# Resizing - Enlargement, contraction

In order to describe an enlargement or contraction of an object in maths you have to find its centre and the scale of reduction or enlargement.

## Centre and scale

What an **enlargement** and she's covered in **scales** get her to the health **CENTRE**.

Resizing means the shape gets bigger or smaller

The shape is similar i.e. all the angles and proportions stay the same.

They call this many names;

- Resizing
- Enlargement
- Dilation (getting bigger)
- Reduction
- Contraction
- Compression
- Expansion

If you are just asked to enlarge a shape on a graph such as

**Example**

Enlarge the following shape by a scale of 2 or factor of 2.

Then your new shape will be:

Twice as big.

The position of the enlarged shape hasn't been mentioned.

Resizing is different. Resizing will not only require a scale but will also ask for a centre point of origin.

Think of resizing, enlargement or contraction as a torch shining from the centre point to the object and the resize depending on the scale.

## Enlargement

Enlargement by a scale of 2.

Our scale is 2 so we must multiply the distance between the centre point and each vertex (corner) by 2.

## Reduction

Reduction by a scale of `1/2`

Our scale is `1/2` so we must multiply the distance between the centre point and each vertex (corner) by `1/2`.