ECZ 2021 · O-Level Paper 1 — Geometrical Transformations
The diagram below shows triangle A which is mapped onto triangle B by a single transformation P. Describe fully the transformation P.
- A. Translation by 44
- B. Rotation through 90° about (12, 0)
- C. Reflection in the x-axis
- D. Reflection in the line y = -x
Verified working — step 1
Triangle A has vertices (−1, −1), (−1, −3), (−3, −1) and maps onto triangle B at (1, 1), (1, 3), (3, 1). The image has the opposite orientation to the object (object clockwise, image anticlockwise), so the transformation is a reflection, not a rotation. The mirror line that sends (−1,−1)→(1,1), (−1,−3)→(3,1) and (−3,−1)→(1,3) is y = −x, since a reflection in y = …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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