Question

Choose all degrees of rotation that will carry the regular pentagon onto itself.

A. 72°
B. 90°
C. 108°
D. 144°
E. 216°

Answer 1

A. 72°

D. 144°

E. 216°

Explanation:

I just answered this.

in short : we rotate each vertex on a circle arc. the center of that circle being P.

so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.

therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.

that is starting at

360/5 = 72°

and then every additional 72°

144°

216°

288°

360°

so, A, D and E are correct