49502noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8182, "image": "images/SyntheticGeometry/syntheticgeometry_13392noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8183, "image": "images/SyntheticGeometry/syntheticgeometry_39444.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8184, "image": "images/SyntheticGeometry/syntheticgeometry_08888.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8185, "image": "images/SyntheticGeometry/syntheticgeometry_02075.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8186, "image": "images/SyntheticGeometry/syntheticgeometry_11744.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8187, "image": "images/SyntheticGeometry/syntheticgeometry_15660noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8188, "image": "images/SyntheticGeometry/syntheticgeometry_06221noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8189, "image": "images/SyntheticGeometry/syntheticgeometry_12395noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8190, "image": "images/SyntheticGeometry/syntheticgeometry_48121noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8191, "image": "images/SyntheticGeometry/syntheticgeometry_17759noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8192, "image": "images/SyntheticGeometry/syntheticgeometry_42729noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8193, "image": "images/SyntheticGeometry/syntheticgeometry_06832.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8194, "image": "images/SyntheticGeometry/syntheticgeometry_43777.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8195, "image": "images/SyntheticGeometry/syntheticgeometry_21159noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8196, "image": "images/SyntheticGeometry/syntheticgeometry_26008noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8197, "image": "images/SyntheticGeometry/syntheticgeometry_46268noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8198, "image": "images/SyntheticGeometry/syntheticgeometry_11132noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8199, "image": "images/SyntheticGeometry/syntheticgeometry_37286.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8200, "image": "images/SyntheticGeometry/syntheticgeometry_39195noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8201, "image": "images/SyntheticGeometry/syntheticgeometry_36561noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8202, "image": "images/SyntheticGeometry/syntheticgeometry_07967noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8203, "image": "images/SyntheticGeometry/syntheticgeometry_49353noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8204, "image": "images/SyntheticGeometry/syntheticgeometry_25974.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8205, "image": "images/SyntheticGeometry/syntheticgeometry_37533noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8206, "image": "images/SyntheticGeometry/syntheticgeometry_02282noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8207, "image": "images/SyntheticGeometry/syntheticgeometry_34256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8208, "image": "images/SyntheticGeometry/syntheticgeometry_45258noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8209, "image": "images/SyntheticGeometry/syntheticgeometry_03677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8210, "image": "images/SyntheticGeometry/syntheticgeometry_08143noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8211, "image": "images/SyntheticGeometry/syntheticgeometry_47472noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8212, "image": "images/SyntheticGeometry/syntheticgeometry_41739noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8213, "image": "images/SyntheticGeometry/syntheticgeometry_40526.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8214, "image": "images/SyntheticGeometry/syntheticgeometry_16578noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8215, "image": "images/SyntheticGeometry/syntheticgeometry_19817.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8216, "image": "images/SyntheticGeometry/syntheticgeometry_25058noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8217, "image": "images/SyntheticGeometry/syntheticgeometry_41052.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8218, "image": "images/SyntheticGeometry/syntheticgeometry_43840.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8219, "image": "images/SyntheticGeometry/syntheticgeometry_17608noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8220, "image": "images/SyntheticGeometry/syntheticgeometry_19432.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8221, "image": "images/SyntheticGeometry/syntheticgeometry_34739.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8222, "image": "images/SyntheticGeometry/syntheticgeometry_49718.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8223, "image": "images/SyntheticGeometry/syntheticgeometry_02039.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8224, "image": "images/SyntheticGeometry/syntheticgeometry_20003.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8225, "image": "images/SyntheticGeometry/syntheticgeometry_09031noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8226, "image": "images/SyntheticGeometry/syntheticgeometry_07530noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8227, "image": "images/SyntheticGeometry/syntheticgeometry_49878.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8228, "image": "images/SyntheticGeometry/syntheticgeometry_39093.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8229, "image": "images/SyntheticGeometry/syntheticgeometry_02815noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8230, "image": "images/SyntheticGeometry/syntheticgeometry_02852noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8231, "image": "images/SyntheticGeometry/syntheticgeometry_31621.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8232, "image": "images/SyntheticGeometry/syntheticgeometry_29561.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8233, "image": "images/SyntheticGeometry/syntheticgeometry_39958.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8234, "image": "images/SyntheticGeometry/syntheticgeometry_27467noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8235, "image": "images/SyntheticGeometry/syntheticgeometry_29935.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8236, "image": "images/SyntheticGeometry/syntheticgeometry_24749.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8237, "image": "images/SyntheticGeometry/syntheticgeometry_17583.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8238, "image": "images/SyntheticGeometry/syntheticgeometry_43509noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8239, "image": "images/SyntheticGeometry/syntheticgeometry_38454noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8240, "image": "images/SyntheticGeometry/syntheticgeometry_03201noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8241, "image": "images/SyntheticGeometry/syntheticgeometry_25511.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8242, "image": "images/SyntheticGeometry/syntheticgeometry_45722noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8243, "image": "images/SyntheticGeometry/syntheticgeometry_16937noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8244, "image": "images/SyntheticGeometry/syntheticgeometry_11302.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8245, "image": "images/SyntheticGeometry/syntheticgeometry_03836noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8246, "image": "images/SyntheticGeometry/syntheticgeometry_30570.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8247, "image": "images/SyntheticGeometry/syntheticgeometry_38091.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8248, "image": "images/SyntheticGeometry/syntheticgeometry_22427noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8249, "image": "images/SyntheticGeometry/syntheticgeometry_09427.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LND in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8250, "image": "images/SyntheticGeometry/syntheticgeometry_36687.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8251, "image": "images/SyntheticGeometry/syntheticgeometry_11817.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8252, "image": "images/SyntheticGeometry/syntheticgeometry_27851.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8253, "image": "images/SyntheticGeometry/syntheticgeometry_35387.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8254, "image": "images/SyntheticGeometry/syntheticgeometry_02650noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8255, "image": "images/SyntheticGeometry/syntheticgeometry_19401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8256, "image": "images/SyntheticGeometry/syntheticgeometry_04461.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8257, "image": "images/SyntheticGeometry/syntheticgeometry_09852noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8258, "image": "images/SyntheticGeometry/syntheticgeometry_15053noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8259, "image": "images/SyntheticGeometry/syntheticgeometry_41032.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8260, "image": "images/SyntheticGeometry/syntheticgeometry_39166.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8261, "image": "images/SyntheticGeometry/syntheticgeometry_04231.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8262, "image": "images/SyntheticGeometry/syntheticgeometry_31145.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8263, "image": "images/SyntheticGeometry/syntheticgeometry_49654noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8264, "image": "images/SyntheticGeometry/syntheticgeometry_03590noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8265, "image": "images/SyntheticGeometry/syntheticgeometry_15584noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8266, "image": "images/SyntheticGeometry/syntheticgeometry_32400.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8267, "image": "images/SyntheticGeometry/syntheticgeometry_29043noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8268, "image": "images/SyntheticGeometry/syntheticgeometry_32473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8269, "image": "images/SyntheticGeometry/syntheticgeometry_31634noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8270, "image": "images/SyntheticGeometry/syntheticgeometry_10733noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8271, "image": "images/SyntheticGeometry/syntheticgeometry_12444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8272, "image": "images/SyntheticGeometry/syntheticgeometry_35395.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8273, "image": "images/SyntheticGeometry/syntheticgeometry_31906.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8274, "image": "images/SyntheticGeometry/syntheticgeometry_09692.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8275, "image": "images/SyntheticGeometry/syntheticgeometry_06318noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8276, "image": "images/SyntheticGeometry/syntheticgeometry_15651.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8277, "image": "images/SyntheticGeometry/syntheticgeometry_12463.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8278, "image": "images/SyntheticGeometry/syntheticgeometry_38895noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8279, "image": "images/SyntheticGeometry/syntheticgeometry_33606.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8280, "image": "images/SyntheticGeometry/syntheticgeometry_10064.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8281, "image": "images/SyntheticGeometry/syntheticgeometry_22035.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8282, "image": "images/SyntheticGeometry/syntheticgeometry_24957noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8283, "image": "images/SyntheticGeometry/syntheticgeometry_34822noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8284, "image": "images/SyntheticGeometry/syntheticgeometry_42212noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8285, "image": "images/SyntheticGeometry/syntheticgeometry_26161noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8286, "image": "images/SyntheticGeometry/syntheticgeometry_44508noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8287, "image": "images/SyntheticGeometry/syntheticgeometry_13471.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8288, "image": "images/SyntheticGeometry/syntheticgeometry_20885.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8289, "image": "images/SyntheticGeometry/syntheticgeometry_26714.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8290, "image": "images/SyntheticGeometry/syntheticgeometry_37783noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8291, "image": "images/SyntheticGeometry/syntheticgeometry_10209.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8292, "image": "images/SyntheticGeometry/syntheticgeometry_24383noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8293, "image": "images/SyntheticGeometry/syntheticgeometry_09722noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8294, "image": "images/SyntheticGeometry/syntheticgeometry_12895noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8295, "image": "images/SyntheticGeometry/syntheticgeometry_40756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8296, "image": "images/SyntheticGeometry/syntheticgeometry_40465noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8297, "image": "images/SyntheticGeometry/syntheticgeometry_21219.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8298, "image": "images/SyntheticGeometry/syntheticgeometry_10606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8299, "image": "images/SyntheticGeometry/syntheticgeometry_21222noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8300, "image": "images/SyntheticGeometry/syntheticgeometry_15404noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8301, "image": "images/SyntheticGeometry/syntheticgeometry_02474.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8302, "image": "images/SyntheticGeometry/syntheticgeometry_25082noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8303, "image": "images/SyntheticGeometry/syntheticgeometry_31995noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8304, "image": "images/SyntheticGeometry/syntheticgeometry_49728noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8305, "image": "images/SyntheticGeometry/syntheticgeometry_33944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8306, "image": "images/SyntheticGeometry/syntheticgeometry_34148noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8307, "image": "images/SyntheticGeometry/syntheticgeometry_09000noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8308, "image": "images/SyntheticGeometry/syntheticgeometry_18022noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8309, "image": "images/SyntheticGeometry/syntheticgeometry_20623noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8310, "image": "images/SyntheticGeometry/syntheticgeometry_47129.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8311, "image": "images/SyntheticGeometry/syntheticgeometry_04961noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8312, "image": "images/SyntheticGeometry/syntheticgeometry_05727noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8313, "image": "images/SyntheticGeometry/syntheticgeometry_29890noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8314, "image": "images/SyntheticGeometry/syntheticgeometry_13520noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8315, "image": "images/SyntheticGeometry/syntheticgeometry_35267noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8316, "image": "images/SyntheticGeometry/syntheticgeometry_16821noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8317, "image": "images/SyntheticGeometry/syntheticgeometry_49738noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8318, "image": "images/SyntheticGeometry/syntheticgeometry_12510noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CLN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8319, "image": "images/SyntheticGeometry/syntheticgeometry_47117noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8320, "image": "images/SyntheticGeometry/syntheticgeometry_37477noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8321, "image": "images/SyntheticGeometry/syntheticgeometry_49765.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8322, "image": "images/SyntheticGeometry/syntheticgeometry_43938noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8323, "image": "images/SyntheticGeometry/syntheticgeometry_02406noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8324, "image": "images/SyntheticGeometry/syntheticgeometry_18255.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8325, "image": "images/SyntheticGeometry/syntheticgeometry_12504noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EKP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8326, "image": "images/SyntheticGeometry/syntheticgeometry_43117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8327, "image": "images/SyntheticGeometry/syntheticgeometry_43416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8328, "image": "images/SyntheticGeometry/syntheticgeometry_45571noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8329, "image": "images/SyntheticGeometry/syntheticgeometry_31142.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8330, "image": "images/SyntheticGeometry/syntheticgeometry_40549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8331, "image": "images/SyntheticGeometry/syntheticgeometry_45075.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8332, "image": "images/SyntheticGeometry/syntheticgeometry_42505.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8333, "image": "images/SyntheticGeometry/syntheticgeometry_04050.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8334, "image": "images/SyntheticGeometry/syntheticgeometry_42574noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8335, "image": "images/SyntheticGeometry/syntheticgeometry_07036.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8336, "image": "images/SyntheticGeometry/syntheticgeometry_11091noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8337, "image": "images/SyntheticGeometry/syntheticgeometry_47888.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8338, "image": "images/SyntheticGeometry/syntheticgeometry_11628noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8339, "image": "images/SyntheticGeometry/syntheticgeometry_35534noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8340, "image": "images/SyntheticGeometry/syntheticgeometry_35049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8341, "image": "images/SyntheticGeometry/syntheticgeometry_31359noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8342, "image": "images/SyntheticGeometry/syntheticgeometry_40912.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8343, "image": "images/SyntheticGeometry/syntheticgeometry_32972.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8344, "image": "images/SyntheticGeometry/syntheticgeometry_10885noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8345, "image": "images/SyntheticGeometry/syntheticgeometry_37143.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8346, "image": "images/SyntheticGeometry/syntheticgeometry_48543noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8347, "image": "images/SyntheticGeometry/syntheticgeometry_21310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8348, "image": "images/SyntheticGeometry/syntheticgeometry_44892.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8349, "image": "images/SyntheticGeometry/syntheticgeometry_16117noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8350, "image": "images/SyntheticGeometry/syntheticgeometry_36375noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8351, "image": "images/SyntheticGeometry/syntheticgeometry_20107noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8352, "image": "images/SyntheticGeometry/syntheticgeometry_07497noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8353, "image": "images/SyntheticGeometry/syntheticgeometry_17306.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8354, "image": "images/SyntheticGeometry/syntheticgeometry_06957noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8355, "image": "images/SyntheticGeometry/syntheticgeometry_14797noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8356, "image": "images/SyntheticGeometry/syntheticgeometry_07794noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle INM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8357, "image": "images/SyntheticGeometry/syntheticgeometry_28752noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8358, "image": "images/SyntheticGeometry/syntheticgeometry_20345.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8359, "image": "images/SyntheticGeometry/syntheticgeometry_19245noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8360, "image": "images/SyntheticGeometry/syntheticgeometry_31572noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8361, "image": "images/SyntheticGeometry/syntheticgeometry_16521noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8362, "image": "images/SyntheticGeometry/syntheticgeometry_02057noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8363, "image": "images/SyntheticGeometry/syntheticgeometry_44012.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8364, "image": "images/SyntheticGeometry/syntheticgeometry_46811.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8365, "image": "images/SyntheticGeometry/syntheticgeometry_39939.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8366, "image": "images/SyntheticGeometry/syntheticgeometry_44369noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8367, "image": "images/SyntheticGeometry/syntheticgeometry_06679noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8368, "image": "images/SyntheticGeometry/syntheticgeometry_10929.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8369, "image": "images/SyntheticGeometry/syntheticgeometry_31039noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8370, "image": "images/SyntheticGeometry/syntheticgeometry_49501noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8371, "image": "images/SyntheticGeometry/syntheticgeometry_23286.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8372, "image": "images/SyntheticGeometry/syntheticgeometry_34738noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8373, "image": "images/SyntheticGeometry/syntheticgeometry_13396noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8374, "image": "images/SyntheticGeometry/syntheticgeometry_20432noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HKE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8375, "image": "images/SyntheticGeometry/syntheticgeometry_40510.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8376, "image": "images/SyntheticGeometry/syntheticgeometry_26908noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8377, "image": "images/SyntheticGeometry/syntheticgeometry_49140noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8378, "image": "images/SyntheticGeometry/syntheticgeometry_30885noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8379, "image": "images/SyntheticGeometry/syntheticgeometry_12775.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8380, "image": "images/SyntheticGeometry/syntheticgeometry_29827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8381, "image": "images/SyntheticGeometry/syntheticgeometry_44158noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8382, "image": "images/SyntheticGeometry/syntheticgeometry_30146noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8383, "image": "images/SyntheticGeometry/syntheticgeometry_04199.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8384, "image": "images/SyntheticGeometry/syntheticgeometry_36829noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8385, "image": "images/SyntheticGeometry/syntheticgeometry_44289noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8386, "image": "images/SyntheticGeometry/syntheticgeometry_49424.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8387, "image": "images/SyntheticGeometry/syntheticgeometry_15509noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8388, "image": "images/SyntheticGeometry/syntheticgeometry_44946noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8389, "image": "images/SyntheticGeometry/syntheticgeometry_26408.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8390, "image": "images/SyntheticGeometry/syntheticgeometry_12642noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8391, "image": "images/SyntheticGeometry/syntheticgeometry_41307noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8392, "image": "images/SyntheticGeometry/syntheticgeometry_46232noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8393, "image": "images/SyntheticGeometry/syntheticgeometry_14593.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8394, "image": "images/SyntheticGeometry/syntheticgeometry_04509noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8395, "image": "images/SyntheticGeometry/syntheticgeometry_36712noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8396, "image": "images/SyntheticGeometry/syntheticgeometry_25450noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8397, "image": "images/SyntheticGeometry/syntheticgeometry_05270noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8398, "image": "images/SyntheticGeometry/syntheticgeometry_40636noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8399, "image": "images/SyntheticGeometry/syntheticgeometry_31578noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8400, "image": "images/SyntheticGeometry/syntheticgeometry_10127noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8401, "image": "images/SyntheticGeometry/syntheticgeometry_17842noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8402, "image": "images/SyntheticGeometry/syntheticgeometry_42986noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8403, "image": "images/SyntheticGeometry/syntheticgeometry_20490noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8404, "image": "images/SyntheticGeometry/syntheticgeometry_35312noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8405, "image": "images/SyntheticGeometry/syntheticgeometry_20231noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8406, "image": "images/SyntheticGeometry/syntheticgeometry_41057noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8407, "image": "images/SyntheticGeometry/syntheticgeometry_34719noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8408, "image": "images/SyntheticGeometry/syntheticgeometry_48642noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8409, "image": "images/SyntheticGeometry/syntheticgeometry_48196noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8410, "image": "images/SyntheticGeometry/syntheticgeometry_11210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8411, "image": "images/SyntheticGeometry/syntheticgeometry_29745noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8412, "image": "images/SyntheticGeometry/syntheticgeometry_23031.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8413, "image": "images/SyntheticGeometry/syntheticgeometry_23441.