Question

transformations unit test
in 3 - 5 sentences, summarize the rotations that carry a regular pentagon onto itself. (4 points)

Explanation:

A regular pentagon has rotational symmetry. Rotations of 72°, 144°, 216°, 288° and 360° (a full - turn) about its center will carry it onto itself. This is because the central angle of a regular pentagon is $\frac{360^{\circ}}{5}=72^{\circ}$, and multiples of this angle result in self - congruence.

Answer:

Rotations of 72°, 144°, 216°, 288° and 360° about the center of a regular pentagon carry it onto itself.