please paraphrase this into simpler words and only 4 sentences: The rotations that carry a regular pentagon onto itself correspond to its symmetries, which are specific angles of rotation around its center. These include a rotation of 0° (identity), 72° (one vertex to the position of the next), 144° (two vertices), 216° (three vertices), and 288° (four vertices). Each of these rotations results in the pentagon appearing unchanged, effectively mapping each vertex to a new position while maintaining the overall shape. Since there are five vertices, there are five distinct rotational symmetries for the regular pentagon.

Answer 1

The rotations that keep a regular pentagon looking the same are called its symmetries. These rotations include turning it 0° (no change), 72° (one point moves to the next), 144° (two points), 216° (three points), and 288° (four points). Each of these turns makes the pentagon look unchanged, just moving the points around. Because there are five points, the regular pentagon has five unique ways to rotate and still look the same.