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8414, "image": "images/SyntheticGeometry/syntheticgeometry_12170noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8415, "image": "images/SyntheticGeometry/syntheticgeometry_47417noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8416, "image": "images/SyntheticGeometry/syntheticgeometry_35009noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8417, "image": "images/SyntheticGeometry/syntheticgeometry_30682noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8418, "image": "images/SyntheticGeometry/syntheticgeometry_35948noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8419, "image": "images/SyntheticGeometry/syntheticgeometry_23087noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8420, "image": "images/SyntheticGeometry/syntheticgeometry_41013.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8421, "image": "images/SyntheticGeometry/syntheticgeometry_27765.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8422, "image": "images/SyntheticGeometry/syntheticgeometry_18911noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8423, "image": "images/SyntheticGeometry/syntheticgeometry_38116.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8424, "image": "images/SyntheticGeometry/syntheticgeometry_11163.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8425, "image": "images/SyntheticGeometry/syntheticgeometry_13454.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8426, "image": "images/SyntheticGeometry/syntheticgeometry_03094noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8427, "image": "images/SyntheticGeometry/syntheticgeometry_18152noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8428, "image": "images/SyntheticGeometry/syntheticgeometry_37450.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8429, "image": "images/SyntheticGeometry/syntheticgeometry_04323noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8430, "image": "images/SyntheticGeometry/syntheticgeometry_10785.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8431, "image": "images/SyntheticGeometry/syntheticgeometry_34034.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8432, "image": "images/SyntheticGeometry/syntheticgeometry_33843noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8433, "image": "images/SyntheticGeometry/syntheticgeometry_48429noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8434, "image": "images/SyntheticGeometry/syntheticgeometry_03357.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8435, "image": "images/SyntheticGeometry/syntheticgeometry_06723noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8436, "image": "images/SyntheticGeometry/syntheticgeometry_26328.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8437, "image": "images/SyntheticGeometry/syntheticgeometry_28122.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8438, "image": "images/SyntheticGeometry/syntheticgeometry_39223noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8439, "image": "images/SyntheticGeometry/syntheticgeometry_10951.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8440, "image": "images/SyntheticGeometry/syntheticgeometry_15056noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8441, "image": "images/SyntheticGeometry/syntheticgeometry_31279noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LNB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8442, "image": "images/SyntheticGeometry/syntheticgeometry_35642.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8443, "image": "images/SyntheticGeometry/syntheticgeometry_18035noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8444, "image": "images/SyntheticGeometry/syntheticgeometry_07109noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8445, "image": "images/SyntheticGeometry/syntheticgeometry_31427.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8446, "image": "images/SyntheticGeometry/syntheticgeometry_10921noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KBO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8447, "image": "images/SyntheticGeometry/syntheticgeometry_05347.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8448, "image": "images/SyntheticGeometry/syntheticgeometry_32844noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8449, "image": "images/SyntheticGeometry/syntheticgeometry_06037noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8450, "image": "images/SyntheticGeometry/syntheticgeometry_10657noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8451, "image": "images/SyntheticGeometry/syntheticgeometry_40129noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8452, "image": "images/SyntheticGeometry/syntheticgeometry_38681.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8453, "image": "images/SyntheticGeometry/syntheticgeometry_37807noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8454, "image": "images/SyntheticGeometry/syntheticgeometry_09465.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8455, "image": "images/SyntheticGeometry/syntheticgeometry_28208noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8456, "image": "images/SyntheticGeometry/syntheticgeometry_36506noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8457, "image": "images/SyntheticGeometry/syntheticgeometry_07476noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8458, "image": "images/SyntheticGeometry/syntheticgeometry_35888.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8459, "image": "images/SyntheticGeometry/syntheticgeometry_10602.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HFO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8460, "image": "images/SyntheticGeometry/syntheticgeometry_41904.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8461, "image": "images/SyntheticGeometry/syntheticgeometry_30528noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8462, "image": "images/SyntheticGeometry/syntheticgeometry_49070noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8463, "image": "images/SyntheticGeometry/syntheticgeometry_08470noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8464, "image": "images/SyntheticGeometry/syntheticgeometry_23078.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8465, "image": "images/SyntheticGeometry/syntheticgeometry_08237noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8466, "image": "images/SyntheticGeometry/syntheticgeometry_47397noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8467, "image": "images/SyntheticGeometry/syntheticgeometry_07132noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8468, "image": "images/SyntheticGeometry/syntheticgeometry_35563noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8469, "image": "images/SyntheticGeometry/syntheticgeometry_45202.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8470, "image": "images/SyntheticGeometry/syntheticgeometry_16665noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8471, "image": "images/SyntheticGeometry/syntheticgeometry_23649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8472, "image": "images/SyntheticGeometry/syntheticgeometry_45787.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8473, "image": "images/SyntheticGeometry/syntheticgeometry_20348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8474, "image": "images/SyntheticGeometry/syntheticgeometry_33235noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8475, "image": "images/SyntheticGeometry/syntheticgeometry_44926.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8476, "image": "images/SyntheticGeometry/syntheticgeometry_47813noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8477, "image": "images/SyntheticGeometry/syntheticgeometry_40562noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8478, "image": "images/SyntheticGeometry/syntheticgeometry_37365.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8479, "image": "images/SyntheticGeometry/syntheticgeometry_49453noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8480, "image": "images/SyntheticGeometry/syntheticgeometry_04299noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8481, "image": "images/SyntheticGeometry/syntheticgeometry_16942noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8482, "image": "images/SyntheticGeometry/syntheticgeometry_14994noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8483, "image": "images/SyntheticGeometry/syntheticgeometry_11286noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8484, "image": "images/SyntheticGeometry/syntheticgeometry_41813noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8485, "image": "images/SyntheticGeometry/syntheticgeometry_14954noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8486, "image": "images/SyntheticGeometry/syntheticgeometry_14622noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8487, "image": "images/SyntheticGeometry/syntheticgeometry_09164.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8488, "image": "images/SyntheticGeometry/syntheticgeometry_40062.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8489, "image": "images/SyntheticGeometry/syntheticgeometry_46721noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8490, "image": "images/SyntheticGeometry/syntheticgeometry_33234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8491, "image": "images/SyntheticGeometry/syntheticgeometry_34894.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8492, "image": "images/SyntheticGeometry/syntheticgeometry_49099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8493, "image": "images/SyntheticGeometry/syntheticgeometry_33097.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8494, "image": "images/SyntheticGeometry/syntheticgeometry_49850noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8495, "image": "images/SyntheticGeometry/syntheticgeometry_14279noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8496, "image": "images/SyntheticGeometry/syntheticgeometry_20702noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8497, "image": "images/SyntheticGeometry/syntheticgeometry_11353.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8498, "image": "images/SyntheticGeometry/syntheticgeometry_12200noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8499, "image": "images/SyntheticGeometry/syntheticgeometry_29424.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8500, "image": "images/SyntheticGeometry/syntheticgeometry_20662noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8501, "image": "images/SyntheticGeometry/syntheticgeometry_10334noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8502, "image": "images/SyntheticGeometry/syntheticgeometry_28958noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8503, "image": "images/SyntheticGeometry/syntheticgeometry_29323noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8504, "image": "images/SyntheticGeometry/syntheticgeometry_07932noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8505, "image": "images/SyntheticGeometry/syntheticgeometry_20078noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8506, "image": "images/SyntheticGeometry/syntheticgeometry_49079noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8507, "image": "images/SyntheticGeometry/syntheticgeometry_23064noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8508, "image": "images/SyntheticGeometry/syntheticgeometry_18342noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8509, "image": "images/SyntheticGeometry/syntheticgeometry_33316noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8510, "image": "images/SyntheticGeometry/syntheticgeometry_44960.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8511, "image": "images/SyntheticGeometry/syntheticgeometry_48402noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8512, "image": "images/SyntheticGeometry/syntheticgeometry_17524.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8513, "image": "images/SyntheticGeometry/syntheticgeometry_42229noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8514, "image": "images/SyntheticGeometry/syntheticgeometry_08583noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8515, "image": "images/SyntheticGeometry/syntheticgeometry_45911noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8516, "image": "images/SyntheticGeometry/syntheticgeometry_41827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8517, "image": "images/SyntheticGeometry/syntheticgeometry_42724noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8518, "image": "images/SyntheticGeometry/syntheticgeometry_46840noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8519, "image": "images/SyntheticGeometry/syntheticgeometry_12253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8520, "image": "images/SyntheticGeometry/syntheticgeometry_22567noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8521, "image": "images/SyntheticGeometry/syntheticgeometry_41666.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8522, "image": "images/SyntheticGeometry/syntheticgeometry_32322noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8523, "image": "images/SyntheticGeometry/syntheticgeometry_22871noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8524, "image": "images/SyntheticGeometry/syntheticgeometry_23174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8525, "image": "images/SyntheticGeometry/syntheticgeometry_17843noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8526, "image": "images/SyntheticGeometry/syntheticgeometry_47123noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8527, "image": "images/SyntheticGeometry/syntheticgeometry_31140.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8528, "image": "images/SyntheticGeometry/syntheticgeometry_10124noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8529, "image": "images/SyntheticGeometry/syntheticgeometry_04899noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8530, "image": "images/SyntheticGeometry/syntheticgeometry_20657.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8531, "image": "images/SyntheticGeometry/syntheticgeometry_17461noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8532, "image": "images/SyntheticGeometry/syntheticgeometry_19954.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8533, "image": "images/SyntheticGeometry/syntheticgeometry_39067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8534, "image": "images/SyntheticGeometry/syntheticgeometry_02058noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8535, "image": "images/SyntheticGeometry/syntheticgeometry_21506.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8536, "image": "images/SyntheticGeometry/syntheticgeometry_37171noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8537, "image": "images/SyntheticGeometry/syntheticgeometry_36524noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8538, "image": "images/SyntheticGeometry/syntheticgeometry_08405.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8539, "image": "images/SyntheticGeometry/syntheticgeometry_25429noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8540, "image": "images/SyntheticGeometry/syntheticgeometry_07407noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KDJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8541, "image": "images/SyntheticGeometry/syntheticgeometry_23919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8542, "image": "images/SyntheticGeometry/syntheticgeometry_41783.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8543, "image": "images/SyntheticGeometry/syntheticgeometry_32953noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8544, "image": "images/SyntheticGeometry/syntheticgeometry_26713noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8545, "image": "images/SyntheticGeometry/syntheticgeometry_38447.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8546, "image": "images/SyntheticGeometry/syntheticgeometry_11281.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8547, "image": "images/SyntheticGeometry/syntheticgeometry_23785noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8548, "image": "images/SyntheticGeometry/syntheticgeometry_40432noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8549, "image": "images/SyntheticGeometry/syntheticgeometry_30862noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8550, "image": "images/SyntheticGeometry/syntheticgeometry_08093.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8551, "image": "images/SyntheticGeometry/syntheticgeometry_49046.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8552, "image": "images/SyntheticGeometry/syntheticgeometry_39780noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8553, "image": "images/SyntheticGeometry/syntheticgeometry_09868.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8554, "image": "images/SyntheticGeometry/syntheticgeometry_12715noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8555, "image": "images/SyntheticGeometry/syntheticgeometry_18021.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8556, "image": "images/SyntheticGeometry/syntheticgeometry_07081.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8557, "image": "images/SyntheticGeometry/syntheticgeometry_44316noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8558, "image": "images/SyntheticGeometry/syntheticgeometry_21315noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8559, "image": "images/SyntheticGeometry/syntheticgeometry_29695.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8560, "image": "images/SyntheticGeometry/syntheticgeometry_13813.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8561, "image": "images/SyntheticGeometry/syntheticgeometry_42937.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8562, "image": "images/SyntheticGeometry/syntheticgeometry_34220noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8563, "image": "images/SyntheticGeometry/syntheticgeometry_30672noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8564, "image": "images/SyntheticGeometry/syntheticgeometry_28085noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8565, "image": "images/SyntheticGeometry/syntheticgeometry_21180.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8566, "image": "images/SyntheticGeometry/syntheticgeometry_46161.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8567, "image": "images/SyntheticGeometry/syntheticgeometry_45799.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8568, "image": "images/SyntheticGeometry/syntheticgeometry_21358noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8569, "image": "images/SyntheticGeometry/syntheticgeometry_15715.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8570, "image": "images/SyntheticGeometry/syntheticgeometry_15288noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8571, "image": "images/SyntheticGeometry/syntheticgeometry_15207noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8572, "image": "images/SyntheticGeometry/syntheticgeometry_07348.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8573, "image": "images/SyntheticGeometry/syntheticgeometry_44317noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8574, "image": "images/SyntheticGeometry/syntheticgeometry_18801.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8575, "image": "images/SyntheticGeometry/syntheticgeometry_05524.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8576, "image": "images/SyntheticGeometry/syntheticgeometry_37541noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8577, "image": "images/SyntheticGeometry/syntheticgeometry_30865noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8578, "image": "images/SyntheticGeometry/syntheticgeometry_12874noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8579, "image": "images/SyntheticGeometry/syntheticgeometry_05255noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8580, "image": "images/SyntheticGeometry/syntheticgeometry_05883noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8581, "image": "images/SyntheticGeometry/syntheticgeometry_19470noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8582, "image": "images/SyntheticGeometry/syntheticgeometry_17428.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8583, "image": "images/SyntheticGeometry/syntheticgeometry_37207noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8584, "image": "images/SyntheticGeometry/syntheticgeometry_44119noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8585, "image": "images/SyntheticGeometry/syntheticgeometry_37393noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8586, "image": "images/SyntheticGeometry/syntheticgeometry_32315.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8587, "image": "images/SyntheticGeometry/syntheticgeometry_09389noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8588, "image": "images/SyntheticGeometry/syntheticgeometry_45467.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8589, "image": "images/SyntheticGeometry/syntheticgeometry_39659noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8590, "image": "images/SyntheticGeometry/syntheticgeometry_17237noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8591, "image": "images/SyntheticGeometry/syntheticgeometry_49452.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8592, "image": "images/SyntheticGeometry/syntheticgeometry_42501.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8593, "image": "images/SyntheticGeometry/syntheticgeometry_37111.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8594, "image": "images/SyntheticGeometry/syntheticgeometry_06987noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8595, "image": "images/SyntheticGeometry/syntheticgeometry_16661noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8596, "image": "images/SyntheticGeometry/syntheticgeometry_45655noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8597, "image": "images/SyntheticGeometry/syntheticgeometry_09703noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8598, "image": "images/SyntheticGeometry/syntheticgeometry_12436.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8599, "image": "images/SyntheticGeometry/syntheticgeometry_42716.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8600, "image": "images/SyntheticGeometry/syntheticgeometry_28218.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8601, "image": "images/SyntheticGeometry/syntheticgeometry_41656noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8602, "image": "images/SyntheticGeometry/syntheticgeometry_38781.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8603, "image": "images/SyntheticGeometry/syntheticgeometry_43610.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8604, "image": "images/SyntheticGeometry/syntheticgeometry_23663noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8605, "image": "images/SyntheticGeometry/syntheticgeometry_35379noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8606, "image": "images/SyntheticGeometry/syntheticgeometry_19317noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8607, "image": "images/SyntheticGeometry/syntheticgeometry_08632.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8608, "image": "images/SyntheticGeometry/syntheticgeometry_17960noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8609, "image": "images/SyntheticGeometry/syntheticgeometry_12067noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8610, "image": "images/SyntheticGeometry/syntheticgeometry_26811.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8611, "image": "images/SyntheticGeometry/syntheticgeometry_17160noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8612, "image": "images/SyntheticGeometry/syntheticgeometry_49619noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8613, "image": "images/SyntheticGeometry/syntheticgeometry_02795noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8614, "image": "images/SyntheticGeometry/syntheticgeometry_37091noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8615, "image": "images/SyntheticGeometry/syntheticgeometry_19108noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8616, "image": "images/SyntheticGeometry/syntheticgeometry_14825noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FLK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8617, "image": "images/SyntheticGeometry/syntheticgeometry_49702noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8618, "image": "images/SyntheticGeometry/syntheticgeometry_39112noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8619, "image": "images/SyntheticGeometry/syntheticgeometry_23388noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8620, "image": "images/SyntheticGeometry/syntheticgeometry_30708noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8621, "image": "images/SyntheticGeometry/syntheticgeometry_40630noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8622, "image": "images/SyntheticGeometry/syntheticgeometry_02972noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8623, "image": "images/SyntheticGeometry/syntheticgeometry_34117noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8624, "image": "images/SyntheticGeometry/syntheticgeometry_28815noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8625, "image": "images/SyntheticGeometry/syntheticgeometry_08046noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8626, "image": "images/SyntheticGeometry/syntheticgeometry_07233.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8627, "image": "images/SyntheticGeometry/syntheticgeometry_42125noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8628, "image": "images/SyntheticGeometry/syntheticgeometry_05614.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8629, "image": "images/SyntheticGeometry/syntheticgeometry_40344.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8630, "image": "images/SyntheticGeometry/syntheticgeometry_22788noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8631, "image": "images/SyntheticGeometry/syntheticgeometry_11369noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8632, "image": "images/SyntheticGeometry/syntheticgeometry_34024noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8633, "image": "images/SyntheticGeometry/syntheticgeometry_15701noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8634, "image": "images/SyntheticGeometry/syntheticgeometry_24892.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8635, "image": "images/SyntheticGeometry/syntheticgeometry_46109.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8636, "image": "images/SyntheticGeometry/syntheticgeometry_36710noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8637, "image": "images/SyntheticGeometry/syntheticgeometry_14296.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8638, "image": "images/SyntheticGeometry/syntheticgeometry_20601.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8639, "image": "images/SyntheticGeometry/syntheticgeometry_49605noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8640, "image": "images/SyntheticGeometry/syntheticgeometry_14294noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8641, "image": "images/SyntheticGeometry/syntheticgeometry_30950.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8642, "image": "images/SyntheticGeometry/syntheticgeometry_05044noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8643, "image": "images/SyntheticGeometry/syntheticgeometry_17120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8644, "image": "images/SyntheticGeometry/syntheticgeometry_25239.