# Alicia draws an equilateral triangle and then rotates it about its center. Through which angle measures can she rotate the equilateral triangle to map it onto itself?

##### 1 Answer

Sep 16, 2016

#### Explanation:

An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.

The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.

IN the same way, a square will rotate through

A pentagon will rotate through