## 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.

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