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8645, "image": "images/SyntheticGeometry/syntheticgeometry_27025noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8646, "image": "images/SyntheticGeometry/syntheticgeometry_17643noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8647, "image": "images/SyntheticGeometry/syntheticgeometry_25815.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8648, "image": "images/SyntheticGeometry/syntheticgeometry_46699noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8649, "image": "images/SyntheticGeometry/syntheticgeometry_04320noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8650, "image": "images/SyntheticGeometry/syntheticgeometry_35619noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8651, "image": "images/SyntheticGeometry/syntheticgeometry_48703noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8652, "image": "images/SyntheticGeometry/syntheticgeometry_02143.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8653, "image": "images/SyntheticGeometry/syntheticgeometry_09548noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8654, "image": "images/SyntheticGeometry/syntheticgeometry_37480noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8655, "image": "images/SyntheticGeometry/syntheticgeometry_03568noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8656, "image": "images/SyntheticGeometry/syntheticgeometry_16434noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8657, "image": "images/SyntheticGeometry/syntheticgeometry_41950.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8658, "image": "images/SyntheticGeometry/syntheticgeometry_38606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8659, "image": "images/SyntheticGeometry/syntheticgeometry_29394.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8660, "image": "images/SyntheticGeometry/syntheticgeometry_26473noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8661, "image": "images/SyntheticGeometry/syntheticgeometry_10557.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8662, "image": "images/SyntheticGeometry/syntheticgeometry_45303noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8663, "image": "images/SyntheticGeometry/syntheticgeometry_19215.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8664, "image": "images/SyntheticGeometry/syntheticgeometry_46022noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AIS in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8665, "image": "images/SyntheticGeometry/syntheticgeometry_37872.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8666, "image": "images/SyntheticGeometry/syntheticgeometry_25781.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8667, "image": "images/SyntheticGeometry/syntheticgeometry_42470noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MOH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8668, "image": "images/SyntheticGeometry/syntheticgeometry_32481.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8669, "image": "images/SyntheticGeometry/syntheticgeometry_44719noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8670, "image": "images/SyntheticGeometry/syntheticgeometry_45760noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8671, "image": "images/SyntheticGeometry/syntheticgeometry_24708noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8672, "image": "images/SyntheticGeometry/syntheticgeometry_19646.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8673, "image": "images/SyntheticGeometry/syntheticgeometry_38989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8674, "image": "images/SyntheticGeometry/syntheticgeometry_43848noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8675, "image": "images/SyntheticGeometry/syntheticgeometry_49459noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8676, "image": "images/SyntheticGeometry/syntheticgeometry_27788noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8677, "image": "images/SyntheticGeometry/syntheticgeometry_11766.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8678, "image": "images/SyntheticGeometry/syntheticgeometry_46186.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8679, "image": "images/SyntheticGeometry/syntheticgeometry_46007.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8680, "image": "images/SyntheticGeometry/syntheticgeometry_34586noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8681, "image": "images/SyntheticGeometry/syntheticgeometry_21184.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8682, "image": "images/SyntheticGeometry/syntheticgeometry_46682noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8683, "image": "images/SyntheticGeometry/syntheticgeometry_09462noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8684, "image": "images/SyntheticGeometry/syntheticgeometry_24862.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ODA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8685, "image": "images/SyntheticGeometry/syntheticgeometry_36475.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8686, "image": "images/SyntheticGeometry/syntheticgeometry_22835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8687, "image": "images/SyntheticGeometry/syntheticgeometry_33196noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8688, "image": "images/SyntheticGeometry/syntheticgeometry_28748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8689, "image": "images/SyntheticGeometry/syntheticgeometry_15414noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8690, "image": "images/SyntheticGeometry/syntheticgeometry_36527noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8691, "image": "images/SyntheticGeometry/syntheticgeometry_23518noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8692, "image": "images/SyntheticGeometry/syntheticgeometry_26803.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8693, "image": "images/SyntheticGeometry/syntheticgeometry_24903noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8694, "image": "images/SyntheticGeometry/syntheticgeometry_13047noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8695, "image": "images/SyntheticGeometry/syntheticgeometry_41908.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8696, "image": "images/SyntheticGeometry/syntheticgeometry_19720noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8697, "image": "images/SyntheticGeometry/syntheticgeometry_11807noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8698, "image": "images/SyntheticGeometry/syntheticgeometry_32498.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8699, "image": "images/SyntheticGeometry/syntheticgeometry_07116.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8700, "image": "images/SyntheticGeometry/syntheticgeometry_35978.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8701, "image": "images/SyntheticGeometry/syntheticgeometry_13723noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8702, "image": "images/SyntheticGeometry/syntheticgeometry_43418noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8703, "image": "images/SyntheticGeometry/syntheticgeometry_47705noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8704, "image": "images/SyntheticGeometry/syntheticgeometry_40216noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8705, "image": "images/SyntheticGeometry/syntheticgeometry_37941noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8706, "image": "images/SyntheticGeometry/syntheticgeometry_46714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8707, "image": "images/SyntheticGeometry/syntheticgeometry_23446noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8708, "image": "images/SyntheticGeometry/syntheticgeometry_45815noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8709, "image": "images/SyntheticGeometry/syntheticgeometry_49293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8710, "image": "images/SyntheticGeometry/syntheticgeometry_33034.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8711, "image": "images/SyntheticGeometry/syntheticgeometry_41754noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8712, "image": "images/SyntheticGeometry/syntheticgeometry_23209noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8713, "image": "images/SyntheticGeometry/syntheticgeometry_20533noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GPM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8714, "image": "images/SyntheticGeometry/syntheticgeometry_38647noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8715, "image": "images/SyntheticGeometry/syntheticgeometry_10730noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8716, "image": "images/SyntheticGeometry/syntheticgeometry_08146noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8717, "image": "images/SyntheticGeometry/syntheticgeometry_40192.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8718, "image": "images/SyntheticGeometry/syntheticgeometry_25482noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8719, "image": "images/SyntheticGeometry/syntheticgeometry_07470noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8720, "image": "images/SyntheticGeometry/syntheticgeometry_23216.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8721, "image": "images/SyntheticGeometry/syntheticgeometry_46600noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GBK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8722, "image": "images/SyntheticGeometry/syntheticgeometry_26393noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8723, "image": "images/SyntheticGeometry/syntheticgeometry_06952.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8724, "image": "images/SyntheticGeometry/syntheticgeometry_26508.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8725, "image": "images/SyntheticGeometry/syntheticgeometry_46423.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8726, "image": "images/SyntheticGeometry/syntheticgeometry_24339noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8727, "image": "images/SyntheticGeometry/syntheticgeometry_31747noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8728, "image": "images/SyntheticGeometry/syntheticgeometry_43027noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8729, "image": "images/SyntheticGeometry/syntheticgeometry_34253.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8730, "image": "images/SyntheticGeometry/syntheticgeometry_48259noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8731, "image": "images/SyntheticGeometry/syntheticgeometry_23884noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8732, "image": "images/SyntheticGeometry/syntheticgeometry_16059.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8733, "image": "images/SyntheticGeometry/syntheticgeometry_10737noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8734, "image": "images/SyntheticGeometry/syntheticgeometry_04975noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8735, "image": "images/SyntheticGeometry/syntheticgeometry_28264.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8736, "image": "images/SyntheticGeometry/syntheticgeometry_38830noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8737, "image": "images/SyntheticGeometry/syntheticgeometry_27866noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8738, "image": "images/SyntheticGeometry/syntheticgeometry_29973noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8739, "image": "images/SyntheticGeometry/syntheticgeometry_08736noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8740, "image": "images/SyntheticGeometry/syntheticgeometry_18652noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8741, "image": "images/SyntheticGeometry/syntheticgeometry_23182noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8742, "image": "images/SyntheticGeometry/syntheticgeometry_36240.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8743, "image": "images/SyntheticGeometry/syntheticgeometry_04287noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8744, "image": "images/SyntheticGeometry/syntheticgeometry_32377noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8745, "image": "images/SyntheticGeometry/syntheticgeometry_46743.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8746, "image": "images/SyntheticGeometry/syntheticgeometry_10121noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8747, "image": "images/SyntheticGeometry/syntheticgeometry_10727noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8748, "image": "images/SyntheticGeometry/syntheticgeometry_35649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8749, "image": "images/SyntheticGeometry/syntheticgeometry_39043.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8750, "image": "images/SyntheticGeometry/syntheticgeometry_02754.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8751, "image": "images/SyntheticGeometry/syntheticgeometry_39451.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8752, "image": "images/SyntheticGeometry/syntheticgeometry_22364noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8753, "image": "images/SyntheticGeometry/syntheticgeometry_34840noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8754, "image": "images/SyntheticGeometry/syntheticgeometry_22024.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8755, "image": "images/SyntheticGeometry/syntheticgeometry_33067noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8756, "image": "images/SyntheticGeometry/syntheticgeometry_30838noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8757, "image": "images/SyntheticGeometry/syntheticgeometry_09968.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8758, "image": "images/SyntheticGeometry/syntheticgeometry_12137.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8759, "image": "images/SyntheticGeometry/syntheticgeometry_35704.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8760, "image": "images/SyntheticGeometry/syntheticgeometry_49131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8761, "image": "images/SyntheticGeometry/syntheticgeometry_06203.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8762, "image": "images/SyntheticGeometry/syntheticgeometry_34754noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8763, "image": "images/SyntheticGeometry/syntheticgeometry_45774noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8764, "image": "images/SyntheticGeometry/syntheticgeometry_26197noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8765, "image": "images/SyntheticGeometry/syntheticgeometry_44515.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8766, "image": "images/SyntheticGeometry/syntheticgeometry_33521noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8767, "image": "images/SyntheticGeometry/syntheticgeometry_39343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8768, "image": "images/SyntheticGeometry/syntheticgeometry_13186noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8769, "image": "images/SyntheticGeometry/syntheticgeometry_21291noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8770, "image": "images/SyntheticGeometry/syntheticgeometry_08136.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8771, "image": "images/SyntheticGeometry/syntheticgeometry_09120noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8772, "image": "images/SyntheticGeometry/syntheticgeometry_04291noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8773, "image": "images/SyntheticGeometry/syntheticgeometry_28814noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8774, "image": "images/SyntheticGeometry/syntheticgeometry_32975.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8775, "image": "images/SyntheticGeometry/syntheticgeometry_48176.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8776, "image": "images/SyntheticGeometry/syntheticgeometry_30701.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8777, "image": "images/SyntheticGeometry/syntheticgeometry_19785.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8778, "image": "images/SyntheticGeometry/syntheticgeometry_07973noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8779, "image": "images/SyntheticGeometry/syntheticgeometry_10053noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8780, "image": "images/SyntheticGeometry/syntheticgeometry_11036noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8781, "image": "images/SyntheticGeometry/syntheticgeometry_07544.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8782, "image": "images/SyntheticGeometry/syntheticgeometry_13799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8783, "image": "images/SyntheticGeometry/syntheticgeometry_28773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8784, "image": "images/SyntheticGeometry/syntheticgeometry_12969.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8785, "image": "images/SyntheticGeometry/syntheticgeometry_02322.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8786, "image": "images/SyntheticGeometry/syntheticgeometry_07176noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8787, "image": "images/SyntheticGeometry/syntheticgeometry_40887noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8788, "image": "images/SyntheticGeometry/syntheticgeometry_26747noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8789, "image": "images/SyntheticGeometry/syntheticgeometry_07217noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8790, "image": "images/SyntheticGeometry/syntheticgeometry_16908noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8791, "image": "images/SyntheticGeometry/syntheticgeometry_07161.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8792, "image": "images/SyntheticGeometry/syntheticgeometry_30493.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8793, "image": "images/SyntheticGeometry/syntheticgeometry_47138.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8794, "image": "images/SyntheticGeometry/syntheticgeometry_15928.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8795, "image": "images/SyntheticGeometry/syntheticgeometry_45493.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8796, "image": "images/SyntheticGeometry/syntheticgeometry_40369.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8797, "image": "images/SyntheticGeometry/syntheticgeometry_28720noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8798, "image": "images/SyntheticGeometry/syntheticgeometry_11069.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8799, "image": "images/SyntheticGeometry/syntheticgeometry_09827.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8800, "image": "images/SyntheticGeometry/syntheticgeometry_14993noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8801, "image": "images/SyntheticGeometry/syntheticgeometry_02028.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8802, "image": "images/SyntheticGeometry/syntheticgeometry_24679.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8803, "image": "images/SyntheticGeometry/syntheticgeometry_48625noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8804, "image": "images/SyntheticGeometry/syntheticgeometry_47830.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8805, "image": "images/SyntheticGeometry/syntheticgeometry_19404noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8806, "image": "images/SyntheticGeometry/syntheticgeometry_25998noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8807, "image": "images/SyntheticGeometry/syntheticgeometry_23248.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8808, "image": "images/SyntheticGeometry/syntheticgeometry_18103.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8809, "image": "images/SyntheticGeometry/syntheticgeometry_42913noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8810, "image": "images/SyntheticGeometry/syntheticgeometry_08994noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8811, "image": "images/SyntheticGeometry/syntheticgeometry_05857noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8812, "image": "images/SyntheticGeometry/syntheticgeometry_30016noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8813, "image": "images/SyntheticGeometry/syntheticgeometry_11093.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8814, "image": "images/SyntheticGeometry/syntheticgeometry_39983noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8815, "image": "images/SyntheticGeometry/syntheticgeometry_09962noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8816, "image": "images/SyntheticGeometry/syntheticgeometry_28913.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8817, "image": "images/SyntheticGeometry/syntheticgeometry_49739.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8818, "image": "images/SyntheticGeometry/syntheticgeometry_15323.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8819, "image": "images/SyntheticGeometry/syntheticgeometry_11892.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8820, "image": "images/SyntheticGeometry/syntheticgeometry_34070noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8821, "image": "images/SyntheticGeometry/syntheticgeometry_08080.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8822, "image": "images/SyntheticGeometry/syntheticgeometry_16518noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8823, "image": "images/SyntheticGeometry/syntheticgeometry_10341noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8824, "image": "images/SyntheticGeometry/syntheticgeometry_14748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8825, "image": "images/SyntheticGeometry/syntheticgeometry_38378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8826, "image": "images/SyntheticGeometry/syntheticgeometry_21462.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8827, "image": "images/SyntheticGeometry/syntheticgeometry_04350noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8828, "image": "images/SyntheticGeometry/syntheticgeometry_46842noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8829, "image": "images/SyntheticGeometry/syntheticgeometry_22469.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8830, "image": "images/SyntheticGeometry/syntheticgeometry_25787.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8831, "image": "images/SyntheticGeometry/syntheticgeometry_39543.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8832, "image": "images/SyntheticGeometry/syntheticgeometry_47556noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8833, "image": "images/SyntheticGeometry/syntheticgeometry_35433noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8834, "image": "images/SyntheticGeometry/syntheticgeometry_45741noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8835, "image": "images/SyntheticGeometry/syntheticgeometry_05028noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8836, "image": "images/SyntheticGeometry/syntheticgeometry_27435.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8837, "image": "images/SyntheticGeometry/syntheticgeometry_11317noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8838, "image": "images/SyntheticGeometry/syntheticgeometry_46136.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8839, "image": "images/SyntheticGeometry/syntheticgeometry_39382noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8840, "image": "images/SyntheticGeometry/syntheticgeometry_20465.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8841, "image": "images/SyntheticGeometry/syntheticgeometry_49861noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8842, "image": "images/SyntheticGeometry/syntheticgeometry_23411.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8843, "image": "images/SyntheticGeometry/syntheticgeometry_09881noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8844, "image": "images/SyntheticGeometry/syntheticgeometry_19087noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8845, "image": "images/SyntheticGeometry/syntheticgeometry_45290noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8846, "image": "images/SyntheticGeometry/syntheticgeometry_36525noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8847, "image": "images/SyntheticGeometry/syntheticgeometry_45714noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8848, "image": "images/SyntheticGeometry/syntheticgeometry_43973noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8849, "image": "images/SyntheticGeometry/syntheticgeometry_48563noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8850, "image": "images/SyntheticGeometry/syntheticgeometry_26782noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8851, "image": "images/SyntheticGeometry/syntheticgeometry_38347.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8852, "image": "images/SyntheticGeometry/syntheticgeometry_40932.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8853, "image": "images/SyntheticGeometry/syntheticgeometry_08471noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8854, "image": "images/SyntheticGeometry/syntheticgeometry_05620.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8855, "image": "images/SyntheticGeometry/syntheticgeometry_02473.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8856, "image": "images/SyntheticGeometry/syntheticgeometry_21537noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8857, "image": "images/SyntheticGeometry/syntheticgeometry_20187.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8858, "image": "images/SyntheticGeometry/syntheticgeometry_20937.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8859, "image": "images/SyntheticGeometry/syntheticgeometry_07335noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8860, "image": "images/SyntheticGeometry/syntheticgeometry_36879noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8861, "image": "images/SyntheticGeometry/syntheticgeometry_35034noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8862, "image": "images/SyntheticGeometry/syntheticgeometry_23535.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8863, "image": "images/SyntheticGeometry/syntheticgeometry_15787.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8864, "image": "images/SyntheticGeometry/syntheticgeometry_13753noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8865, "image": "images/SyntheticGeometry/syntheticgeometry_21070.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8866, "image": "images/SyntheticGeometry/syntheticgeometry_02403noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NMA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8867, "image": "images/SyntheticGeometry/syntheticgeometry_30886noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LMB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8868, "image": "images/SyntheticGeometry/syntheticgeometry_40708noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8869, "image": "images/SyntheticGeometry/syntheticgeometry_11951noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8870, "image": "images/SyntheticGeometry/syntheticgeometry_19334.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8871, "image": "images/SyntheticGeometry/syntheticgeometry_26374.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8872, "image": "images/SyntheticGeometry/syntheticgeometry_35323noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8873, "image": "images/SyntheticGeometry/syntheticgeometry_38701.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8874, "image": "images/SyntheticGeometry/syntheticgeometry_22284.