ECZ 2014 · O-Level Paper 1 — Geometrical Transformations

The diagram shows two shapes ABCD and PQRS on an XOY plane. Describe fully the single transformation which maps ABCD onto PQRS.

Diagram for ECZ 2014 · O-Level Paper 1
  • A. Rotation of 90° anticlockwise about (−1, 2)
  • B. Rotation of 90° clockwise about (−1, 2)
  • C. Rotation of 90° anticlockwise about the origin
  • D. Rotation of 180° about (−1, 2)

Verified working — step 1

A(2, 2) maps to P(−1, 5) and B(3, 2) to Q(−1, 6): the horizontal edge AB becomes the vertical edge PQ, turned anticlockwise. Solving −1 = a − (2 − b) and 5 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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