# Rotational Symmetry

A figure has
**
rotational symmetry
**
if it can be rotated by an angle between
$0\xb0$
and
$360\xb0$
so that the image coincides with the preimage.

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself.

The
**
order of symmetry
**
is the number of times the figure coincides with itself as its rotates through
$360\xb0$
.

**
Example:
**

A regular hexagon has rotational symmetry. The angle of rotation is $60\xb0\text{\hspace{0.17em}}$ and the order of the rotational symmetry is $6$ .

A scalene triangle does not have rotational symmetry.