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0580/12 Feb/Mar 2022, Question 14: Translation

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

On a grid, triangle A has vertices (1, 1), (4, 2) and (3, 5); draw its image after a reflection and after a translation.

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

Part (a) · 1 mark

Draw the image of triangle A after reflection in the y-axis.

  1. 1Reflect in the y-axis: (x, y) → (−x, y)
  2. 2(1, 1) → (−1, 1), (4, 2) → (−4, 2), (3, 5) → (−3, 5)
  3. 3Draw the triangle (−1, 1), (−4, 2), (−3, 5)

AnswerTriangle at (−1, 1) (−4, 2) (−3, 5)

Part (b) · 2 marks

Draw the image of triangle A after translation by the column vector (−3, −4).

  1. 1Subtract 3 from each x and 4 from each y
  2. 2(1, 1) → (−2, −3), (4, 2) → (1, −2), (3, 5) → (0, 1)
  3. 3Draw the triangle (−2, −3), (1, −2), (0, 1)

AnswerTriangle at (−2, −3) (1, −2) (0, 1)

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Also searched as: 0580/12/F/M/22 · 0580_m22_qp_12 · 0580 m22 12 · question 14.
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