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

Answer 1

8 times
because the sides of the octagon are all equal so as it rotates from the center it coincides with the preimage

Answer 2

A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees. So 360/45= 8 times