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8875, "image": "images/SyntheticGeometry/syntheticgeometry_31934noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8876, "image": "images/SyntheticGeometry/syntheticgeometry_35886noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8877, "image": "images/SyntheticGeometry/syntheticgeometry_27174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8878, "image": "images/SyntheticGeometry/syntheticgeometry_37996noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8879, "image": "images/SyntheticGeometry/syntheticgeometry_16461.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8880, "image": "images/SyntheticGeometry/syntheticgeometry_33846.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8881, "image": "images/SyntheticGeometry/syntheticgeometry_19780noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8882, "image": "images/SyntheticGeometry/syntheticgeometry_20315.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8883, "image": "images/SyntheticGeometry/syntheticgeometry_08160noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8884, "image": "images/SyntheticGeometry/syntheticgeometry_09586.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8885, "image": "images/SyntheticGeometry/syntheticgeometry_14392.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8886, "image": "images/SyntheticGeometry/syntheticgeometry_35773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8887, "image": "images/SyntheticGeometry/syntheticgeometry_34429noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8888, "image": "images/SyntheticGeometry/syntheticgeometry_28231noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8889, "image": "images/SyntheticGeometry/syntheticgeometry_48643noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8890, "image": "images/SyntheticGeometry/syntheticgeometry_27841noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8891, "image": "images/SyntheticGeometry/syntheticgeometry_28881noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8892, "image": "images/SyntheticGeometry/syntheticgeometry_37652.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8893, "image": "images/SyntheticGeometry/syntheticgeometry_30041.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8894, "image": "images/SyntheticGeometry/syntheticgeometry_26475noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8895, "image": "images/SyntheticGeometry/syntheticgeometry_31190noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8896, "image": "images/SyntheticGeometry/syntheticgeometry_02035noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8897, "image": "images/SyntheticGeometry/syntheticgeometry_22576.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8898, "image": "images/SyntheticGeometry/syntheticgeometry_46099noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JLG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8899, "image": "images/SyntheticGeometry/syntheticgeometry_26723noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8900, "image": "images/SyntheticGeometry/syntheticgeometry_23132.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8901, "image": "images/SyntheticGeometry/syntheticgeometry_28256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8902, "image": "images/SyntheticGeometry/syntheticgeometry_38474noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8903, "image": "images/SyntheticGeometry/syntheticgeometry_22995noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8904, "image": "images/SyntheticGeometry/syntheticgeometry_34966noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8905, "image": "images/SyntheticGeometry/syntheticgeometry_27818.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8906, "image": "images/SyntheticGeometry/syntheticgeometry_45880.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8907, "image": "images/SyntheticGeometry/syntheticgeometry_04989noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8908, "image": "images/SyntheticGeometry/syntheticgeometry_14463noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8909, "image": "images/SyntheticGeometry/syntheticgeometry_41066noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8910, "image": "images/SyntheticGeometry/syntheticgeometry_33560noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8911, "image": "images/SyntheticGeometry/syntheticgeometry_03378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8912, "image": "images/SyntheticGeometry/syntheticgeometry_29831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8913, "image": "images/SyntheticGeometry/syntheticgeometry_23617noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8914, "image": "images/SyntheticGeometry/syntheticgeometry_14183.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8915, "image": "images/SyntheticGeometry/syntheticgeometry_09589noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8916, "image": "images/SyntheticGeometry/syntheticgeometry_27996noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8917, "image": "images/SyntheticGeometry/syntheticgeometry_49281noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8918, "image": "images/SyntheticGeometry/syntheticgeometry_36464noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8919, "image": "images/SyntheticGeometry/syntheticgeometry_29680noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8920, "image": "images/SyntheticGeometry/syntheticgeometry_03796.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8921, "image": "images/SyntheticGeometry/syntheticgeometry_37566noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8922, "image": "images/SyntheticGeometry/syntheticgeometry_39372.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8923, "image": "images/SyntheticGeometry/syntheticgeometry_46371.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8924, "image": "images/SyntheticGeometry/syntheticgeometry_08342noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8925, "image": "images/SyntheticGeometry/syntheticgeometry_37473.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8926, "image": "images/SyntheticGeometry/syntheticgeometry_06018noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8927, "image": "images/SyntheticGeometry/syntheticgeometry_12784.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8928, "image": "images/SyntheticGeometry/syntheticgeometry_16516noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8929, "image": "images/SyntheticGeometry/syntheticgeometry_05616.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8930, "image": "images/SyntheticGeometry/syntheticgeometry_16356.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8931, "image": "images/SyntheticGeometry/syntheticgeometry_06747noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8932, "image": "images/SyntheticGeometry/syntheticgeometry_18605noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8933, "image": "images/SyntheticGeometry/syntheticgeometry_15655.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8934, "image": "images/SyntheticGeometry/syntheticgeometry_15400noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8935, "image": "images/SyntheticGeometry/syntheticgeometry_19297.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8936, "image": "images/SyntheticGeometry/syntheticgeometry_31310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8937, "image": "images/SyntheticGeometry/syntheticgeometry_39992noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8938, "image": "images/SyntheticGeometry/syntheticgeometry_11005noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8939, "image": "images/SyntheticGeometry/syntheticgeometry_21415.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8940, "image": "images/SyntheticGeometry/syntheticgeometry_26514noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8941, "image": "images/SyntheticGeometry/syntheticgeometry_26410.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8942, "image": "images/SyntheticGeometry/syntheticgeometry_16358.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8943, "image": "images/SyntheticGeometry/syntheticgeometry_42014noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8944, "image": "images/SyntheticGeometry/syntheticgeometry_04895noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8945, "image": "images/SyntheticGeometry/syntheticgeometry_12454.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8946, "image": "images/SyntheticGeometry/syntheticgeometry_40119.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8947, "image": "images/SyntheticGeometry/syntheticgeometry_09277noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8948, "image": "images/SyntheticGeometry/syntheticgeometry_47668noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8949, "image": "images/SyntheticGeometry/syntheticgeometry_29298.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8950, "image": "images/SyntheticGeometry/syntheticgeometry_15008.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8951, "image": "images/SyntheticGeometry/syntheticgeometry_10828.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8952, "image": "images/SyntheticGeometry/syntheticgeometry_47927noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8953, "image": "images/SyntheticGeometry/syntheticgeometry_20488.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8954, "image": "images/SyntheticGeometry/syntheticgeometry_42882.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8955, "image": "images/SyntheticGeometry/syntheticgeometry_45942noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8956, "image": "images/SyntheticGeometry/syntheticgeometry_39505noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8957, "image": "images/SyntheticGeometry/syntheticgeometry_03213noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8958, "image": "images/SyntheticGeometry/syntheticgeometry_16400noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8959, "image": "images/SyntheticGeometry/syntheticgeometry_33885noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8960, "image": "images/SyntheticGeometry/syntheticgeometry_12941noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8961, "image": "images/SyntheticGeometry/syntheticgeometry_19384noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8962, "image": "images/SyntheticGeometry/syntheticgeometry_29158noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8963, "image": "images/SyntheticGeometry/syntheticgeometry_15254noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8964, "image": "images/SyntheticGeometry/syntheticgeometry_43994noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8965, "image": "images/SyntheticGeometry/syntheticgeometry_30718.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8966, "image": "images/SyntheticGeometry/syntheticgeometry_25548.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8967, "image": "images/SyntheticGeometry/syntheticgeometry_09224.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8968, "image": "images/SyntheticGeometry/syntheticgeometry_06459noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8969, "image": "images/SyntheticGeometry/syntheticgeometry_19902noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8970, "image": "images/SyntheticGeometry/syntheticgeometry_44714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8971, "image": "images/SyntheticGeometry/syntheticgeometry_19058noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8972, "image": "images/SyntheticGeometry/syntheticgeometry_06479noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8973, "image": "images/SyntheticGeometry/syntheticgeometry_29439.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8974, "image": "images/SyntheticGeometry/syntheticgeometry_20923.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8975, "image": "images/SyntheticGeometry/syntheticgeometry_17776.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8976, "image": "images/SyntheticGeometry/syntheticgeometry_07323.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8977, "image": "images/SyntheticGeometry/syntheticgeometry_40137noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8978, "image": "images/SyntheticGeometry/syntheticgeometry_14837.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8979, "image": "images/SyntheticGeometry/syntheticgeometry_31952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8980, "image": "images/SyntheticGeometry/syntheticgeometry_15948noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8981, "image": "images/SyntheticGeometry/syntheticgeometry_43020noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8982, "image": "images/SyntheticGeometry/syntheticgeometry_19820noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8983, "image": "images/SyntheticGeometry/syntheticgeometry_13134.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8984, "image": "images/SyntheticGeometry/syntheticgeometry_29284.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8985, "image": "images/SyntheticGeometry/syntheticgeometry_15319noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ELM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8986, "image": "images/SyntheticGeometry/syntheticgeometry_02321.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8987, "image": "images/SyntheticGeometry/syntheticgeometry_30467.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8988, "image": "images/SyntheticGeometry/syntheticgeometry_16744noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8989, "image": "images/SyntheticGeometry/syntheticgeometry_47064noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8990, "image": "images/SyntheticGeometry/syntheticgeometry_30576noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8991, "image": "images/SyntheticGeometry/syntheticgeometry_13484noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8992, "image": "images/SyntheticGeometry/syntheticgeometry_30098noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8993, "image": "images/SyntheticGeometry/syntheticgeometry_42925noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8994, "image": "images/SyntheticGeometry/syntheticgeometry_17038noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8995, "image": "images/SyntheticGeometry/syntheticgeometry_24497noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IPO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8996, "image": "images/SyntheticGeometry/syntheticgeometry_23728.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8997, "image": "images/SyntheticGeometry/syntheticgeometry_13663noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8998, "image": "images/SyntheticGeometry/syntheticgeometry_11798.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 8999, "image": "images/SyntheticGeometry/syntheticgeometry_10223noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9000, "image": "images/SyntheticGeometry/syntheticgeometry_22752.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9001, "image": "images/SyntheticGeometry/syntheticgeometry_02156.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9002, "image": "images/SyntheticGeometry/syntheticgeometry_27598noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9003, "image": "images/SyntheticGeometry/syntheticgeometry_43598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9004, "image": "images/SyntheticGeometry/syntheticgeometry_26851noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9005, "image": "images/SyntheticGeometry/syntheticgeometry_12001.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9006, "image": "images/SyntheticGeometry/syntheticgeometry_12727noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9007, "image": "images/SyntheticGeometry/syntheticgeometry_14716noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9008, "image": "images/SyntheticGeometry/syntheticgeometry_33544noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9009, "image": "images/SyntheticGeometry/syntheticgeometry_45856noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9010, "image": "images/SyntheticGeometry/syntheticgeometry_09864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9011, "image": "images/SyntheticGeometry/syntheticgeometry_48778noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9012, "image": "images/SyntheticGeometry/syntheticgeometry_24610noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9013, "image": "images/SyntheticGeometry/syntheticgeometry_02133noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9014, "image": "images/SyntheticGeometry/syntheticgeometry_23766noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9015, "image": "images/SyntheticGeometry/syntheticgeometry_26044noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9016, "image": "images/SyntheticGeometry/syntheticgeometry_41401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9017, "image": "images/SyntheticGeometry/syntheticgeometry_29076noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9018, "image": "images/SyntheticGeometry/syntheticgeometry_44720noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9019, "image": "images/SyntheticGeometry/syntheticgeometry_38846noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9020, "image": "images/SyntheticGeometry/syntheticgeometry_36773.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9021, "image": "images/SyntheticGeometry/syntheticgeometry_37349.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9022, "image": "images/SyntheticGeometry/syntheticgeometry_39388.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9023, "image": "images/SyntheticGeometry/syntheticgeometry_13185noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9024, "image": "images/SyntheticGeometry/syntheticgeometry_07445noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9025, "image": "images/SyntheticGeometry/syntheticgeometry_03131.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9026, "image": "images/SyntheticGeometry/syntheticgeometry_42691noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9027, "image": "images/SyntheticGeometry/syntheticgeometry_29688noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9028, "image": "images/SyntheticGeometry/syntheticgeometry_43809noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9029, "image": "images/SyntheticGeometry/syntheticgeometry_28016.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9030, "image": "images/SyntheticGeometry/syntheticgeometry_38599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9031, "image": "images/SyntheticGeometry/syntheticgeometry_48918.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9032, "image": "images/SyntheticGeometry/syntheticgeometry_19482noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9033, "image": "images/SyntheticGeometry/syntheticgeometry_04214noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9034, "image": "images/SyntheticGeometry/syntheticgeometry_24810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9035, "image": "images/SyntheticGeometry/syntheticgeometry_06931noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9036, "image": "images/SyntheticGeometry/syntheticgeometry_20467noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9037, "image": "images/SyntheticGeometry/syntheticgeometry_25226noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle RBQ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9038, "image": "images/SyntheticGeometry/syntheticgeometry_33973noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9039, "image": "images/SyntheticGeometry/syntheticgeometry_35294.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9040, "image": "images/SyntheticGeometry/syntheticgeometry_42637noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9041, "image": "images/SyntheticGeometry/syntheticgeometry_13709noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9042, "image": "images/SyntheticGeometry/syntheticgeometry_08100.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9043, "image": "images/SyntheticGeometry/syntheticgeometry_26001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9044, "image": "images/SyntheticGeometry/syntheticgeometry_16683noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9045, "image": "images/SyntheticGeometry/syntheticgeometry_08678noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9046, "image": "images/SyntheticGeometry/syntheticgeometry_16351.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9047, "image": "images/SyntheticGeometry/syntheticgeometry_27090noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9048, "image": "images/SyntheticGeometry/syntheticgeometry_23201noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9049, "image": "images/SyntheticGeometry/syntheticgeometry_35747.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9050, "image": "images/SyntheticGeometry/syntheticgeometry_03039noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9051, "image": "images/SyntheticGeometry/syntheticgeometry_48916noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MLD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9052, "image": "images/SyntheticGeometry/syntheticgeometry_28955.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9053, "image": "images/SyntheticGeometry/syntheticgeometry_34694.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9054, "image": "images/SyntheticGeometry/syntheticgeometry_02745.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9055, "image": "images/SyntheticGeometry/syntheticgeometry_09999noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9056, "image": "images/SyntheticGeometry/syntheticgeometry_31898noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9057, "image": "images/SyntheticGeometry/syntheticgeometry_02985noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9058, "image": "images/SyntheticGeometry/syntheticgeometry_29933noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9059, "image": "images/SyntheticGeometry/syntheticgeometry_07202noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9060, "image": "images/SyntheticGeometry/syntheticgeometry_03363noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9061, "image": "images/SyntheticGeometry/syntheticgeometry_07594noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9062, "image": "images/SyntheticGeometry/syntheticgeometry_22201noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9063, "image": "images/SyntheticGeometry/syntheticgeometry_09443.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9064, "image": "images/SyntheticGeometry/syntheticgeometry_48750noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9065, "image": "images/SyntheticGeometry/syntheticgeometry_22939noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9066, "image": "images/SyntheticGeometry/syntheticgeometry_23391noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9067, "image": "images/SyntheticGeometry/syntheticgeometry_02949noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9068, "image": "images/SyntheticGeometry/syntheticgeometry_20285.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9069, "image": "images/SyntheticGeometry/syntheticgeometry_29542noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9070, "image": "images/SyntheticGeometry/syntheticgeometry_24385noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9071, "image": "images/SyntheticGeometry/syntheticgeometry_08246.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9072, "image": "images/SyntheticGeometry/syntheticgeometry_36404noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9073, "image": "images/SyntheticGeometry/syntheticgeometry_08255noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9074, "image": "images/SyntheticGeometry/syntheticgeometry_09647noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9075, "image": "images/SyntheticGeometry/syntheticgeometry_28378.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9076, "image": "images/SyntheticGeometry/syntheticgeometry_39608.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9077, "image": "images/SyntheticGeometry/syntheticgeometry_44293.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9078, "image": "images/SyntheticGeometry/syntheticgeometry_34374noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9079, "image": "images/SyntheticGeometry/syntheticgeometry_26293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9080, "image": "images/SyntheticGeometry/syntheticgeometry_46407noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9081, "image": "images/SyntheticGeometry/syntheticgeometry_41225.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9082, "image": "images/SyntheticGeometry/syntheticgeometry_25115noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9083, "image": "images/SyntheticGeometry/syntheticgeometry_49898noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9084, "image": "images/SyntheticGeometry/syntheticgeometry_12280noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9085, "image": "images/SyntheticGeometry/syntheticgeometry_11999noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9086, "image": "images/SyntheticGeometry/syntheticgeometry_36692.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9087, "image": "images/SyntheticGeometry/syntheticgeometry_21341noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9088, "image": "images/SyntheticGeometry/syntheticgeometry_13780.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9089, "image": "images/SyntheticGeometry/syntheticgeometry_48380noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9090, "image": "images/SyntheticGeometry/syntheticgeometry_10443noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9091, "image": "images/SyntheticGeometry/syntheticgeometry_09209noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9092, "image": "images/SyntheticGeometry/syntheticgeometry_43041.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9093, "image": "images/SyntheticGeometry/syntheticgeometry_04837.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9094, "image": "images/SyntheticGeometry/syntheticgeometry_04803noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AID in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9095, "image": "images/SyntheticGeometry/syntheticgeometry_48569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9096, "image": "images/SyntheticGeometry/syntheticgeometry_11168noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9097, "image": "images/SyntheticGeometry/syntheticgeometry_26216noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9098, "image": "images/SyntheticGeometry/syntheticgeometry_29411noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9099, "image": "images/SyntheticGeometry/syntheticgeometry_06002.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9100, "image": "images/SyntheticGeometry/syntheticgeometry_24320noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9101, "image": "images/SyntheticGeometry/syntheticgeometry_11852.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9102, "image": "images/SyntheticGeometry/syntheticgeometry_27796noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9103, "image": "images/SyntheticGeometry/syntheticgeometry_40418noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9104, "image": "images/SyntheticGeometry/syntheticgeometry_18513.