# A 180° Rotation About the Origin

A rotation is described by the angle the shape turns about a center of rotation.

The shape above has been rotated 180° clockwise (the angle of reflection) about the origin (0, 0) (the center of rotation).

# Real Examples of a Rotation of 180° About the Origin

All of the following shapes have been rotated by 180° clockwise about the origin:

# 90°, 270° and 360° Rotations About the Origin

90°, 270° and 360° rotations about the origin are also commonly examined:

Geometry Lessons
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##### Top Tip
180° IS A QUARTER TURN

180° is a half turn.

##### Note
WHAT IS A ROTATION?

A rotation turns a shape around a center.

A rotation is a type of transformation.

HOW TO THINK OF ROTATIONS OF 180° ABOUT THE ORIGIN

Imagine a shape is drawn on a pair of axes on a sheet of paper...

Imagine sticking a pin through the origin and into a surface.

If you span the paper around, the pin would stay in place and every other point on the paper would turn in a circle around it.

By turning the paper a half turn, a 180° rotation about the origin will take place.