ECZ 2016 · O-Level Paper 2 · Question 4 — Construction and Loci
Question from ECZ 2016 · O-Level Paper 2 · Question 4
(a(i)) Construct a triangle ABC where AB = BC = CA = 7 cm.[1]
Verified working — step 1
Draw AB = 7 cm.(a(ii)) Measure and write the size of angle CAB.[1]
Verified working — step 1
All three sides are equal, so triangle ABC is equilateral.(b) Within the triangle ABC, construct the locus of points
(b(i)) equidistant from AB and BC,[1]
Verified working — step 1
AB and BC meet at B, so points equidistant …(b(ii)) 4 cm from B,[1]
Verified working — step 1
The locus 4 cm from B is an …(b(iii)) 3 cm from AB.[2]
Verified working — step 1
The locus 3 cm from the line…(c) A point R, within triangle ABC, is such that it is nearer to BC than AB, less than 3 cm from AB and less than 4 cm from B. Shade the region in which R must lie.[2]
Verified working — step 1
Nearer to BC than AB: the BC side of the angle-B 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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