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0580/12 May/Jun 2026, Question 29: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 7 marks

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The question, in short

Using three shapes A, B and C drawn on a coordinate grid, identify transformations between them and draw a translated copy of A.

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

Part (ai) · 2 marks

State the single transformation taking shape A to shape B, giving all details.

  1. 1A vertex (−3, 4) maps to (2, 4); (−6, 1) maps to (5, 1)
  2. 2Mirror line is halfway: x = (−3 + 2)/2 = −0.5
  3. 3Reflection in the line x = −0.5

AnswerReflection in x = −0.5

Part (aii) · 3 marks

State the single transformation taking shape B to shape C, giving all details.

  1. 1B and C share the vertex (2, 4), so it is the centre
  2. 2B's top edge from (2, 4) to (4, 4) maps to C's edge from (2, 4) to (2, 2)
  3. 3That is a turn of 90° clockwise
  4. 4Rotation, 90° clockwise, centre (2, 4)

AnswerRotation, 90° clockwise, centre (2, 4)

Part (b) · 2 marks

Draw shape A's image on the grid after moving it by the vector (1, −3).

  1. 1Move every vertex of A 1 right and 3 down
  2. 2(−5, 4) → (−4, 1), (−3, 4) → (−2, 1), (−4, 3) → (−3, 0)
  3. 3(−4, 1) → (−3, −2), (−6, 1) → (−5, −2)
  4. 4Join the points in the same order as A

AnswerShape with vertices (−2, 1), (−4, 1), (−3, 0), (−5, −2), (−3, −2)

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Also searched as: 0580/12/M/J/26 · 0580_s26_qp_12 · 0580 s26 12 · question 29.
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