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0580/41 Oct/Nov 2023, Question 1: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 9 marks

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The question, in short

Using the grid with shapes A, B and C, identify single transformations between shapes and draw images of shape A under a reflection and an enlargement.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 2 marks

Describe fully the single transformation mapping shape A onto shape B.

  1. 1(2, −2) → (−5, −3): 7 left and 1 down
  2. 2Translation by column vector (−7, −1)

AnswerTranslation, column vector (−7, −1)

Part (aii) · 3 marks

Describe fully the single transformation mapping shape A onto shape C.

  1. 1Rotation, 90° clockwise
  2. 2Centre (5, 1): e.g. (2, −2) is 3 left, 3 down from (5, 1); its image (2, 4) is 3 left, 3 up
  3. 3Rotation, 90° clockwise, centre (5, 1)

AnswerRotation, 90° clockwise, (5, 1)

Part (bi) · 2 marks

Draw the image of shape A after reflection in the line y = 2.

  1. 1Reflect in y = 2: y → 4 − y, x stays the same
  2. 2(2, −2) → (2, 6), (3, −2) → (3, 6), (3, −4) → (3, 8)

AnswerImage at (2, 6) (3, 6) (3, 8)

Part (bii) · 2 marks

Draw the image of shape A after enlargement, scale factor −2, centre (0, 0).

  1. 1Scale factor −2 from (0, 0): (x, y) → (−2x, −2y)
  2. 2(2, −2) → (−4, 4), (3, −2) → (−6, 4), (3, −4) → (−6, 8)

AnswerImage at (−4, 4) (−6, 4) (−6, 8)

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Also searched as: 0580/41/O/N/23 · 0580_w23_qp_41 · 0580 w23 41 · question 1.
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