A regular pentagon can be rotated about its center by multiples of 72 degrees to map onto itself. Specifically, these rotations include 0 degrees (no rotation), 72 degrees, 144 degrees, 216 degrees, and 288 degrees. Each rotation corresponds to a different vertex taking the position of the previous one, thereby preserving the pentagon's shape and symmetry. These five rotational symmetries form a group known as the cyclic group \(C_5\).
In 3-5 sentences, summarize the rotations that carry a regular pentagon onto itself
3 answers
can you dumb your answer down?
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