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9105, "image": "images/SyntheticGeometry/syntheticgeometry_04731noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9106, "image": "images/SyntheticGeometry/syntheticgeometry_23869noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9107, "image": "images/SyntheticGeometry/syntheticgeometry_44603noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9108, "image": "images/SyntheticGeometry/syntheticgeometry_38212noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9109, "image": "images/SyntheticGeometry/syntheticgeometry_46077noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HED in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9110, "image": "images/SyntheticGeometry/syntheticgeometry_32598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9111, "image": "images/SyntheticGeometry/syntheticgeometry_42357noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9112, "image": "images/SyntheticGeometry/syntheticgeometry_44582noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9113, "image": "images/SyntheticGeometry/syntheticgeometry_41288.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9114, "image": "images/SyntheticGeometry/syntheticgeometry_31252noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9115, "image": "images/SyntheticGeometry/syntheticgeometry_19478.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9116, "image": "images/SyntheticGeometry/syntheticgeometry_48686noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9117, "image": "images/SyntheticGeometry/syntheticgeometry_23628noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9118, "image": "images/SyntheticGeometry/syntheticgeometry_43067.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9119, "image": "images/SyntheticGeometry/syntheticgeometry_16782noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9120, "image": "images/SyntheticGeometry/syntheticgeometry_34093noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9121, "image": "images/SyntheticGeometry/syntheticgeometry_03500.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9122, "image": "images/SyntheticGeometry/syntheticgeometry_11772noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9123, "image": "images/SyntheticGeometry/syntheticgeometry_15293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9124, "image": "images/SyntheticGeometry/syntheticgeometry_45247noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9125, "image": "images/SyntheticGeometry/syntheticgeometry_09358noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9126, "image": "images/SyntheticGeometry/syntheticgeometry_26130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9127, "image": "images/SyntheticGeometry/syntheticgeometry_33085noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FBM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9128, "image": "images/SyntheticGeometry/syntheticgeometry_22464.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9129, "image": "images/SyntheticGeometry/syntheticgeometry_48861.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9130, "image": "images/SyntheticGeometry/syntheticgeometry_42700noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9131, "image": "images/SyntheticGeometry/syntheticgeometry_10030noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9132, "image": "images/SyntheticGeometry/syntheticgeometry_11001.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9133, "image": "images/SyntheticGeometry/syntheticgeometry_21952noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9134, "image": "images/SyntheticGeometry/syntheticgeometry_14178noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9135, "image": "images/SyntheticGeometry/syntheticgeometry_08936noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9136, "image": "images/SyntheticGeometry/syntheticgeometry_30360noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HIF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9137, "image": "images/SyntheticGeometry/syntheticgeometry_34108.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9138, "image": "images/SyntheticGeometry/syntheticgeometry_38282noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9139, "image": "images/SyntheticGeometry/syntheticgeometry_29546noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9140, "image": "images/SyntheticGeometry/syntheticgeometry_11669.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9141, "image": "images/SyntheticGeometry/syntheticgeometry_22480noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9142, "image": "images/SyntheticGeometry/syntheticgeometry_46131noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9143, "image": "images/SyntheticGeometry/syntheticgeometry_24651noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9144, "image": "images/SyntheticGeometry/syntheticgeometry_12624noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9145, "image": "images/SyntheticGeometry/syntheticgeometry_23849noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9146, "image": "images/SyntheticGeometry/syntheticgeometry_24606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9147, "image": "images/SyntheticGeometry/syntheticgeometry_39678noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9148, "image": "images/SyntheticGeometry/syntheticgeometry_26194noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9149, "image": "images/SyntheticGeometry/syntheticgeometry_35391noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9150, "image": "images/SyntheticGeometry/syntheticgeometry_05872.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9151, "image": "images/SyntheticGeometry/syntheticgeometry_19735noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9152, "image": "images/SyntheticGeometry/syntheticgeometry_25875noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9153, "image": "images/SyntheticGeometry/syntheticgeometry_49672noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9154, "image": "images/SyntheticGeometry/syntheticgeometry_21816noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9155, "image": "images/SyntheticGeometry/syntheticgeometry_48708.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9156, "image": "images/SyntheticGeometry/syntheticgeometry_23238.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9157, "image": "images/SyntheticGeometry/syntheticgeometry_26285noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9158, "image": "images/SyntheticGeometry/syntheticgeometry_36551noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9159, "image": "images/SyntheticGeometry/syntheticgeometry_08698noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9160, "image": "images/SyntheticGeometry/syntheticgeometry_48267.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9161, "image": "images/SyntheticGeometry/syntheticgeometry_42473noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9162, "image": "images/SyntheticGeometry/syntheticgeometry_21477noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9163, "image": "images/SyntheticGeometry/syntheticgeometry_41585noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9164, "image": "images/SyntheticGeometry/syntheticgeometry_42398noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9165, "image": "images/SyntheticGeometry/syntheticgeometry_24955noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9166, "image": "images/SyntheticGeometry/syntheticgeometry_17129.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9167, "image": "images/SyntheticGeometry/syntheticgeometry_47078.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9168, "image": "images/SyntheticGeometry/syntheticgeometry_16241.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9169, "image": "images/SyntheticGeometry/syntheticgeometry_22982noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9170, "image": "images/SyntheticGeometry/syntheticgeometry_18225.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9171, "image": "images/SyntheticGeometry/syntheticgeometry_10591.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9172, "image": "images/SyntheticGeometry/syntheticgeometry_48001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9173, "image": "images/SyntheticGeometry/syntheticgeometry_10110.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9174, "image": "images/SyntheticGeometry/syntheticgeometry_17055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9175, "image": "images/SyntheticGeometry/syntheticgeometry_43986.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9176, "image": "images/SyntheticGeometry/syntheticgeometry_13909.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9177, "image": "images/SyntheticGeometry/syntheticgeometry_26549noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9178, "image": "images/SyntheticGeometry/syntheticgeometry_02090.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9179, "image": "images/SyntheticGeometry/syntheticgeometry_16479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9180, "image": "images/SyntheticGeometry/syntheticgeometry_31501noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9181, "image": "images/SyntheticGeometry/syntheticgeometry_33712.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9182, "image": "images/SyntheticGeometry/syntheticgeometry_25375.png", "conversations": [{"from": "human", "value": "\nThere is a triangle KEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9183, "image": "images/SyntheticGeometry/syntheticgeometry_43253.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9184, "image": "images/SyntheticGeometry/syntheticgeometry_28488noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9185, "image": "images/SyntheticGeometry/syntheticgeometry_13256noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9186, "image": "images/SyntheticGeometry/syntheticgeometry_44664.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9187, "image": "images/SyntheticGeometry/syntheticgeometry_20839.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9188, "image": "images/SyntheticGeometry/syntheticgeometry_25120.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9189, "image": "images/SyntheticGeometry/syntheticgeometry_25894.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9190, "image": "images/SyntheticGeometry/syntheticgeometry_49683noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9191, "image": "images/SyntheticGeometry/syntheticgeometry_25808noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9192, "image": "images/SyntheticGeometry/syntheticgeometry_11968.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9193, "image": "images/SyntheticGeometry/syntheticgeometry_39122noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9194, "image": "images/SyntheticGeometry/syntheticgeometry_39231noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9195, "image": "images/SyntheticGeometry/syntheticgeometry_29354noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9196, "image": "images/SyntheticGeometry/syntheticgeometry_37198noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9197, "image": "images/SyntheticGeometry/syntheticgeometry_12943.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9198, "image": "images/SyntheticGeometry/syntheticgeometry_24600.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9199, "image": "images/SyntheticGeometry/syntheticgeometry_49271noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HAN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9200, "image": "images/SyntheticGeometry/syntheticgeometry_35774noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9201, "image": "images/SyntheticGeometry/syntheticgeometry_04059noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9202, "image": "images/SyntheticGeometry/syntheticgeometry_40519noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9203, "image": "images/SyntheticGeometry/syntheticgeometry_06145.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9204, "image": "images/SyntheticGeometry/syntheticgeometry_17599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9205, "image": "images/SyntheticGeometry/syntheticgeometry_29946noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9206, "image": "images/SyntheticGeometry/syntheticgeometry_35013noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9207, "image": "images/SyntheticGeometry/syntheticgeometry_17563noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9208, "image": "images/SyntheticGeometry/syntheticgeometry_40994noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9209, "image": "images/SyntheticGeometry/syntheticgeometry_48010noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9210, "image": "images/SyntheticGeometry/syntheticgeometry_36207noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9211, "image": "images/SyntheticGeometry/syntheticgeometry_25135.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9212, "image": "images/SyntheticGeometry/syntheticgeometry_09484.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9213, "image": "images/SyntheticGeometry/syntheticgeometry_41021noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9214, "image": "images/SyntheticGeometry/syntheticgeometry_31593.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9215, "image": "images/SyntheticGeometry/syntheticgeometry_41553noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9216, "image": "images/SyntheticGeometry/syntheticgeometry_18700noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9217, "image": "images/SyntheticGeometry/syntheticgeometry_48565noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9218, "image": "images/SyntheticGeometry/syntheticgeometry_07725noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9219, "image": "images/SyntheticGeometry/syntheticgeometry_22209noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9220, "image": "images/SyntheticGeometry/syntheticgeometry_31193noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9221, "image": "images/SyntheticGeometry/syntheticgeometry_09748noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9222, "image": "images/SyntheticGeometry/syntheticgeometry_21777noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9223, "image": "images/SyntheticGeometry/syntheticgeometry_43522.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9224, "image": "images/SyntheticGeometry/syntheticgeometry_21376noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DLC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9225, "image": "images/SyntheticGeometry/syntheticgeometry_39008.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9226, "image": "images/SyntheticGeometry/syntheticgeometry_29575.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9227, "image": "images/SyntheticGeometry/syntheticgeometry_03000noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9228, "image": "images/SyntheticGeometry/syntheticgeometry_32628.png", "conversations": [{"from": "human", "value": "\nThere is a triangle LBD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9229, "image": "images/SyntheticGeometry/syntheticgeometry_34915.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9230, "image": "images/SyntheticGeometry/syntheticgeometry_41153noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9231, "image": "images/SyntheticGeometry/syntheticgeometry_06984noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9232, "image": "images/SyntheticGeometry/syntheticgeometry_22633.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9233, "image": "images/SyntheticGeometry/syntheticgeometry_46911.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9234, "image": "images/SyntheticGeometry/syntheticgeometry_08303noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9235, "image": "images/SyntheticGeometry/syntheticgeometry_12773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9236, "image": "images/SyntheticGeometry/syntheticgeometry_37657noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9237, "image": "images/SyntheticGeometry/syntheticgeometry_13395.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9238, "image": "images/SyntheticGeometry/syntheticgeometry_10108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9239, "image": "images/SyntheticGeometry/syntheticgeometry_26249noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9240, "image": "images/SyntheticGeometry/syntheticgeometry_24280.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9241, "image": "images/SyntheticGeometry/syntheticgeometry_39020noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9242, "image": "images/SyntheticGeometry/syntheticgeometry_37782.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9243, "image": "images/SyntheticGeometry/syntheticgeometry_16503.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9244, "image": "images/SyntheticGeometry/syntheticgeometry_40319.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9245, "image": "images/SyntheticGeometry/syntheticgeometry_42568.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9246, "image": "images/SyntheticGeometry/syntheticgeometry_27440.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9247, "image": "images/SyntheticGeometry/syntheticgeometry_42774.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9248, "image": "images/SyntheticGeometry/syntheticgeometry_42849noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9249, "image": "images/SyntheticGeometry/syntheticgeometry_32048noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9250, "image": "images/SyntheticGeometry/syntheticgeometry_46339.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9251, "image": "images/SyntheticGeometry/syntheticgeometry_18582.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9252, "image": "images/SyntheticGeometry/syntheticgeometry_45628.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9253, "image": "images/SyntheticGeometry/syntheticgeometry_23404noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9254, "image": "images/SyntheticGeometry/syntheticgeometry_02705noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9255, "image": "images/SyntheticGeometry/syntheticgeometry_43976noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9256, "image": "images/SyntheticGeometry/syntheticgeometry_13372.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9257, "image": "images/SyntheticGeometry/syntheticgeometry_22500noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9258, "image": "images/SyntheticGeometry/syntheticgeometry_41488.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9259, "image": "images/SyntheticGeometry/syntheticgeometry_26217noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9260, "image": "images/SyntheticGeometry/syntheticgeometry_15703noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9261, "image": "images/SyntheticGeometry/syntheticgeometry_05866noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9262, "image": "images/SyntheticGeometry/syntheticgeometry_06809noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9263, "image": "images/SyntheticGeometry/syntheticgeometry_40975.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9264, "image": "images/SyntheticGeometry/syntheticgeometry_42365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9265, "image": "images/SyntheticGeometry/syntheticgeometry_08756noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9266, "image": "images/SyntheticGeometry/syntheticgeometry_33275.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9267, "image": "images/SyntheticGeometry/syntheticgeometry_32260.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9268, "image": "images/SyntheticGeometry/syntheticgeometry_45701noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9269, "image": "images/SyntheticGeometry/syntheticgeometry_40453.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9270, "image": "images/SyntheticGeometry/syntheticgeometry_49662noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9271, "image": "images/SyntheticGeometry/syntheticgeometry_30309noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9272, "image": "images/SyntheticGeometry/syntheticgeometry_04149noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9273, "image": "images/SyntheticGeometry/syntheticgeometry_45152noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9274, "image": "images/SyntheticGeometry/syntheticgeometry_18193noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9275, "image": "images/SyntheticGeometry/syntheticgeometry_26952.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9276, "image": "images/SyntheticGeometry/syntheticgeometry_25092noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9277, "image": "images/SyntheticGeometry/syntheticgeometry_22223noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9278, "image": "images/SyntheticGeometry/syntheticgeometry_37335.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9279, "image": "images/SyntheticGeometry/syntheticgeometry_06317noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9280, "image": "images/SyntheticGeometry/syntheticgeometry_42446.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9281, "image": "images/SyntheticGeometry/syntheticgeometry_17212.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9282, "image": "images/SyntheticGeometry/syntheticgeometry_12000.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9283, "image": "images/SyntheticGeometry/syntheticgeometry_08226noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9284, "image": "images/SyntheticGeometry/syntheticgeometry_46980.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9285, "image": "images/SyntheticGeometry/syntheticgeometry_32345noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9286, "image": "images/SyntheticGeometry/syntheticgeometry_46709.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9287, "image": "images/SyntheticGeometry/syntheticgeometry_31042noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9288, "image": "images/SyntheticGeometry/syntheticgeometry_35389noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9289, "image": "images/SyntheticGeometry/syntheticgeometry_02247.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9290, "image": "images/SyntheticGeometry/syntheticgeometry_16321noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9291, "image": "images/SyntheticGeometry/syntheticgeometry_45248noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9292, "image": "images/SyntheticGeometry/syntheticgeometry_22832noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9293, "image": "images/SyntheticGeometry/syntheticgeometry_32282.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9294, "image": "images/SyntheticGeometry/syntheticgeometry_31590.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9295, "image": "images/SyntheticGeometry/syntheticgeometry_38632noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9296, "image": "images/SyntheticGeometry/syntheticgeometry_14988.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9297, "image": "images/SyntheticGeometry/syntheticgeometry_33891noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9298, "image": "images/SyntheticGeometry/syntheticgeometry_32401noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9299, "image": "images/SyntheticGeometry/syntheticgeometry_34444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9300, "image": "images/SyntheticGeometry/syntheticgeometry_42063.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9301, "image": "images/SyntheticGeometry/syntheticgeometry_08621.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9302, "image": "images/SyntheticGeometry/syntheticgeometry_05519noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KLE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9303, "image": "images/SyntheticGeometry/syntheticgeometry_22755noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9304, "image": "images/SyntheticGeometry/syntheticgeometry_17277.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9305, "image": "images/SyntheticGeometry/syntheticgeometry_16186noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GKJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9306, "image": "images/SyntheticGeometry/syntheticgeometry_32431noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9307, "image": "images/SyntheticGeometry/syntheticgeometry_03018.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9308, "image": "images/SyntheticGeometry/syntheticgeometry_03421.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9309, "image": "images/SyntheticGeometry/syntheticgeometry_22715noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9310, "image": "images/SyntheticGeometry/syntheticgeometry_34783noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9311, "image": "images/SyntheticGeometry/syntheticgeometry_17017.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9312, "image": "images/SyntheticGeometry/syntheticgeometry_12495.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9313, "image": "images/SyntheticGeometry/syntheticgeometry_10775noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9314, "image": "images/SyntheticGeometry/syntheticgeometry_10941noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9315, "image": "images/SyntheticGeometry/syntheticgeometry_25594.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9316, "image": "images/SyntheticGeometry/syntheticgeometry_05395noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9317, "image": "images/SyntheticGeometry/syntheticgeometry_35644noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9318, "image": "images/SyntheticGeometry/syntheticgeometry_02217.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9319, "image": "images/SyntheticGeometry/syntheticgeometry_03560noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9320, "image": "images/SyntheticGeometry/syntheticgeometry_04174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9321, "image": "images/SyntheticGeometry/syntheticgeometry_26081.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9322, "image": "images/SyntheticGeometry/syntheticgeometry_43231noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9323, "image": "images/SyntheticGeometry/syntheticgeometry_28270.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9324, "image": "images/SyntheticGeometry/syntheticgeometry_21300noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9325, "image": "images/SyntheticGeometry/syntheticgeometry_07965noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9326, "image": "images/SyntheticGeometry/syntheticgeometry_06439noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9327, "image": "images/SyntheticGeometry/syntheticgeometry_02541.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9328, "image": "images/SyntheticGeometry/syntheticgeometry_34679.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9329, "image": "images/SyntheticGeometry/syntheticgeometry_04028.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9330, "image": "images/SyntheticGeometry/syntheticgeometry_06181noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9331, "image": "images/SyntheticGeometry/syntheticgeometry_17351.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9332, "image": "images/SyntheticGeometry/syntheticgeometry_17992.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9333, "image": "images/SyntheticGeometry/syntheticgeometry_37064noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9334, "image": "images/SyntheticGeometry/syntheticgeometry_20384noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HDL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9335, "image": "images/SyntheticGeometry/syntheticgeometry_04676noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9336, "image": "images/SyntheticGeometry/syntheticgeometry_12564noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9337, "image": "images/SyntheticGeometry/syntheticgeometry_30343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9338, "image": "images/SyntheticGeometry/syntheticgeometry_26463noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9339, "image": "images/SyntheticGeometry/syntheticgeometry_16476.