ECZ 2022 · O-Level Paper 2 · Question 5 — Construction and Loci
Question from ECZ 2022 · O-Level Paper 2 · Question 5
(a) Construct a parallelogram ABCD in which AB = 10 cm, AD = BC = 6.5 cm, angle BAD = 110° and angle ABC = 70°.[1]
Verified working — step 1
Draw AB = 10 cm.(b) Measure and write the length AC.[1]
Verified working — step 1
Measure AC with a ruler on the finished construction: AC = …(c) Within parallelogram ABCD, construct the locus of points which are
(c(i)) 3 cm from AB,[1]
Verified working — step 1
The locus 3 cm from the line AB is a line para…(c(ii)) 6 cm from C,[1]
Verified working — step 1
The locus 6 cm from the point C is a…(c(iii)) equidistant from BC and CD.[2]
Verified working — step 1
BC and CD meet at C, so points equidistant …(d) A point Z, within parallelogram ABCD, is such that it is less than or equal to 3 cm from AB, less than or equal to 6 cm from C and nearer to CD than BC. Indicate clearly, by shading, the region in which Z must lie.[2]
Verified working — step 1
At most 3 cm from AB: between AB and the parallel line from (c)(i).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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