Describing enlargements

The Maths Habit Handout to print

  1. A 24 cm side is enlarged by scale factor ¾. How long is the new side?

    18 cm

  2. P (7, 5) is enlarged by scale factor ½, centre (1, 1). Find the coordinates of P′.

    P′ (4, 3)

  3. P (−4, 6) is enlarged by scale factor ⅓, centre (2, 0). Find the coordinates of P′.

    P′ (0, 2)

Sam says shape B is shape A made bigger. What else would you need to be told to draw B exactly?

How many times bigger, and where it is enlarged from

Enlargement

Scale factor

Centre of enlargement

What is the scale factor?

A 3 cm side becomes 6 cm 2

What is the scale factor?

An 8 cm side becomes 4 cm ½

  1. A 4 cm side becomes 12 cm. What is the scale factor?

    3

  2. A 10 cm side becomes 5 cm. What is the scale factor?

    ½

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (1, 1)

12345678123456780AB

Describe fully the transformation from A to B. Enlargement, scale factor 3, centre (0, 2)

123456781234567890AB

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (1, 1)

12345678123456780AB

Describe fully the transformation from A to B. Enlargement, scale factor ½, centre (0, 0)

123456712345670AB

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (1, 1)

12345678123456780AB

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (7, 0)

123456712345670AB

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (1, 1)

12345678123456780AB

Describe fully the transformation from A to B. Enlargement, scale factor ⅓, centre (1, 4)

123456712345670AB

Describe fully the transformation from A to B. Enlargement, scale factor 2, centre (1, 1)

12345678123456780AB

Describe fully the transformation from A to B. Enlargement, scale factor 3, centre (1, 0)

123456712345670AB

Describing enlargements worksheet, page 1

Answer sheet

  1. B is an enlargement of A. The perimeter of A is 12 cm and the perimeter of B is 30 cm. What is the scale factor?

    2.5

  2. A (1, 2) goes to A′ (5, 4) and B (2, 2) goes to B′ (8, 4). Find the scale factor and the centre.

    3, centre (−1, 1)

  1. An 18 cm side becomes 6 cm. Find the scale factor.

    13

  2. Describe fully the transformation from A to B.

    Enlargement, scale factor 2,
    centre (1, 0)
    AB1234560123456

  3. Centre (0, 1): P (3, 4) goes to P′ (1, 2). Find the scale factor.

    13
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