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0580/33 May/Jun 2024, Question 3: Describing Transformations

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

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The question, in short

Use the grid to enlarge a trapezium by scale factor 3, then work with triangles A, B, C and T and point P on a coordinate grid.

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

Part (a) · 2 marks

On the grid, draw the trapezium enlarged by scale factor 3.

  1. 1Multiply every length by 3
  2. 2Bottom side 6 × 3 = 18 squares, top side 2 × 3 = 6 squares, height 2 × 3 = 6 squares
  3. 3Top side starts 1 × 3 = 3 squares in from the left end of the bottom side

AnswerCorrect enlargement

Part (bi) · 1 mark

State the coordinates of point P marked on the grid.

  1. 1Read across then up: P = (4, 3)

Answer(4, 3)

Part (biia) · 2 marks

Fully describe the single transformation mapping triangle T onto triangle A.

  1. 1(2, 1) → (−4, 1) and (4, 1) → (−6, 1): midpoints on x = −1
  2. 2Reflection in the line x = −1

AnswerReflection x = −1

Part (biib) · 2 marks

Fully describe the single transformation mapping triangle T onto triangle B.

  1. 1(2, 4) → (5, −1): 3 right, 5 down
  2. 2Translation by the column vector (3, −5)

AnswerTranslation column vector (3, −5)

Part (biic) · 3 marks

Fully describe the single transformation mapping triangle T onto triangle C.

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

AnswerRotation (0, 0) 180°

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Also searched as: 0580/33/M/J/24 · 0580_s24_qp_33 · 0580 s24 33 · question 3.
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