ECZ 2019 · GCE Paper 2 · Question 4 — Construction and Loci
Construction on plain paper.
(a(i)) Construct a triangle JKL in which KL = 8cm, KJ = 6cm and JL = 10cm.[1]
Verified working — step 1
Draw line KL = …(a(ii)) Measure and write angle JLK.[1]
Verified working — step 1
Using a protractor, place the centre on L and the baseline …(b(i)) Draw the locus of points 5cm from J.[1]
Verified working — step 1
With centre J and radius 5 cm, draw a full circle. …(b(ii)) Draw the locus of points 3cm from JL.[1]
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Draw two lines parallel to JL, one on each side, each at a perpendicular distance…(b(iii)) Draw the locus of points equidistant from JK and JL.[2]
Verified working — step 1
Construct the angle bisector of angle KJL: with centre J draw an arc cutting JK and JL, then from these two points draw equal-ra…(c) Indicate by shading the region in which Q must lie (≥5cm from J, ≤3cm from JL, nearer to JK than JL).[2]
Verified working — step 1
Identify the region that satisfies all three conditions: outside (or on) the 5 cm circle centred at J, between (or on) the two …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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