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9340, "image": "images/SyntheticGeometry/syntheticgeometry_28668.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9341, "image": "images/SyntheticGeometry/syntheticgeometry_38804noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9342, "image": "images/SyntheticGeometry/syntheticgeometry_28672noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9343, "image": "images/SyntheticGeometry/syntheticgeometry_40884.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9344, "image": "images/SyntheticGeometry/syntheticgeometry_10130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9345, "image": "images/SyntheticGeometry/syntheticgeometry_41248.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9346, "image": "images/SyntheticGeometry/syntheticgeometry_16655noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9347, "image": "images/SyntheticGeometry/syntheticgeometry_23789noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9348, "image": "images/SyntheticGeometry/syntheticgeometry_25236noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9349, "image": "images/SyntheticGeometry/syntheticgeometry_12907noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IGK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9350, "image": "images/SyntheticGeometry/syntheticgeometry_13452.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9351, "image": "images/SyntheticGeometry/syntheticgeometry_26914noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9352, "image": "images/SyntheticGeometry/syntheticgeometry_35272noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9353, "image": "images/SyntheticGeometry/syntheticgeometry_19831noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9354, "image": "images/SyntheticGeometry/syntheticgeometry_38857.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9355, "image": "images/SyntheticGeometry/syntheticgeometry_34651noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9356, "image": "images/SyntheticGeometry/syntheticgeometry_35591.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JQK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9357, "image": "images/SyntheticGeometry/syntheticgeometry_11159.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9358, "image": "images/SyntheticGeometry/syntheticgeometry_27554noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9359, "image": "images/SyntheticGeometry/syntheticgeometry_36744.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9360, "image": "images/SyntheticGeometry/syntheticgeometry_20103noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9361, "image": "images/SyntheticGeometry/syntheticgeometry_20082.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9362, "image": "images/SyntheticGeometry/syntheticgeometry_30616noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9363, "image": "images/SyntheticGeometry/syntheticgeometry_21722.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9364, "image": "images/SyntheticGeometry/syntheticgeometry_40343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9365, "image": "images/SyntheticGeometry/syntheticgeometry_11605noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9366, "image": "images/SyntheticGeometry/syntheticgeometry_32227.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9367, "image": "images/SyntheticGeometry/syntheticgeometry_27806noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9368, "image": "images/SyntheticGeometry/syntheticgeometry_49798noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9369, "image": "images/SyntheticGeometry/syntheticgeometry_27331noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9370, "image": "images/SyntheticGeometry/syntheticgeometry_25674.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9371, "image": "images/SyntheticGeometry/syntheticgeometry_26396noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9372, "image": "images/SyntheticGeometry/syntheticgeometry_49899.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9373, "image": "images/SyntheticGeometry/syntheticgeometry_49606.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9374, "image": "images/SyntheticGeometry/syntheticgeometry_08557noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9375, "image": "images/SyntheticGeometry/syntheticgeometry_17719.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9376, "image": "images/SyntheticGeometry/syntheticgeometry_26873noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9377, "image": "images/SyntheticGeometry/syntheticgeometry_33571noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9378, "image": "images/SyntheticGeometry/syntheticgeometry_18079noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9379, "image": "images/SyntheticGeometry/syntheticgeometry_21034noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9380, "image": "images/SyntheticGeometry/syntheticgeometry_10261.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9381, "image": "images/SyntheticGeometry/syntheticgeometry_44140noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9382, "image": "images/SyntheticGeometry/syntheticgeometry_30043noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9383, "image": "images/SyntheticGeometry/syntheticgeometry_06864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9384, "image": "images/SyntheticGeometry/syntheticgeometry_03858noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9385, "image": "images/SyntheticGeometry/syntheticgeometry_22315noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9386, "image": "images/SyntheticGeometry/syntheticgeometry_03777noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FLH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9387, "image": "images/SyntheticGeometry/syntheticgeometry_21043noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9388, "image": "images/SyntheticGeometry/syntheticgeometry_06192noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9389, "image": "images/SyntheticGeometry/syntheticgeometry_32949noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9390, "image": "images/SyntheticGeometry/syntheticgeometry_40444noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9391, "image": "images/SyntheticGeometry/syntheticgeometry_21343noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9392, "image": "images/SyntheticGeometry/syntheticgeometry_41854noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9393, "image": "images/SyntheticGeometry/syntheticgeometry_42591.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9394, "image": "images/SyntheticGeometry/syntheticgeometry_18860noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HJC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9395, "image": "images/SyntheticGeometry/syntheticgeometry_06771.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9396, "image": "images/SyntheticGeometry/syntheticgeometry_06563noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9397, "image": "images/SyntheticGeometry/syntheticgeometry_25490noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9398, "image": "images/SyntheticGeometry/syntheticgeometry_42031noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LJK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9399, "image": "images/SyntheticGeometry/syntheticgeometry_37458.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9400, "image": "images/SyntheticGeometry/syntheticgeometry_33294noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9401, "image": "images/SyntheticGeometry/syntheticgeometry_12247.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ICG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9402, "image": "images/SyntheticGeometry/syntheticgeometry_20561noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9403, "image": "images/SyntheticGeometry/syntheticgeometry_21553noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9404, "image": "images/SyntheticGeometry/syntheticgeometry_26911noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9405, "image": "images/SyntheticGeometry/syntheticgeometry_25202noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9406, "image": "images/SyntheticGeometry/syntheticgeometry_30125noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9407, "image": "images/SyntheticGeometry/syntheticgeometry_14375noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9408, "image": "images/SyntheticGeometry/syntheticgeometry_20454noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9409, "image": "images/SyntheticGeometry/syntheticgeometry_39882noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9410, "image": "images/SyntheticGeometry/syntheticgeometry_48180noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9411, "image": "images/SyntheticGeometry/syntheticgeometry_41164.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9412, "image": "images/SyntheticGeometry/syntheticgeometry_16174noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9413, "image": "images/SyntheticGeometry/syntheticgeometry_42449.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9414, "image": "images/SyntheticGeometry/syntheticgeometry_21489noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9415, "image": "images/SyntheticGeometry/syntheticgeometry_23784noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9416, "image": "images/SyntheticGeometry/syntheticgeometry_49939noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9417, "image": "images/SyntheticGeometry/syntheticgeometry_24584noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9418, "image": "images/SyntheticGeometry/syntheticgeometry_27366noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9419, "image": "images/SyntheticGeometry/syntheticgeometry_41885noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9420, "image": "images/SyntheticGeometry/syntheticgeometry_28486.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9421, "image": "images/SyntheticGeometry/syntheticgeometry_29410noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9422, "image": "images/SyntheticGeometry/syntheticgeometry_15959noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9423, "image": "images/SyntheticGeometry/syntheticgeometry_09491noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9424, "image": "images/SyntheticGeometry/syntheticgeometry_46692noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9425, "image": "images/SyntheticGeometry/syntheticgeometry_26224noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9426, "image": "images/SyntheticGeometry/syntheticgeometry_44235.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9427, "image": "images/SyntheticGeometry/syntheticgeometry_31160noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9428, "image": "images/SyntheticGeometry/syntheticgeometry_34494.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9429, "image": "images/SyntheticGeometry/syntheticgeometry_08799noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9430, "image": "images/SyntheticGeometry/syntheticgeometry_08207noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9431, "image": "images/SyntheticGeometry/syntheticgeometry_16382noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9432, "image": "images/SyntheticGeometry/syntheticgeometry_27692.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9433, "image": "images/SyntheticGeometry/syntheticgeometry_06225noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9434, "image": "images/SyntheticGeometry/syntheticgeometry_27846.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9435, "image": "images/SyntheticGeometry/syntheticgeometry_31862noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9436, "image": "images/SyntheticGeometry/syntheticgeometry_19033noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9437, "image": "images/SyntheticGeometry/syntheticgeometry_35163noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9438, "image": "images/SyntheticGeometry/syntheticgeometry_12299noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9439, "image": "images/SyntheticGeometry/syntheticgeometry_18835noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9440, "image": "images/SyntheticGeometry/syntheticgeometry_08598noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9441, "image": "images/SyntheticGeometry/syntheticgeometry_05230noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9442, "image": "images/SyntheticGeometry/syntheticgeometry_35056noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9443, "image": "images/SyntheticGeometry/syntheticgeometry_37005noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9444, "image": "images/SyntheticGeometry/syntheticgeometry_05520noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9445, "image": "images/SyntheticGeometry/syntheticgeometry_13440.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9446, "image": "images/SyntheticGeometry/syntheticgeometry_34009noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9447, "image": "images/SyntheticGeometry/syntheticgeometry_11824noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9448, "image": "images/SyntheticGeometry/syntheticgeometry_04494noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9449, "image": "images/SyntheticGeometry/syntheticgeometry_19038.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9450, "image": "images/SyntheticGeometry/syntheticgeometry_29276.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9451, "image": "images/SyntheticGeometry/syntheticgeometry_13481noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9452, "image": "images/SyntheticGeometry/syntheticgeometry_16631noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9453, "image": "images/SyntheticGeometry/syntheticgeometry_12217.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9454, "image": "images/SyntheticGeometry/syntheticgeometry_40395.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9455, "image": "images/SyntheticGeometry/syntheticgeometry_04508noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9456, "image": "images/SyntheticGeometry/syntheticgeometry_06619noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9457, "image": "images/SyntheticGeometry/syntheticgeometry_09103noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FNL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9458, "image": "images/SyntheticGeometry/syntheticgeometry_49487noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9459, "image": "images/SyntheticGeometry/syntheticgeometry_41059noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KMD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9460, "image": "images/SyntheticGeometry/syntheticgeometry_49108noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9461, "image": "images/SyntheticGeometry/syntheticgeometry_14441noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9462, "image": "images/SyntheticGeometry/syntheticgeometry_28589.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9463, "image": "images/SyntheticGeometry/syntheticgeometry_44477.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9464, "image": "images/SyntheticGeometry/syntheticgeometry_05911noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9465, "image": "images/SyntheticGeometry/syntheticgeometry_41427noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9466, "image": "images/SyntheticGeometry/syntheticgeometry_29467noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9467, "image": "images/SyntheticGeometry/syntheticgeometry_23963.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9468, "image": "images/SyntheticGeometry/syntheticgeometry_20661.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9469, "image": "images/SyntheticGeometry/syntheticgeometry_43909noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9470, "image": "images/SyntheticGeometry/syntheticgeometry_19333noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9471, "image": "images/SyntheticGeometry/syntheticgeometry_24656.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9472, "image": "images/SyntheticGeometry/syntheticgeometry_21864.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9473, "image": "images/SyntheticGeometry/syntheticgeometry_04097noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9474, "image": "images/SyntheticGeometry/syntheticgeometry_22895.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9475, "image": "images/SyntheticGeometry/syntheticgeometry_29985noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9476, "image": "images/SyntheticGeometry/syntheticgeometry_08069noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9477, "image": "images/SyntheticGeometry/syntheticgeometry_11513.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9478, "image": "images/SyntheticGeometry/syntheticgeometry_03842noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9479, "image": "images/SyntheticGeometry/syntheticgeometry_10874.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9480, "image": "images/SyntheticGeometry/syntheticgeometry_31868noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9481, "image": "images/SyntheticGeometry/syntheticgeometry_19912noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9482, "image": "images/SyntheticGeometry/syntheticgeometry_33166.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9483, "image": "images/SyntheticGeometry/syntheticgeometry_25235.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9484, "image": "images/SyntheticGeometry/syntheticgeometry_04677noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9485, "image": "images/SyntheticGeometry/syntheticgeometry_04523noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NMF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9486, "image": "images/SyntheticGeometry/syntheticgeometry_44157noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9487, "image": "images/SyntheticGeometry/syntheticgeometry_33141noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9488, "image": "images/SyntheticGeometry/syntheticgeometry_48680.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9489, "image": "images/SyntheticGeometry/syntheticgeometry_12420noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9490, "image": "images/SyntheticGeometry/syntheticgeometry_08087noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9491, "image": "images/SyntheticGeometry/syntheticgeometry_19539noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9492, "image": "images/SyntheticGeometry/syntheticgeometry_08428noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GKO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9493, "image": "images/SyntheticGeometry/syntheticgeometry_36394noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9494, "image": "images/SyntheticGeometry/syntheticgeometry_08568noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9495, "image": "images/SyntheticGeometry/syntheticgeometry_10912noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LAN in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9496, "image": "images/SyntheticGeometry/syntheticgeometry_16731noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9497, "image": "images/SyntheticGeometry/syntheticgeometry_44180noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9498, "image": "images/SyntheticGeometry/syntheticgeometry_34205.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9499, "image": "images/SyntheticGeometry/syntheticgeometry_35428.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9500, "image": "images/SyntheticGeometry/syntheticgeometry_12344noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9501, "image": "images/SyntheticGeometry/syntheticgeometry_40314noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9502, "image": "images/SyntheticGeometry/syntheticgeometry_07770noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9503, "image": "images/SyntheticGeometry/syntheticgeometry_30490noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9504, "image": "images/SyntheticGeometry/syntheticgeometry_14174.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9505, "image": "images/SyntheticGeometry/syntheticgeometry_18175noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9506, "image": "images/SyntheticGeometry/syntheticgeometry_43223noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9507, "image": "images/SyntheticGeometry/syntheticgeometry_11394.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9508, "image": "images/SyntheticGeometry/syntheticgeometry_13808noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9509, "image": "images/SyntheticGeometry/syntheticgeometry_46250noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9510, "image": "images/SyntheticGeometry/syntheticgeometry_21520noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9511, "image": "images/SyntheticGeometry/syntheticgeometry_24141noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9512, "image": "images/SyntheticGeometry/syntheticgeometry_31131.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9513, "image": "images/SyntheticGeometry/syntheticgeometry_44133noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9514, "image": "images/SyntheticGeometry/syntheticgeometry_46333noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9515, "image": "images/SyntheticGeometry/syntheticgeometry_21183noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9516, "image": "images/SyntheticGeometry/syntheticgeometry_16784noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9517, "image": "images/SyntheticGeometry/syntheticgeometry_38867noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle MLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9518, "image": "images/SyntheticGeometry/syntheticgeometry_08849noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9519, "image": "images/SyntheticGeometry/syntheticgeometry_46877noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9520, "image": "images/SyntheticGeometry/syntheticgeometry_04210noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9521, "image": "images/SyntheticGeometry/syntheticgeometry_02573noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9522, "image": "images/SyntheticGeometry/syntheticgeometry_16541noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9523, "image": "images/SyntheticGeometry/syntheticgeometry_13403noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9524, "image": "images/SyntheticGeometry/syntheticgeometry_03897noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IFJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9525, "image": "images/SyntheticGeometry/syntheticgeometry_03645noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9526, "image": "images/SyntheticGeometry/syntheticgeometry_19783.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9527, "image": "images/SyntheticGeometry/syntheticgeometry_28374noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9528, "image": "images/SyntheticGeometry/syntheticgeometry_33055.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9529, "image": "images/SyntheticGeometry/syntheticgeometry_22711noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9530, "image": "images/SyntheticGeometry/syntheticgeometry_45796noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9531, "image": "images/SyntheticGeometry/syntheticgeometry_36656.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9532, "image": "images/SyntheticGeometry/syntheticgeometry_25906noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9533, "image": "images/SyntheticGeometry/syntheticgeometry_48714noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9534, "image": "images/SyntheticGeometry/syntheticgeometry_02350noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9535, "image": "images/SyntheticGeometry/syntheticgeometry_28545noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9536, "image": "images/SyntheticGeometry/syntheticgeometry_33817.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9537, "image": "images/SyntheticGeometry/syntheticgeometry_44257.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9538, "image": "images/SyntheticGeometry/syntheticgeometry_24572noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9539, "image": "images/SyntheticGeometry/syntheticgeometry_13082noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9540, "image": "images/SyntheticGeometry/syntheticgeometry_46864noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9541, "image": "images/SyntheticGeometry/syntheticgeometry_04910noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9542, "image": "images/SyntheticGeometry/syntheticgeometry_42294noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9543, "image": "images/SyntheticGeometry/syntheticgeometry_23859noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9544, "image": "images/SyntheticGeometry/syntheticgeometry_02288noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9545, "image": "images/SyntheticGeometry/syntheticgeometry_47673noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9546, "image": "images/SyntheticGeometry/syntheticgeometry_20227noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HCG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9547, "image": "images/SyntheticGeometry/syntheticgeometry_36921noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9548, "image": "images/SyntheticGeometry/syntheticgeometry_13557.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9549, "image": "images/SyntheticGeometry/syntheticgeometry_41526.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9550, "image": "images/SyntheticGeometry/syntheticgeometry_15827noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9551, "image": "images/SyntheticGeometry/syntheticgeometry_44489.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9552, "image": "images/SyntheticGeometry/syntheticgeometry_10055noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9553, "image": "images/SyntheticGeometry/syntheticgeometry_37591noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9554, "image": "images/SyntheticGeometry/syntheticgeometry_41875.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9555, "image": "images/SyntheticGeometry/syntheticgeometry_37750noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9556, "image": "images/SyntheticGeometry/syntheticgeometry_33176.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9557, "image": "images/SyntheticGeometry/syntheticgeometry_34145noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9558, "image": "images/SyntheticGeometry/syntheticgeometry_45716noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9559, "image": "images/SyntheticGeometry/syntheticgeometry_45895noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9560, "image": "images/SyntheticGeometry/syntheticgeometry_06312.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9561, "image": "images/SyntheticGeometry/syntheticgeometry_07429.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9562, "image": "images/SyntheticGeometry/syntheticgeometry_48289noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9563, "image": "images/SyntheticGeometry/syntheticgeometry_23798noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9564, "image": "images/SyntheticGeometry/syntheticgeometry_42944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9565, "image": "images/SyntheticGeometry/syntheticgeometry_35806.