instruction: How many sides and vertices does a polygon have?
response: A polygon is a general case for a two dimensional shape where all edges and vertices essentially form a closed shape. A triangle for example has three edges/sides, with three vertices. A Pentagon has five vertices and five sides. A Nonagon has nine sides and nine vertices, and so forth. One can formulate a rule which defines an N sided polygon. This rule would look something like: an n-sided polygon has n sides and n vertices where n is an integer greater than or equal to three and forming a closed two-dimensional shape.