In 3–5 sentences, summarize the rotations that carry a regular pentagon onto itself..

Answer 1

A regular pentagon can be rotated about its center through specific angles to map onto itself. The rotations that carry the pentagon onto itself are 0 degrees (the identity rotation), 72 degrees, 144 degrees, 216 degrees, and 288 degrees. These angles correspond to increments of 72 degrees, which is the angle between adjacent vertices. Each of these rotations results in the pentagon appearing unchanged in shape and position.