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4024/21 Oct/Nov 2023, Question 2: Describing Transformations

Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 5 marks

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The question, in short

Grid with triangles A and B and a vertical line R; give R's equation, reflect A in R, and fully describe the single transformation taking A to B.

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

Part (ai) · 1 mark

State the equation of the vertical line R shown on the grid.

  1. 1Line R is the vertical line through x = 2
  2. 2x = 2

Answerx = 2

Part (aii) · 1 mark

Draw the reflection of triangle A across line R.

  1. 1Each point moves to the same distance on the other side of x = 2
  2. 2(−2, 4) → (6, 4), (−1, 4) → (5, 4), (−1, 2) → (5, 2)
  3. 3Draw the triangle (5, 2), (5, 4), (6, 4)

AnswerCorrect reflection (5, 2), (5, 4), (6, 4)

Part (b) · 3 marks

Give the complete single transformation that carries triangle A onto triangle B.

  1. 1A (−2, 4), (−1, 4), (−1, 2) → B (−4, −2), (−4, −1), (−2, −1): each (x, y) → (−y, x)
  2. 2Rotation, 90° anticlockwise, centre (0, 0)

AnswerRotation 90° anticlockwise (0, 0)

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Also searched as: 4024/21/O/N/23 · 4024_w23_qp_21 · 4024 w23 21 · question 2.
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