ECZ 2015 · O-Level Paper 2 · Question 5 — Construction and Loci
Question from ECZ 2015 · O-Level Paper 2 · Question 5
(a) Construct triangle ABC in which AB = 11 cm, angle BAC = 60° and AC = 6 cm.[1]
Verified working — step 1
Draw AB = 11 cm.(b) Measure and write the length BC.[1]
Verified working — step 1
Measure BC on the finished …(c) On your diagram, draw the locus of points within triangle ABC which are
(c(i)) equidistant from AB and AC,[1]
Verified working — step 1
AB and AC meet at A, so points equidistant …(c(ii)) equidistant from A and B.[1]
Verified working — step 1
Equidistant from the two POINTS A and B…(d) R is a point inside the triangle ABC such that it is equidistant from AB and AC and equidistant from A and B. Label point R.[2]
Verified working — step 1
R must satisfy b…(e) Another point S within triangle ABC is such that it is nearer to AB than AC and nearer to A than B. Indicate clearly, by shading, the region in which S must lie.[2]
Verified working — step 1
Nearer to AB than AC: the AB side of the angle-A bisector.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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