# A Rotation of 90° About the Origin (Mathematics Lesson)

# A 90° 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

**90°**clockwise (the angle of reflection) about the

**origin (0, 0)**(the center of rotation).

# Real Examples of a Rotation of 90° About the Origin

All of the following shapes have been rotated by**90° clockwise**about the

**origin**:

# How to Describe 180°, 270° and 360° Rotations About the Origin

180°, 270° and 360° rotations about the origin are also commonly examined:Read more about a 180° rotation about the origin

Read more about a 270° rotation about the origin

Read more about a 360° rotation about the origin

##### Curriculum

##### Interactive Test

**show**

##### Top Tip

**90° IS A QUARTER TURN**

90° is a quarter 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 90° 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 quarter turn, a 90° rotation about the origin will take place.