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0580/12 Feb/Mar 2024, Question 18: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 5 marks

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The question, in short

Using the grid with shapes A and B, identify the single transformation linking A to B, then plot A's reflection across x = −1.

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

Part (a) · 3 marks

State the one transformation, with all its details, that carries shape A onto shape B.

  1. 1(x, y) → (−y, x): e.g. (−7, 1) → (−1, −7), (−3, 1) → (−1, −3), (−6, 3) → (−3, −6)
  2. 2Rotation, centre (0, 0), 90° anticlockwise

AnswerRotation, centre (0, 0), 90° anticlockwise

Part (b) · 2 marks

Plot the new shape produced by reflecting shape A in the vertical line x = −1.

  1. 1Draw the line x = −1; each point moves to the same distance on the other side (x → −2 − x)
  2. 2(−7, 1) → (5, 1), (−3, 1) → (1, 1), (−3, 2) → (1, 2), (−5, 2) → (3, 2)
  3. 3(−5, 3) → (3, 3), (−6, 3) → (4, 3), (−6, 2) → (4, 2), (−7, 2) → (5, 2)
  4. 4Join these points to draw the image

AnswerShape drawn correctly

Stuck on a step? Read the free lesson: Describing Transformations

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Also searched as: 0580/12/F/M/24 · 0580_m24_qp_12 · 0580 m24 12 · question 18.
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