Finding the glide reflection using a compass or straightedge Given two congruent triangles that are not a rotation, translation or reflection of each other; how can I find the glide reflection (the last remaining option) using only compass and straightedge. 
Find the Glide Line and Glide Vector gives an algebraic solution but I would like a solution with a compass or straightedge.

Another way to do it is to connect the corresponding vertices and find the midpoints of each of these segments. Then you connect these midpoints to make a line, which is the line of reflection.
