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 degrees and angle ABC = 35 degrees.[1]
Verified working — step 1
Draw AB = …(a(ii)) Measure and write the length of BC.[1]
Verified working — step 1
The third angle is 180 - 110 - 35 = …(b(i)) Within the triangle ABC, construct the locus of points which are 3 cm from AB.[1]
Verified working — step 1
Erect perpendiculars to AB, mark 3 cm along …(b(ii)) Within the triangle ABC, construct 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…(b(iii)) Within the triangle ABC, construct the locus of points which are 4 cm from A.[1]
Verified working — step 1
Set compasses to 4 cm with centre 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: on the far side of the parallel line from (b)(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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