Checking and securing understanding of enlargement with positive fractional scale factors | Maths

Starter quiz

__________ will produce an image that is similar to the object.

An enlargement ✓

A reflection

A rotation

A transformation

A translaton
Shape A is enlarged to give shape B. The scale factor of this enlargement is ______.

'4' ✓
These two shapes are an enlargement of each other. The missing length is ______ cm.

'6' ✓
Shape A is enlarged to give shape B. The scale factor of this enlargement is ______.

'3' ✓
Shape A is enlarged to give shape B. What is the centre of the enlargement?

(0, 0)

(3, 3)

(4, 0)

(6, 3)

(6, 4) ✓
Shape A is enlarged by scale factor 2, centre (-4, 4) to give shape B. Select the points that should be joined to give shape B.

(0, 0) ✓

(1, 2)

(2, 6) ✓

(6, 2) ✓

(4, 4)

Similar shapes are ______ of each other.

enlargements ✓

reflections

rotations

transformations

translations
Shape B is enlarged to give shape A. What is the scale factor of this enlargement?

$4$

$\frac{1}{4}$ ✓

$\frac{1}{3}$

$\frac{1}{12}$
Which diagram shows a correct enlargement from the marked centre of enlargement?
Shape A is enlarged to give shape B. What is the scale factor of this enlargement?

$2$

$\frac{2}{3}$

$\frac{3}{2}$ ✓

$3$
Shape A is enlarged to give shape B. What is the centre of the enlargement?

(3, 0)

(4, 0)

(-1, 4)

(-3, 4) ✓

(-3, 3)
Describe the transformation that maps shape A onto shape B.

An enlargement scale factor $\frac{1}{2}$ , centre (-1, 2)

An enlargement scale factor $2$ , centre (-1, 2)

An enlargement scale factor $2$ , centre (-2, -1)

An enlargement scale factor $\frac{1}{2}$ , centre (-2, -1) ✓

An enlargement scale factor $\frac{1}{2}$

Loading worksheet ...

Loading presentation ...

Each length in the shape is multiplied by the scale factor.
Each vertex in the object is a given distance from the centre of enlargement.
This distance is also multiplied by the scale factor to give the distance of the image's vertex.
A positive fractional scale factor produces an image that is smaller than the original.
To enlarge, you need the centre of enlargement and a scale factor.

Pupils may measure/count from the object instead of the centre of enlargement.

Encourage pupils to check their answers by using ray lines.

Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Enlargement - Enlargement is a transformation that causes a change of size.
Scale factor - A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.
Centre of enlargement - The centre of enlargement is the point from which a shape is enlarged.