ECZ 2012 · O-Level Paper 1 — Geometrical Transformations
Triangle A has vertices (1, 3), (3, 3) and (3, 5). It is transformed by a shear with invariant line y = 2 and shear factor -2. What are the vertices of the image B?
- A. (3, 3), (5, 3), (7, 5)
- B. (-1, 3), (1, 3), (-3, 5)
- C. (1, 1), (3, 1), (3, 3)
- D. (-1, 3), (1, 3), (3, 5)
Verified working — step 1
A shear with invariant line y = 2 and factor k sends (x, y) to (x + k(y - 2), y). With k = -2: (1, 3) -> (1 - 2, 3) = (-1, 3); (3, 3) -> (1, 3); (3, 5) -> (3 - 6, 5) = …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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