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0580/13 May/Jun 2023, Question 23: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 5 marks

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The question, in short

Using shapes A, B and C drawn on a 1 cm² grid, describe fully the single transformation mapping A onto B and A onto C.

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

Part (a) · 3 marks

Describe fully the single transformation that maps shape A onto shape B.

  1. 1Shape B is the same size as A but turned through a right angle
  2. 2Corner (−3, 3) stays fixed, so it is the centre
  3. 3(−6, 3) → (−3, 6): turning 90° clockwise about (−3, 3)
  4. 4Rotation, centre (−3, 3), 90° clockwise

AnswerRotation, centre (−3, 3), 90° clockwise

Part (b) · 2 marks

Describe fully the single transformation that maps shape A onto shape C.

  1. 1(−6, 3) → (1, 1): 7 right and 2 down
  2. 2Translation by column vector (7, −2)

AnswerTranslation by column vector (7, −2)

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Also searched as: 0580/13/M/J/23 · 0580_s23_qp_13 · 0580 s23 13 · question 23.
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