ECZ 2017 · GCE Paper 1 — Geometrical Transformations
The diagram shows two triangles ABC and A′B′C′ on the XOY plane: A(−4½, 1½), B(−2, 3), C(−½, 1½) and A′(6½, 1½), B′(4, 3), C′(2½, 1½). Describe fully the single transformation that maps triangle ABC onto triangle A′B′C′.
- A. A translation by [8; 0]
- B. A reflection in the line x = 1
- C. A rotation of 180° about (1, 0)
- D. A reflection in the y-axis
Verified working — step 1
The image is flipped left-to-right (A, the leftmost vertex, maps to A′, the rightmost), so it is a reflection in a vertical line. Each point and its image are equidistant from that line: midpoints of AA′, BB′ and CC′ all have x = 1. The transformation is a reflection in the line x = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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