ECZ 2018 · GCE Paper 1 — Geometrical Transformations
In the diagram, triangle ABC has vertices A(1, 3), B(1, 1) and C(4, 1). It is mapped onto triangle STU with vertices S(−4, −6), T(−4, −4) and U(−1, −4) by a combined transformation. Name the two transformations that map triangle ABC onto triangle STU.
- A. A reflection in the x-axis followed by a translation by [−5; −3]
- B. A rotation of 180° about the origin followed by a translation by [−3; −5]
- C. A reflection in the y-axis followed by a translation by [−5; −3]
- D. A rotation of 90° clockwise about the origin followed by a translation by [−5; −3]
Verified working — step 1
Triangle STU has the same size as ABC but its orientation is flipped, so one transformation is a reflection. Reflecting ABC in the x-axis sends A(1,3)→(1,−3), B(1,1)→(1,−1), C(4,1)→(4,−1). Translating by [−5; −3] then gives (−4,−6) = S, (−4,−4) = T, (−1,−4) = …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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