Question

Select the correct answer.Consider a regular polygon that has 12 congruent sides. Which angle of rotation will carry it onto itself?

Answer 1

30 degrees

Explanation:

A regular polygon is a polygon in which all the side lengths are equal.

All regular polygons have rotational symmetry, that means it can be rotated so that the pre-image and the image are the same.

The angle by which this rotational symmetry occurs is the exterior angle of the polygon.

Given a regular polygon with 12 sides, the exterior angle is:

`(360)/(12)=30\degree`

Therefore, the angle of rotation that will carry onto itself is 30 degrees.