Question

in 3 - 5 sentences, summarize the rotations that carry a regular pentagon onto itself. (4 points)
short answer rubric (4 points)
points awarded
4 the answer is very clear
the answer is fully supported by details
there may be a few errors in grammar, usage, or mechanics. errors do not inter
3 the answer is mostly clear
the answer is supported by mostly relevant details
there are a few errors in grammar, usage, or mechanics. errors do not interfere

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 create congruent orientations.

Answer:

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