A rotation can be by any angle about any center of rotation.
However, it can be time consuming to rotate a shape and even more difficult to describe a rotation.
Rotations of 90°, 180°, 270° and 360° about the origin, however, are relatively simple.

If a rotation is
Please tell us using

## A Rotation of 90° About the Origin

The shape below has been rotated 90° (one quarter turn) clockwise about the origin:## A Rotation of 180° About the Origin

The shape below has been rotated 180° (one half turn) clockwise about the origin:## A Rotation of 270° About the Origin

The shape below has been rotated 270° (three quarter turns) clockwise about the origin:## A Rotation of 360° About the Origin

The shape below has been rotated 360° (one whole turn) clockwise about the origin:## Top Tip

## How to Think of Rotations 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 in a series of one... two... three... four quarter turns, the rotations described on this page can be found.## Note

## Clockwise and Counter-Clockwise

The direction of rotation is needed to describe a rotation.- If the rotation is in the same direction as the hands of a clock, the direction is
**clockwise**. - If the rotation is in the opposite direction as the hands of a clock, the direction is
**counter-clockwise**or**anti-clockwise**.

## A Rotation Can Be Described as Both Clockwise and Counter-Clockwise

Any rotation can be described as both clockwise and clockwise. The rotation below can be described as both**90° clockwise**and**270° counter-clockwise**:If a rotation is

**θ**clockwise, it is**360 − θ**counter-clockwise.## You might also like...

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Grammar Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.