Enlargement

The Maths Habit

aHow many squares long?4
bWork out4 × 28
cWork out2 × 36
dFrom C to the dot: how many right? How many up?C2 right, 3 up

Which house is A made bigger? It must still look the same.

ABCD

C. Every side is twice as long. B is stretched across. D is stretched up.

Enlargement
The shape gets bigger. It keeps the same shape.
× 3
Scale factor
The number every side is multiplied by.
C
Centre of enlargement
The point the shape is enlarged from.

Enlarge shape A by scale factor 2. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
across3× 2 =6up1× 2 =2
3Draw the new shape.

Enlarge shape A by scale factor 2. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
across1× 2 =2up2× 2 =4
3Draw the new shape.

Enlarge shape A by scale factor 2. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
across3× 2 =6up1× 2 =2
3Draw the new shape.

Enlarge shape A by scale factor 3. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
3Draw the new shape.
1Count each side.
2Multiply by the scale factor.
across2× 3 =6up1× 3 =3
3Draw the new shape.

Enlarge shape A by scale factor 2. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
across3× 2 =6up1× 2 =2
3Draw the new shape.

Enlarge shape A by scale factor 2. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
3Draw the new shape.
1Count each side.
2Multiply by the scale factor.
across2× 2 =4up2× 2 =4
3Draw the new shape.

Enlarge shape A by scale factor 2. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
across3× 2 =6up1× 2 =2
3Draw the new shape.

Enlarge shape A by scale factor 3. Start at the dot.

A
1Count each side.
2Multiply by the scale factor.
3Draw the new shape.
1Count each side.
2Multiply by the scale factor.
across1× 3 =3up2× 3 =6
3Draw the new shape.

From C to P is 2 right, 1 up. Double it. Which point do you land on: E, F or G?

PEFGCF: 4 right, 2 up

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
Journey from C1right2up
2Multiply by the scale factor.
Journey × 22right4up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
Journey from C2right1up
2Multiply by the scale factor.
Journey × 24right2up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
Journey from C1right2up
2Multiply by the scale factor.
Journey × 22right4up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 3 with centre C.

APCP′
1Count from C to P.
2Multiply by the scale factor.
3Mark the new corner.
4Draw the new shape.
1Count from C to P.
Journey from C1right1up
2Multiply by the scale factor.
Journey × 33right3up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
Journey from C1right2up
2Multiply by the scale factor.
Journey × 22right4up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
2Multiply by the scale factor.
3Mark the new corner.
4Draw the new shape.
1Count from C to P.
Journey from C1right2up
2Multiply by the scale factor.
Journey × 22right4up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
Journey from C1right2up
2Multiply by the scale factor.
Journey × 22right4up
3Mark the new corner.
4Draw the new shape.

Enlarge shape A by scale factor 2 with centre C.

APCP′
1Count from C to P.
2Multiply by the scale factor.
3Mark the new corner.
4Draw the new shape.
1Count from C to P.
Journey from C2right1up
2Multiply by the scale factor.
Journey × 24right2up
3Mark the new corner.
4Draw the new shape.

Is B an enlargement of A by scale factor 2? Thumbs up or thumbs down.

aABRight
bABWrong: up is not doubled
cABRight
dABWrong: it adds 2 to each side

Enlargement worksheet, page 1

Enlargement worksheet, page 2

Answer sheet

  1. P is the point (3, 2). Enlarge it by scale factor 2 with centre (1, 1). Where does P go?

    (5, 3)

  2. A shape is enlarged by scale factor ½. What happens to every side?

    Every side is half as long.

  3. A square has sides of 3 cm. It is enlarged by scale factor 2. What is its area now?

    36 cm²

  1. Enlarge shape A by scale factor 2. Start at the dot. across2× 2 =4up1× 2 =2

    A

  2. Enlarge shape A by scale factor 2 with centre C. Journey from C2right1upJourney × 24right2up

    APC

  3. Enlarge shape A by scale factor 2 with centre C.

    APC
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