ECZ 2015 · O-Level Paper 1 — Geometrical Transformations
In the diagram, triangle ABC with A(1, 5), B(1, 2) and C(2, 2) is mapped onto triangle A₁B₁C₁ with A₁(5, 4), B₁(5, 1) and C₁(4, 1) by transformation X followed by transformation Y. Describe fully the transformations X and Y.
- A. X: reflection in the line x = 3; Y: translation 0-1
- B. X: translation 4-1; Y: no further transformation
- C. X: reflection in the line y = 3; Y: translation 0-1
- D. X: rotation of 180° about (3, 3); Y: translation 0-1
Verified working — step 1
The orientation of the triangle reverses, so a reflection is involved. Reflecting ABC in the vertical 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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