A student claims that a rotation of 180° about the center of a regular polygon carries the polygon onto itself. Which statement BEST describes the student's claim? A . The student's claim is true for all regular polygons. B. The student's claim is not true for any regular polygon. C. The student's claim is true for regular polygons with an odd number of sides. D. The student's claim is true for regular polygons with an even number of sides.

Answer 1

The best statement that describes the student's claim is:

A. The student's claim is true for all regular polygons.

A rotation of 180° about the center of a regular polygon maps each vertex of the polygon to another vertex directly opposite it. Since regular polygons are symmetric, this rotation will carry the polygon onto itself regardless of whether it has an odd or even number of sides.