Question

Question
In 3–5 sentences, summarize the rotations that carry a regular pentagon onto itself.(4 points)

Answer 1

rephrase

Answer 2

A regular pentagon can be rotated around its center by multiples of \( 72^\circ \) to map it onto itself. Specifically, the rotations that maintain the congruence of the pentagon include \( 0^\circ \) (no rotation), \( 72^\circ \), \( 144^\circ \), \( 216^\circ \), and \( 288^\circ \). Each of these rotations results in the polygon's vertices aligning with their original positions, demonstrating the pentagon's symmetry. These five rotations form the rotation group of the regular pentagon, which has an order of 5.