# How to Rotate a Shape

## 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 center 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 center of rotation.

In our example, the Cartesian coordinates of the center of rotation is **(3, 1)**. It is 3 units along the x-axis and 1 unit up the y-axis.

Each point on the shape is rotated by the same amount.

Let us choose a point on the shape and rotate it. We will rotate point **A**.

# 2

Draw a line from the center 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**.

Point **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: