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

Starter quiz

A ______ of a shape is the mirror image of the shape.

'reflection' ✓
Which of these diagrams do NOT show a reflection?
Two shapes are similar if the only difference between them is their __________. Their side lengths are in the same proportions.

angles

orientation

position

size ✓

vertices
Which of these diagrams show a reflection?
Quadrilaterals A and B are similar. The length of the side marked $z$ is ______ cm.

'8' ✓
Rectangle B is an enlargement of rectangle A by scale factor 2. Rectangle A has perimeter = 18 cm and area = 18 cm². Both rectangles have integer side lengths. Find the area and perimeter of B.

Area = 36 cm²

Area = 72 cm² ✓

Perimeter = 36 cm ✓

Perimeter = 72 cm

An enlargement will produce an image that is __________ to the object.

congruent

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

'3' ✓
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 ______.

'2' ✓
Shape A is enlarged to give shape B. What is the centre of the enlargement?

(0, 0)

(1, 0) ✓

(0, 1)

(1, 1)

(2, 1)
Shape A is enlarged by scale factor 2, centre (6, 6) to give shape B. Select the points that should be joined to give shape B.

(2, 4) ✓

(0, 4)

(4, 4)

(4, 0) ✓

(2, 0) ✓

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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 integer scale factor produces an image that is bigger than the original.
To enlarge, you need the centre of enlargement and a scale factor.

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

Have pupils check their answers 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.