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0580/33 Oct/Nov 2025, Question 21: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 5 marks

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The question, in short

Using the grid showing shapes A and B, identify the single transformation taking A to B, then plot A's reflection across y = 0.

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. 1A is turned a quarter turn, so it is a rotation
  2. 2(−4, 2) → (2, 4), (−2, 2) → (2, 2), (−1, 3) → (3, 1): (x, y) → (y, −x)
  3. 3That is a rotation of 90° clockwise about (0, 0)
  4. 4Rotation, centre (0, 0), 90° clockwise

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

Part (b) · 2 marks

Draw on the grid the result of reflecting shape A in the line y = 0.

  1. 1y = 0 is the x-axis: keep x, change the sign of y
  2. 2(−4, 2) → (−4, −2), (−2, 2) → (−2, −2)
  3. 3(−1, 3) → (−1, −3), (−3, 3) → (−3, −3)
  4. 4Join the four image points

AnswerPoints plotted at (−4, −2), (−2, −2), (−3, −3), (−1, −3)

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Also searched as: 0580/33/O/N/25 · 0580_w25_qp_33 · 0580 w25 33 · question 21.
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