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

Check ORIENTATION first: STU's lettering runs the opposite way to ABC's, and only a reflection flips a shape. Then chase one vertex for the slide.

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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