ECZ 2019 · O-Level Paper 2 · Question 5 — Construction and Loci
Question from ECZ 2019 · O-Level Paper 2 · Question 5
(a(i)) Construct triangle ABC in which AB = 8 cm, angle BAC = 110° and angle ABC = 35°.[1]
Verified working — step 1
Draw AB = 8 cm.(a(ii)) Measure and write the length of BC.[1]
Verified working — step 1
Measure BC with a ruler on the finished construction: BC = …(b) Within the triangle ABC, construct the locus of points which are
(b(i)) 3 cm from AB,[1]
Verified working — step 1
The locus 3 cm from the line AB is a line pa…(b(ii)) equidistant from AC and BC,[2]
Verified working — step 1
AC and BC meet at C, so points equidistant …(b(iii)) 4 cm from A.[1]
Verified working — step 1
The locus 4 cm from the point A is a…(c) A point Q inside triangle ABC is greater than or equal to 3 cm from AB, less than or equal to 4 cm from A and nearer to AC than BC. Indicate clearly, by shading, the region in which Q must lie.[2]
Verified working — step 1
At least 3 cm from AB: beyond the parallel line from (b)(i), away from AB.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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