Question

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?

A.) 1
B.) 2
C.) 4
D.) 8

Answer 1

8

Explanation:

Answer 2

Given that the octagon rotates 360 degrees, it is a given that for every regular division of the polygon (360/8 = 45 degrees), the image would coincide with the pre-image during the rotation. Therefore, the octagon would coincide a total of 8 times as it rotates 360 degrees about its center.