Question

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

Write in a 11th grader’s response

Answer 1

A regular pentagon can be rotated around its center to align with itself in several ways: through rotations of 0°, 72°, 144°, 216°, and 288°. These angles correspond to rotating the pentagon by multiples of 72°, which is the measure of the angle between its vertices. Essentially, these five rotations are part of the pentagon's symmetrical properties, allowing it to maintain its shape and position in a way that looks the same as it did before the rotation.