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9566, "image": "images/SyntheticGeometry/syntheticgeometry_48617.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9567, "image": "images/SyntheticGeometry/syntheticgeometry_07848.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9568, "image": "images/SyntheticGeometry/syntheticgeometry_42322noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9569, "image": "images/SyntheticGeometry/syntheticgeometry_02483noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9570, "image": "images/SyntheticGeometry/syntheticgeometry_32942noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9571, "image": "images/SyntheticGeometry/syntheticgeometry_40717noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9572, "image": "images/SyntheticGeometry/syntheticgeometry_43755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9573, "image": "images/SyntheticGeometry/syntheticgeometry_46112noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9574, "image": "images/SyntheticGeometry/syntheticgeometry_33785noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9575, "image": "images/SyntheticGeometry/syntheticgeometry_43232.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9576, "image": "images/SyntheticGeometry/syntheticgeometry_46286noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9577, "image": "images/SyntheticGeometry/syntheticgeometry_49491noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9578, "image": "images/SyntheticGeometry/syntheticgeometry_12705.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9579, "image": "images/SyntheticGeometry/syntheticgeometry_28351noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9580, "image": "images/SyntheticGeometry/syntheticgeometry_23193.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9581, "image": "images/SyntheticGeometry/syntheticgeometry_35371noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9582, "image": "images/SyntheticGeometry/syntheticgeometry_40599.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9583, "image": "images/SyntheticGeometry/syntheticgeometry_17924noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9584, "image": "images/SyntheticGeometry/syntheticgeometry_13488noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9585, "image": "images/SyntheticGeometry/syntheticgeometry_22086noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9586, "image": "images/SyntheticGeometry/syntheticgeometry_39502noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9587, "image": "images/SyntheticGeometry/syntheticgeometry_23913noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9588, "image": "images/SyntheticGeometry/syntheticgeometry_16632.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9589, "image": "images/SyntheticGeometry/syntheticgeometry_46641.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9590, "image": "images/SyntheticGeometry/syntheticgeometry_24879noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9591, "image": "images/SyntheticGeometry/syntheticgeometry_04177.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9592, "image": "images/SyntheticGeometry/syntheticgeometry_32599noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ONP in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9593, "image": "images/SyntheticGeometry/syntheticgeometry_38642noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9594, "image": "images/SyntheticGeometry/syntheticgeometry_18822noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9595, "image": "images/SyntheticGeometry/syntheticgeometry_49914noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9596, "image": "images/SyntheticGeometry/syntheticgeometry_27599noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GAE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9597, "image": "images/SyntheticGeometry/syntheticgeometry_43239.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9598, "image": "images/SyntheticGeometry/syntheticgeometry_17207noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IKB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9599, "image": "images/SyntheticGeometry/syntheticgeometry_11348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9600, "image": "images/SyntheticGeometry/syntheticgeometry_37709noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9601, "image": "images/SyntheticGeometry/syntheticgeometry_26084noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9602, "image": "images/SyntheticGeometry/syntheticgeometry_32728.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9603, "image": "images/SyntheticGeometry/syntheticgeometry_06116noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9604, "image": "images/SyntheticGeometry/syntheticgeometry_22071noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9605, "image": "images/SyntheticGeometry/syntheticgeometry_10892.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9606, "image": "images/SyntheticGeometry/syntheticgeometry_49988noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9607, "image": "images/SyntheticGeometry/syntheticgeometry_31656.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9608, "image": "images/SyntheticGeometry/syntheticgeometry_11449noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9609, "image": "images/SyntheticGeometry/syntheticgeometry_29896.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9610, "image": "images/SyntheticGeometry/syntheticgeometry_36906.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9611, "image": "images/SyntheticGeometry/syntheticgeometry_13669.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9612, "image": "images/SyntheticGeometry/syntheticgeometry_28569noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ILK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9613, "image": "images/SyntheticGeometry/syntheticgeometry_45553noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9614, "image": "images/SyntheticGeometry/syntheticgeometry_24635noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9615, "image": "images/SyntheticGeometry/syntheticgeometry_32328.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9616, "image": "images/SyntheticGeometry/syntheticgeometry_04398.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9617, "image": "images/SyntheticGeometry/syntheticgeometry_28055noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9618, "image": "images/SyntheticGeometry/syntheticgeometry_12062noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9619, "image": "images/SyntheticGeometry/syntheticgeometry_16363noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9620, "image": "images/SyntheticGeometry/syntheticgeometry_17453noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9621, "image": "images/SyntheticGeometry/syntheticgeometry_49517noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9622, "image": "images/SyntheticGeometry/syntheticgeometry_03975noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9623, "image": "images/SyntheticGeometry/syntheticgeometry_48111.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9624, "image": "images/SyntheticGeometry/syntheticgeometry_43987noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9625, "image": "images/SyntheticGeometry/syntheticgeometry_31339.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9626, "image": "images/SyntheticGeometry/syntheticgeometry_31692.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9627, "image": "images/SyntheticGeometry/syntheticgeometry_14783noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9628, "image": "images/SyntheticGeometry/syntheticgeometry_04941.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9629, "image": "images/SyntheticGeometry/syntheticgeometry_19441noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9630, "image": "images/SyntheticGeometry/syntheticgeometry_05229noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9631, "image": "images/SyntheticGeometry/syntheticgeometry_29440noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9632, "image": "images/SyntheticGeometry/syntheticgeometry_03653noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9633, "image": "images/SyntheticGeometry/syntheticgeometry_42028.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9634, "image": "images/SyntheticGeometry/syntheticgeometry_42545noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9635, "image": "images/SyntheticGeometry/syntheticgeometry_41218noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9636, "image": "images/SyntheticGeometry/syntheticgeometry_35647.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9637, "image": "images/SyntheticGeometry/syntheticgeometry_17365noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9638, "image": "images/SyntheticGeometry/syntheticgeometry_48740noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9639, "image": "images/SyntheticGeometry/syntheticgeometry_45295.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9640, "image": "images/SyntheticGeometry/syntheticgeometry_33416noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9641, "image": "images/SyntheticGeometry/syntheticgeometry_38163.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9642, "image": "images/SyntheticGeometry/syntheticgeometry_43914.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9643, "image": "images/SyntheticGeometry/syntheticgeometry_49795noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LIA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9644, "image": "images/SyntheticGeometry/syntheticgeometry_49090.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9645, "image": "images/SyntheticGeometry/syntheticgeometry_16995noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9646, "image": "images/SyntheticGeometry/syntheticgeometry_19269.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9647, "image": "images/SyntheticGeometry/syntheticgeometry_47410noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9648, "image": "images/SyntheticGeometry/syntheticgeometry_26967.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9649, "image": "images/SyntheticGeometry/syntheticgeometry_30673noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9650, "image": "images/SyntheticGeometry/syntheticgeometry_35734noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9651, "image": "images/SyntheticGeometry/syntheticgeometry_10935.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9652, "image": "images/SyntheticGeometry/syntheticgeometry_21295noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9653, "image": "images/SyntheticGeometry/syntheticgeometry_23898.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9654, "image": "images/SyntheticGeometry/syntheticgeometry_40527noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KMD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9655, "image": "images/SyntheticGeometry/syntheticgeometry_35597.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9656, "image": "images/SyntheticGeometry/syntheticgeometry_19331noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9657, "image": "images/SyntheticGeometry/syntheticgeometry_25873.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9658, "image": "images/SyntheticGeometry/syntheticgeometry_32314noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9659, "image": "images/SyntheticGeometry/syntheticgeometry_08638noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9660, "image": "images/SyntheticGeometry/syntheticgeometry_47665.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9661, "image": "images/SyntheticGeometry/syntheticgeometry_08449noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9662, "image": "images/SyntheticGeometry/syntheticgeometry_25130noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9663, "image": "images/SyntheticGeometry/syntheticgeometry_42881.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9664, "image": "images/SyntheticGeometry/syntheticgeometry_32892noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9665, "image": "images/SyntheticGeometry/syntheticgeometry_08716noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9666, "image": "images/SyntheticGeometry/syntheticgeometry_19944noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9667, "image": "images/SyntheticGeometry/syntheticgeometry_11874noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9668, "image": "images/SyntheticGeometry/syntheticgeometry_40766noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9669, "image": "images/SyntheticGeometry/syntheticgeometry_37601noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9670, "image": "images/SyntheticGeometry/syntheticgeometry_44386noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9671, "image": "images/SyntheticGeometry/syntheticgeometry_49333noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9672, "image": "images/SyntheticGeometry/syntheticgeometry_49845.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9673, "image": "images/SyntheticGeometry/syntheticgeometry_42253noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9674, "image": "images/SyntheticGeometry/syntheticgeometry_31135noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9675, "image": "images/SyntheticGeometry/syntheticgeometry_22747noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9676, "image": "images/SyntheticGeometry/syntheticgeometry_15166noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9677, "image": "images/SyntheticGeometry/syntheticgeometry_10027.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9678, "image": "images/SyntheticGeometry/syntheticgeometry_14458noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9679, "image": "images/SyntheticGeometry/syntheticgeometry_10645noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ACI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9680, "image": "images/SyntheticGeometry/syntheticgeometry_29215noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9681, "image": "images/SyntheticGeometry/syntheticgeometry_10262.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9682, "image": "images/SyntheticGeometry/syntheticgeometry_09991.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9683, "image": "images/SyntheticGeometry/syntheticgeometry_28609noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9684, "image": "images/SyntheticGeometry/syntheticgeometry_46443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9685, "image": "images/SyntheticGeometry/syntheticgeometry_10714noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9686, "image": "images/SyntheticGeometry/syntheticgeometry_35426noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9687, "image": "images/SyntheticGeometry/syntheticgeometry_18521noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9688, "image": "images/SyntheticGeometry/syntheticgeometry_46760noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9689, "image": "images/SyntheticGeometry/syntheticgeometry_10678noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9690, "image": "images/SyntheticGeometry/syntheticgeometry_06286noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9691, "image": "images/SyntheticGeometry/syntheticgeometry_40970.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9692, "image": "images/SyntheticGeometry/syntheticgeometry_32591noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9693, "image": "images/SyntheticGeometry/syntheticgeometry_19674noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OAQ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9694, "image": "images/SyntheticGeometry/syntheticgeometry_40356.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9695, "image": "images/SyntheticGeometry/syntheticgeometry_28733noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9696, "image": "images/SyntheticGeometry/syntheticgeometry_46621noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9697, "image": "images/SyntheticGeometry/syntheticgeometry_18858.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9698, "image": "images/SyntheticGeometry/syntheticgeometry_03109.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9699, "image": "images/SyntheticGeometry/syntheticgeometry_06826.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9700, "image": "images/SyntheticGeometry/syntheticgeometry_45977.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9701, "image": "images/SyntheticGeometry/syntheticgeometry_11944.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9702, "image": "images/SyntheticGeometry/syntheticgeometry_44800.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9703, "image": "images/SyntheticGeometry/syntheticgeometry_10219noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9704, "image": "images/SyntheticGeometry/syntheticgeometry_36786.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9705, "image": "images/SyntheticGeometry/syntheticgeometry_41883.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9706, "image": "images/SyntheticGeometry/syntheticgeometry_22052noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9707, "image": "images/SyntheticGeometry/syntheticgeometry_24789noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9708, "image": "images/SyntheticGeometry/syntheticgeometry_36905noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9709, "image": "images/SyntheticGeometry/syntheticgeometry_46181noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9710, "image": "images/SyntheticGeometry/syntheticgeometry_03926noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9711, "image": "images/SyntheticGeometry/syntheticgeometry_20381.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9712, "image": "images/SyntheticGeometry/syntheticgeometry_17387noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9713, "image": "images/SyntheticGeometry/syntheticgeometry_25009noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9714, "image": "images/SyntheticGeometry/syntheticgeometry_16533noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9715, "image": "images/SyntheticGeometry/syntheticgeometry_37523.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HJI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9716, "image": "images/SyntheticGeometry/syntheticgeometry_45174noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9717, "image": "images/SyntheticGeometry/syntheticgeometry_46251noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9718, "image": "images/SyntheticGeometry/syntheticgeometry_36385noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9719, "image": "images/SyntheticGeometry/syntheticgeometry_40359noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9720, "image": "images/SyntheticGeometry/syntheticgeometry_27315.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9721, "image": "images/SyntheticGeometry/syntheticgeometry_37078noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9722, "image": "images/SyntheticGeometry/syntheticgeometry_14727noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9723, "image": "images/SyntheticGeometry/syntheticgeometry_11966noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DBJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9724, "image": "images/SyntheticGeometry/syntheticgeometry_02600noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9725, "image": "images/SyntheticGeometry/syntheticgeometry_20954noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9726, "image": "images/SyntheticGeometry/syntheticgeometry_18358.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9727, "image": "images/SyntheticGeometry/syntheticgeometry_31736noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9728, "image": "images/SyntheticGeometry/syntheticgeometry_16107.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9729, "image": "images/SyntheticGeometry/syntheticgeometry_13630noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9730, "image": "images/SyntheticGeometry/syntheticgeometry_18042.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9731, "image": "images/SyntheticGeometry/syntheticgeometry_05806.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9732, "image": "images/SyntheticGeometry/syntheticgeometry_41999.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9733, "image": "images/SyntheticGeometry/syntheticgeometry_45203noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9734, "image": "images/SyntheticGeometry/syntheticgeometry_12066.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9735, "image": "images/SyntheticGeometry/syntheticgeometry_24346noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9736, "image": "images/SyntheticGeometry/syntheticgeometry_28889.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9737, "image": "images/SyntheticGeometry/syntheticgeometry_03234noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9738, "image": "images/SyntheticGeometry/syntheticgeometry_17352.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9739, "image": "images/SyntheticGeometry/syntheticgeometry_47049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9740, "image": "images/SyntheticGeometry/syntheticgeometry_07665.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9741, "image": "images/SyntheticGeometry/syntheticgeometry_04790noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9742, "image": "images/SyntheticGeometry/syntheticgeometry_35938noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9743, "image": "images/SyntheticGeometry/syntheticgeometry_46002.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9744, "image": "images/SyntheticGeometry/syntheticgeometry_05066noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9745, "image": "images/SyntheticGeometry/syntheticgeometry_16142noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9746, "image": "images/SyntheticGeometry/syntheticgeometry_45129.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9747, "image": "images/SyntheticGeometry/syntheticgeometry_34493.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FAG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9748, "image": "images/SyntheticGeometry/syntheticgeometry_19160noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9749, "image": "images/SyntheticGeometry/syntheticgeometry_26711.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9750, "image": "images/SyntheticGeometry/syntheticgeometry_07056noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9751, "image": "images/SyntheticGeometry/syntheticgeometry_13884noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9752, "image": "images/SyntheticGeometry/syntheticgeometry_48965noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9753, "image": "images/SyntheticGeometry/syntheticgeometry_37919noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9754, "image": "images/SyntheticGeometry/syntheticgeometry_02121noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9755, "image": "images/SyntheticGeometry/syntheticgeometry_18340.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9756, "image": "images/SyntheticGeometry/syntheticgeometry_04220noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle LDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9757, "image": "images/SyntheticGeometry/syntheticgeometry_03408noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9758, "image": "images/SyntheticGeometry/syntheticgeometry_45015noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9759, "image": "images/SyntheticGeometry/syntheticgeometry_43150.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9760, "image": "images/SyntheticGeometry/syntheticgeometry_31080.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9761, "image": "images/SyntheticGeometry/syntheticgeometry_26703noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9762, "image": "images/SyntheticGeometry/syntheticgeometry_02040noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9763, "image": "images/SyntheticGeometry/syntheticgeometry_06415noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9764, "image": "images/SyntheticGeometry/syntheticgeometry_37800.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EIH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9765, "image": "images/SyntheticGeometry/syntheticgeometry_22049noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9766, "image": "images/SyntheticGeometry/syntheticgeometry_14624.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CIB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9767, "image": "images/SyntheticGeometry/syntheticgeometry_24092noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9768, "image": "images/SyntheticGeometry/syntheticgeometry_16565noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9769, "image": "images/SyntheticGeometry/syntheticgeometry_13607noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9770, "image": "images/SyntheticGeometry/syntheticgeometry_10816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9771, "image": "images/SyntheticGeometry/syntheticgeometry_16864noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9772, "image": "images/SyntheticGeometry/syntheticgeometry_04222noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9773, "image": "images/SyntheticGeometry/syntheticgeometry_47891noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9774, "image": "images/SyntheticGeometry/syntheticgeometry_17677noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9775, "image": "images/SyntheticGeometry/syntheticgeometry_46410.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9776, "image": "images/SyntheticGeometry/syntheticgeometry_21110noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9777, "image": "images/SyntheticGeometry/syntheticgeometry_08835noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CMF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9778, "image": "images/SyntheticGeometry/syntheticgeometry_29543noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9779, "image": "images/SyntheticGeometry/syntheticgeometry_19252noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9780, "image": "images/SyntheticGeometry/syntheticgeometry_05427noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9781, "image": "images/SyntheticGeometry/syntheticgeometry_38290.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9782, "image": "images/SyntheticGeometry/syntheticgeometry_33639noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9783, "image": "images/SyntheticGeometry/syntheticgeometry_38626noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9784, "image": "images/SyntheticGeometry/syntheticgeometry_47433noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle KML in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9785, "image": "images/SyntheticGeometry/syntheticgeometry_42987noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9786, "image": "images/SyntheticGeometry/syntheticgeometry_17335noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9787, "image": "images/SyntheticGeometry/syntheticgeometry_39264noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9788, "image": "images/SyntheticGeometry/syntheticgeometry_11681noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NIO in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9789, "image": "images/SyntheticGeometry/syntheticgeometry_26555.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9790, "image": "images/SyntheticGeometry/syntheticgeometry_44649noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FIG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9791, "image": "images/SyntheticGeometry/syntheticgeometry_37813.