# What is Rotational Symmetry?

Rotational Symmetry is a shape’s property when it looks the same after rotation as it did at its starting point.

It is also called Radial Symmetry.

An object’s degree of rotational symmetry is determined by the number of orientations in which it looks the same as before rotation.

Examples

This shape has rotational symmetry of 2, as it only looks identical twice when rotated around a fixed point. Therefore, it turns 180° to form each order of rotational symmetry.

This shape has rotational symmetry of 5, as it only looks identical twice when rotated around a fixed point. It turns 72° to form each order of rotational symmetry.

This shape has rotational symmetry of 3, as it only looks identical twice when rotated around a fixed point. It turns 120° to form each order of rotational symmetry.

This shape has rotational symmetry of 6, as it only looks identical twice when rotated around a fixed point. It turns 60° to form each order of rotational symmetry.