## 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**: