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0580/33 May/Jun 2021, Question 10: Describing Transformations

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 10 marks

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The question, in short

Using the grid with triangles T, A, B and C, carry out a translation of T and identify the single transformations mapping T onto A, B and C.

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

Part (a) · 2 marks

Draw triangle T moved by the vector (2, −5) on the grid.

  1. 1Add 2 to each x and −5 to each y: (2, 1) → (4, −4), (4, 1) → (6, −4), (2, 4) → (4, −1)
  2. 2Draw the triangle with vertices (4, −4), (6, −4), (4, −1)

AnswerTriangle at (4, −4), (6, −4), (4, −1)

Part (bi) · 2 marks

Describe the single transformation taking triangle T to triangle A.

  1. 1(x, y) → (−x, y), e.g. (4, 1) → (−4, 1)
  2. 2Reflection in x = 0 (the y-axis)

AnswerReflection in x = 0

Part (bii) · 3 marks

Describe the single transformation taking triangle T to triangle B.

  1. 1(x, y) → (−x, −y), e.g. (2, 4) → (−2, −4)
  2. 2Rotation, 180°, centre (0, 0)

AnswerRotation, centre (0, 0), 180°

Part (biii) · 3 marks

Describe the single transformation taking triangle T to triangle C.

  1. 1Sides of C are half as long: (2, 1) → (1, 0.5), (2, 4) → (1, 2)
  2. 2Each coordinate is halved, so the centre is the origin
  3. 3Enlargement, centre (0, 0), scale factor 1/2

AnswerEnlargement, centre (0, 0), scale factor 1/2

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Also searched as: 0580/33/M/J/21 · 0580_s21_qp_33 · 0580 s21 33 · question 10.
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