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9792, "image": "images/SyntheticGeometry/syntheticgeometry_18198noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JBE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9793, "image": "images/SyntheticGeometry/syntheticgeometry_15341noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9794, "image": "images/SyntheticGeometry/syntheticgeometry_08380.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9795, "image": "images/SyntheticGeometry/syntheticgeometry_19923noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GOL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9796, "image": "images/SyntheticGeometry/syntheticgeometry_39701noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GJM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9797, "image": "images/SyntheticGeometry/syntheticgeometry_39288noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9798, "image": "images/SyntheticGeometry/syntheticgeometry_20524noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9799, "image": "images/SyntheticGeometry/syntheticgeometry_17746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9800, "image": "images/SyntheticGeometry/syntheticgeometry_09946noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9801, "image": "images/SyntheticGeometry/syntheticgeometry_08506noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AKI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9802, "image": "images/SyntheticGeometry/syntheticgeometry_48964noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9803, "image": "images/SyntheticGeometry/syntheticgeometry_29782noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9804, "image": "images/SyntheticGeometry/syntheticgeometry_38982noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9805, "image": "images/SyntheticGeometry/syntheticgeometry_09331noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BHF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9806, "image": "images/SyntheticGeometry/syntheticgeometry_20199noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9807, "image": "images/SyntheticGeometry/syntheticgeometry_46895.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9808, "image": "images/SyntheticGeometry/syntheticgeometry_19377noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9809, "image": "images/SyntheticGeometry/syntheticgeometry_41606noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9810, "image": "images/SyntheticGeometry/syntheticgeometry_05605.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9811, "image": "images/SyntheticGeometry/syntheticgeometry_11733noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9812, "image": "images/SyntheticGeometry/syntheticgeometry_38924noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9813, "image": "images/SyntheticGeometry/syntheticgeometry_20851noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9814, "image": "images/SyntheticGeometry/syntheticgeometry_07723noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9815, "image": "images/SyntheticGeometry/syntheticgeometry_20889.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9816, "image": "images/SyntheticGeometry/syntheticgeometry_02061noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9817, "image": "images/SyntheticGeometry/syntheticgeometry_37845noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9818, "image": "images/SyntheticGeometry/syntheticgeometry_04819noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9819, "image": "images/SyntheticGeometry/syntheticgeometry_18707noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9820, "image": "images/SyntheticGeometry/syntheticgeometry_49475noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9821, "image": "images/SyntheticGeometry/syntheticgeometry_12493noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9822, "image": "images/SyntheticGeometry/syntheticgeometry_31537.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9823, "image": "images/SyntheticGeometry/syntheticgeometry_27530noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9824, "image": "images/SyntheticGeometry/syntheticgeometry_46545noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9825, "image": "images/SyntheticGeometry/syntheticgeometry_06798.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9826, "image": "images/SyntheticGeometry/syntheticgeometry_13214.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9827, "image": "images/SyntheticGeometry/syntheticgeometry_22097noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9828, "image": "images/SyntheticGeometry/syntheticgeometry_43899.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9829, "image": "images/SyntheticGeometry/syntheticgeometry_19220noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9830, "image": "images/SyntheticGeometry/syntheticgeometry_42557.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9831, "image": "images/SyntheticGeometry/syntheticgeometry_25666noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle OGM in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9832, "image": "images/SyntheticGeometry/syntheticgeometry_40089noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9833, "image": "images/SyntheticGeometry/syntheticgeometry_36615noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9834, "image": "images/SyntheticGeometry/syntheticgeometry_13934.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9835, "image": "images/SyntheticGeometry/syntheticgeometry_29364noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9836, "image": "images/SyntheticGeometry/syntheticgeometry_41498noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9837, "image": "images/SyntheticGeometry/syntheticgeometry_29924noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9838, "image": "images/SyntheticGeometry/syntheticgeometry_42319noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9839, "image": "images/SyntheticGeometry/syntheticgeometry_31389noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9840, "image": "images/SyntheticGeometry/syntheticgeometry_04760noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9841, "image": "images/SyntheticGeometry/syntheticgeometry_23273.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9842, "image": "images/SyntheticGeometry/syntheticgeometry_46061noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9843, "image": "images/SyntheticGeometry/syntheticgeometry_31068noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9844, "image": "images/SyntheticGeometry/syntheticgeometry_39097noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9845, "image": "images/SyntheticGeometry/syntheticgeometry_09048noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9846, "image": "images/SyntheticGeometry/syntheticgeometry_25290noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9847, "image": "images/SyntheticGeometry/syntheticgeometry_23443noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9848, "image": "images/SyntheticGeometry/syntheticgeometry_12261.png", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9849, "image": "images/SyntheticGeometry/syntheticgeometry_49324noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9850, "image": "images/SyntheticGeometry/syntheticgeometry_25158noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9851, "image": "images/SyntheticGeometry/syntheticgeometry_30200noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9852, "image": "images/SyntheticGeometry/syntheticgeometry_42719.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ADH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9853, "image": "images/SyntheticGeometry/syntheticgeometry_14350noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9854, "image": "images/SyntheticGeometry/syntheticgeometry_10625noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9855, "image": "images/SyntheticGeometry/syntheticgeometry_42959noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9856, "image": "images/SyntheticGeometry/syntheticgeometry_02831noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9857, "image": "images/SyntheticGeometry/syntheticgeometry_41810.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9858, "image": "images/SyntheticGeometry/syntheticgeometry_35830noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9859, "image": "images/SyntheticGeometry/syntheticgeometry_15435.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9860, "image": "images/SyntheticGeometry/syntheticgeometry_42195.png", "conversations": [{"from": "human", "value": "\nThere is a triangle GPJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9861, "image": "images/SyntheticGeometry/syntheticgeometry_32427noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9862, "image": "images/SyntheticGeometry/syntheticgeometry_29951.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9863, "image": "images/SyntheticGeometry/syntheticgeometry_39556noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9864, "image": "images/SyntheticGeometry/syntheticgeometry_44029noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9865, "image": "images/SyntheticGeometry/syntheticgeometry_19130.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9866, "image": "images/SyntheticGeometry/syntheticgeometry_18479noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9867, "image": "images/SyntheticGeometry/syntheticgeometry_10039.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9868, "image": "images/SyntheticGeometry/syntheticgeometry_30951noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9869, "image": "images/SyntheticGeometry/syntheticgeometry_30591.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9870, "image": "images/SyntheticGeometry/syntheticgeometry_49745noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9871, "image": "images/SyntheticGeometry/syntheticgeometry_08404.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9872, "image": "images/SyntheticGeometry/syntheticgeometry_44145noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GEF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9873, "image": "images/SyntheticGeometry/syntheticgeometry_36555.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9874, "image": "images/SyntheticGeometry/syntheticgeometry_17153noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9875, "image": "images/SyntheticGeometry/syntheticgeometry_10168.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9876, "image": "images/SyntheticGeometry/syntheticgeometry_18732noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9877, "image": "images/SyntheticGeometry/syntheticgeometry_16262.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9878, "image": "images/SyntheticGeometry/syntheticgeometry_29310noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9879, "image": "images/SyntheticGeometry/syntheticgeometry_46036noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9880, "image": "images/SyntheticGeometry/syntheticgeometry_20941noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9881, "image": "images/SyntheticGeometry/syntheticgeometry_38194.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9882, "image": "images/SyntheticGeometry/syntheticgeometry_04997noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9883, "image": "images/SyntheticGeometry/syntheticgeometry_25288noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9884, "image": "images/SyntheticGeometry/syntheticgeometry_04637.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9885, "image": "images/SyntheticGeometry/syntheticgeometry_10167noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle NBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9886, "image": "images/SyntheticGeometry/syntheticgeometry_40813noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9887, "image": "images/SyntheticGeometry/syntheticgeometry_46586noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9888, "image": "images/SyntheticGeometry/syntheticgeometry_36635.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9889, "image": "images/SyntheticGeometry/syntheticgeometry_18492noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9890, "image": "images/SyntheticGeometry/syntheticgeometry_42626.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9891, "image": "images/SyntheticGeometry/syntheticgeometry_40855noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FKC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9892, "image": "images/SyntheticGeometry/syntheticgeometry_18223noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle JIK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9893, "image": "images/SyntheticGeometry/syntheticgeometry_48160.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9894, "image": "images/SyntheticGeometry/syntheticgeometry_33099noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9895, "image": "images/SyntheticGeometry/syntheticgeometry_17361noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9896, "image": "images/SyntheticGeometry/syntheticgeometry_08293noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FEA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9897, "image": "images/SyntheticGeometry/syntheticgeometry_19205noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9898, "image": "images/SyntheticGeometry/syntheticgeometry_19491noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9899, "image": "images/SyntheticGeometry/syntheticgeometry_33183noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EFH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9900, "image": "images/SyntheticGeometry/syntheticgeometry_03571.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9901, "image": "images/SyntheticGeometry/syntheticgeometry_38136.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9902, "image": "images/SyntheticGeometry/syntheticgeometry_27987.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9903, "image": "images/SyntheticGeometry/syntheticgeometry_17102.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9904, "image": "images/SyntheticGeometry/syntheticgeometry_14694noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle GHB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9905, "image": "images/SyntheticGeometry/syntheticgeometry_12413.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9906, "image": "images/SyntheticGeometry/syntheticgeometry_34806.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9907, "image": "images/SyntheticGeometry/syntheticgeometry_05210noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9908, "image": "images/SyntheticGeometry/syntheticgeometry_32799noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9909, "image": "images/SyntheticGeometry/syntheticgeometry_12741.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9910, "image": "images/SyntheticGeometry/syntheticgeometry_12763noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9911, "image": "images/SyntheticGeometry/syntheticgeometry_41926noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9912, "image": "images/SyntheticGeometry/syntheticgeometry_24442noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9913, "image": "images/SyntheticGeometry/syntheticgeometry_49701noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9914, "image": "images/SyntheticGeometry/syntheticgeometry_30326.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JGI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9915, "image": "images/SyntheticGeometry/syntheticgeometry_28202noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9916, "image": "images/SyntheticGeometry/syntheticgeometry_45159.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9917, "image": "images/SyntheticGeometry/syntheticgeometry_14575.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9918, "image": "images/SyntheticGeometry/syntheticgeometry_45005.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9919, "image": "images/SyntheticGeometry/syntheticgeometry_16429noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9920, "image": "images/SyntheticGeometry/syntheticgeometry_28952noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9921, "image": "images/SyntheticGeometry/syntheticgeometry_06670noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9922, "image": "images/SyntheticGeometry/syntheticgeometry_19193.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9923, "image": "images/SyntheticGeometry/syntheticgeometry_36110noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9924, "image": "images/SyntheticGeometry/syntheticgeometry_33111noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9925, "image": "images/SyntheticGeometry/syntheticgeometry_05829.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9926, "image": "images/SyntheticGeometry/syntheticgeometry_30350.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9927, "image": "images/SyntheticGeometry/syntheticgeometry_03407noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9928, "image": "images/SyntheticGeometry/syntheticgeometry_18803noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9929, "image": "images/SyntheticGeometry/syntheticgeometry_15967noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9930, "image": "images/SyntheticGeometry/syntheticgeometry_09435.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DAK in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9931, "image": "images/SyntheticGeometry/syntheticgeometry_29211noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9932, "image": "images/SyntheticGeometry/syntheticgeometry_15513.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9933, "image": "images/SyntheticGeometry/syntheticgeometry_22816noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9934, "image": "images/SyntheticGeometry/syntheticgeometry_26571noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9935, "image": "images/SyntheticGeometry/syntheticgeometry_14107noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9936, "image": "images/SyntheticGeometry/syntheticgeometry_29788noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9937, "image": "images/SyntheticGeometry/syntheticgeometry_08001noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EHG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9938, "image": "images/SyntheticGeometry/syntheticgeometry_10259.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9939, "image": "images/SyntheticGeometry/syntheticgeometry_44383noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9940, "image": "images/SyntheticGeometry/syntheticgeometry_40478noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9941, "image": "images/SyntheticGeometry/syntheticgeometry_28862.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9942, "image": "images/SyntheticGeometry/syntheticgeometry_41055noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9943, "image": "images/SyntheticGeometry/syntheticgeometry_08151.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9944, "image": "images/SyntheticGeometry/syntheticgeometry_21188noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9945, "image": "images/SyntheticGeometry/syntheticgeometry_27985noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9946, "image": "images/SyntheticGeometry/syntheticgeometry_34143noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9947, "image": "images/SyntheticGeometry/syntheticgeometry_49570noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9948, "image": "images/SyntheticGeometry/syntheticgeometry_30025noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AEC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9949, "image": "images/SyntheticGeometry/syntheticgeometry_24416.png", "conversations": [{"from": "human", "value": "\nThere is a triangle HAL in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9950, "image": "images/SyntheticGeometry/syntheticgeometry_41547.png", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9951, "image": "images/SyntheticGeometry/syntheticgeometry_34168noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9952, "image": "images/SyntheticGeometry/syntheticgeometry_13908.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9953, "image": "images/SyntheticGeometry/syntheticgeometry_31348noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9954, "image": "images/SyntheticGeometry/syntheticgeometry_15805.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BLA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9955, "image": "images/SyntheticGeometry/syntheticgeometry_41768noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FGJ in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9956, "image": "images/SyntheticGeometry/syntheticgeometry_16531noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9957, "image": "images/SyntheticGeometry/syntheticgeometry_46079noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9958, "image": "images/SyntheticGeometry/syntheticgeometry_31319noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CGD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9959, "image": "images/SyntheticGeometry/syntheticgeometry_02208noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle HFD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9960, "image": "images/SyntheticGeometry/syntheticgeometry_24829noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9961, "image": "images/SyntheticGeometry/syntheticgeometry_26878.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9962, "image": "images/SyntheticGeometry/syntheticgeometry_21421noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9963, "image": "images/SyntheticGeometry/syntheticgeometry_25654.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9964, "image": "images/SyntheticGeometry/syntheticgeometry_42492noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9965, "image": "images/SyntheticGeometry/syntheticgeometry_20017noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ABD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9966, "image": "images/SyntheticGeometry/syntheticgeometry_41755noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CFI in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9967, "image": "images/SyntheticGeometry/syntheticgeometry_11608noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9968, "image": "images/SyntheticGeometry/syntheticgeometry_36303noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9969, "image": "images/SyntheticGeometry/syntheticgeometry_43043.png", "conversations": [{"from": "human", "value": "\nThere is a triangle IBA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9970, "image": "images/SyntheticGeometry/syntheticgeometry_39702noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FDB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9971, "image": "images/SyntheticGeometry/syntheticgeometry_34456.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9972, "image": "images/SyntheticGeometry/syntheticgeometry_29162noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9973, "image": "images/SyntheticGeometry/syntheticgeometry_04198noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9974, "image": "images/SyntheticGeometry/syntheticgeometry_29514.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9975, "image": "images/SyntheticGeometry/syntheticgeometry_23773noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9976, "image": "images/SyntheticGeometry/syntheticgeometry_29884noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9977, "image": "images/SyntheticGeometry/syntheticgeometry_17652noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle ECF in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9978, "image": "images/SyntheticGeometry/syntheticgeometry_17054noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CBG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9979, "image": "images/SyntheticGeometry/syntheticgeometry_44329.png", "conversations": [{"from": "human", "value": "\nThere is a triangle JEH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9980, "image": "images/SyntheticGeometry/syntheticgeometry_15745noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AJE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9981, "image": "images/SyntheticGeometry/syntheticgeometry_04912.png", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9982, "image": "images/SyntheticGeometry/syntheticgeometry_15846.png", "conversations": [{"from": "human", "value": "\nThere is a triangle CFA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9983, "image": "images/SyntheticGeometry/syntheticgeometry_14497noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9984, "image": "images/SyntheticGeometry/syntheticgeometry_39076noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DGA in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9985, "image": "images/SyntheticGeometry/syntheticgeometry_27766noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9986, "image": "images/SyntheticGeometry/syntheticgeometry_44351.png", "conversations": [{"from": "human", "value": "\nThere is a triangle AEB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9987, "image": "images/SyntheticGeometry/syntheticgeometry_46869noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle AGB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9988, "image": "images/SyntheticGeometry/syntheticgeometry_39458noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EBC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9989, "image": "images/SyntheticGeometry/syntheticgeometry_23006noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9990, "image": "images/SyntheticGeometry/syntheticgeometry_31043.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9991, "image": "images/SyntheticGeometry/syntheticgeometry_41799.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9992, "image": "images/SyntheticGeometry/syntheticgeometry_26746noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle EAD in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9993, "image": "images/SyntheticGeometry/syntheticgeometry_37945.png", "conversations": [{"from": "human", "value": "\nThere is a triangle BFE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9994, "image": "images/SyntheticGeometry/syntheticgeometry_18066noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle CDE in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9995, "image": "images/SyntheticGeometry/syntheticgeometry_43087noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle FAH in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9996, "image": "images/SyntheticGeometry/syntheticgeometry_25084noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BAC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9997, "image": "images/SyntheticGeometry/syntheticgeometry_09932noise_1.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle DFC in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9998, "image": "images/SyntheticGeometry/syntheticgeometry_03142.png", "conversations": [{"from": "human", "value": "\nThere is a triangle DCB in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]} {"id": 9999, "image": "images/SyntheticGeometry/syntheticgeometry_37559noise_0.jpeg", "conversations": [{"from": "human", "value": "\nThere is a triangle BEG in the figure. True or False?\n\nA triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.\n\nYour response should only include the final answer (True, False). Do not include any reasoning or explanation in your response."}, {"from": "gpt", "value": "True"}]}