College

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

A. 72°

B. 90°

C. 108°

D. 144°

E. 216°

Choose all degrees of rotation that will carry the regular pentagon onto itself A 72 B 90 C 108 D 144 E 216

Answer :

Answer:

A. 72°

D. 144°

E. 216°

Step-by-step 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