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0580/22 May/Jun 2026, Question 5: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 7 marks

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The question, in short

Using the grid with shapes A and B, carry out two transformations on A and identify the single transformation linking A to B.

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

Part (ai) · 2 marks

Move shape A by the vector (−2, 5) and draw the resulting shape on the grid.

  1. 1Move each vertex 2 left and 5 up
  2. 2(−4, 2) → (−6, 7), (−2, 2) → (−4, 7), (−2, 0) → (−4, 5), (−3, 0) → (−5, 5)
  3. 3Join the new vertices

AnswerImage at (−6, 7), (−4, 7), (−4, 5), (−5, 5)

Part (aii) · 2 marks

Reflect shape A in the line y = x and draw the resulting shape on the grid.

  1. 1Draw the line y = x
  2. 2Reflect by swapping coordinates: (x, y) → (y, x)
  3. 3(−4, 2) → (2, −4), (−2, 2) → (2, −2), (−2, 0) → (0, −2), (−3, 0) → (0, −3)

AnswerImage at (0, −2), (2, −2), (2, −4), (0, −3)

Part (b) · 3 marks

State fully the one transformation that takes shape A onto shape B.

  1. 1The shape has turned a quarter turn anticlockwise, so rotation 90° anticlockwise
  2. 2Test centre (3, 3): (−4, 2) → (4, −4), (−2, 2) → (4, −2), (−2, 0) → (6, −2)
  3. 3Rotation, 90° anticlockwise, centre (3, 3)

AnswerRotation, 90° anticlockwise, centre (3, 3)

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Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 5.
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