Question

Which describes how to find all rotation angles less that 360° that will map a regular polygon onto itself?

A) Multiply the smallest rotation angle by 3.
B) Multiply the smallest rotation angle by the number of sides.
C) Divide 360° by the number of sides.
D) Add the smallest rotation angle to itself over and over until you get to 360°.

Answer 1

The correct way to find all rotation angles for a regular polygon is to divide 360° by the polygon's number of sides.

Step-by-step explanation:

To find all rotation angles less than 360° that will map a regular polygon onto itself, you need to divide 360° by the number of sides of the polygon. This gives you the smallest angle of rotation that, when repeatedly added to itself, maps the polygon onto itself. For example, a regular triangle has 3 sides, so the angle of rotation is 360° divided by 3, which equals 120°. Therefore, the rotation angles that map a regular triangle onto itself are 120°, 240°, and 360° (or 0°).