ECZ 2021 · O-Level Paper 2 · Question 6 — Construction and Loci
Question from ECZ 2021 · O-Level Paper 2 · Question 6
(a(i)) Construct triangle ABC in which AB = 6 cm, BC = 9 cm and AC = 5 cm.[1]
Verified working — step 1
Draw BC = …(a(ii)) Measure and write the size of angle ABC.[1]
Verified working — step 1
By the cosine rule:(b(i)) Within the triangle ABC, draw the locus of points which are equidistant from A and C.[1]
Verified working — step 1
Points equidistant from two fixed points lie on the…(b(ii)) Within the triangle ABC, draw the locus of points which are 3 cm from A.[1]
Verified working — step 1
Set compasses to 3 cm with centre A …(b(iii)) Within the triangle ABC, draw the locus of points which are equidistant from AC and BC.[2]
Verified working — step 1
Points equidistant from two intersecting lines lie on the b…(c) A point P, within triangle ABC, is such that it is less than or equal to 3 cm from A, nearer to BC than AC and closer to A than to C. Indicate clearly by shading, the region in which P must lie.[2]
Verified working — step 1
At most 3 cm from A: inside the arc from (b)(ii).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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