ECZ 2011 · O-Level Paper 2 · Question 9 — Geometrical Transformations
Study the diagram below and answer the questions that follow.
(a) Triangle M is mapped onto triangle R by a translation. Write the translation vector.[1]
Verified working — step 1
M has vertices (-2, 2), (-1, 2), (-2, 0); R has (-4, -4), (-3, -4), (-4, -6).(b) Triangle N is mapped onto shaded triangle T by a single transformation. Describe this transformation fully.[2]
Verified working — step 1
N has vertices (-6, 5), (-4, 5), (-6, 1); T has (0, 5), (2, 5), (2, 1).(c) An enlargement maps triangle M onto triangle N. Find
(c(i)) the centre of enlargement,[1]
Verified working — step 1
Join each vertex of M to its image on N and extend the lines.(c(ii)) the scale factor.[2]
Verified working — step 1
Compare a pair of corresponding sides.(d) Shaded triangle P is mapped onto triangle Q with vertices (2, -1), (4, -4) and (4, -5) by a single transformation. Describe this transformation fully.[3]
Verified working — step 1
P has vertices (2, -4), (4, -4), (4, -5).(e) Shaded triangle T is mapped onto triangle U with vertices (0, 5), (5, 5) and (5, 1) by a stretch. Find the matrix of this transformation.[3]
Verified working — step 1
T has vertices (0, 5), (2, 5), (2, 1); U has (0, 5), (5, 5), (5, 1).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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