# Rotating a Shape

(KS2, Year 6)

## Rotating a Shape

A shape can be rotated. When a shape is rotated, each point on the shape is turned by an angle about a centre of rotation.## How to Rotate a Shape

Rotating a shape is easy.## Question

Rotate the shape below by**60° clockwise**about the point

**(3, 1)**.

## Step-by-Step:

## 1

Plot the centre of rotation.
In our example, the Cartesian coordinates of the centre of rotation is

**(3, 1)**. It is 3 units along the x-axis and 1 unit up the y-axis.**A**.

## 2

Draw a line from the centre of rotation to point

**A**.## 3

Measure the length of this line.

## 4

Measure the angle of rotation (60°) from the line.
Using a protractor, find 60° clockwise from the line found.
Mark this angle.

## 5

Draw a line from the centre of rotation.
It must be the same length as the line in

**Step 3**and be at the angle found in**Step 4**.**A**has been rotated 60° about (3, 1) to find

**A'**, the corresponding point on the rotated shape.Repeat for points

**B**and

**C**:

## Answer:

With all the vertices (corners) of the shape rotated, the rotated shape can be drawn:## What Is a Rotation?

A rotation turns a shape around a center. A rotation is a type of transformation.## 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.