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

Explanation:

Answer 2

This regular polygon, having eight sides and 45º angle in similar parts, when rotating 360º, will find a similar image and a similar angle of 45º, therefore dividing the angle of 360º by 45º will be the Number of coincidences in image.

Solving, thus, we have:

`(360)/(45) = \boxed{\boxed{8\:coincidences\:in\:image}}\end{array}}\qquad\quad\checkmark`