ECZ 2019 · GCE Paper 2 · Question 4 — Construction and Loci
Question from ECZ 2019 · GCE Paper 2 · Question 4
(a(i)) Construct a triangle JKL in which KL = 8 cm, KJ = 6 cm and JL = 10 cm.[1]
Verified working — step 1
Draw the base KL = 8 cm.(a(ii)) Measure and write angle JLK.[1]
Verified working — step 1
Place the protractor centre on L with the baseline along LK.(b) Within the triangle JKL, draw the locus of points which are
(b(i)) 5 cm from J,[1]
Verified working — step 1
The locus of points 5 …(b(ii)) 3 cm from JL,[1]
Verified working — step 1
The locus 3 cm from the line JL i…(b(iii)) equidistant from JK and JL.[2]
Verified working — step 1
Equidistant from two lines meeting a…(c) A point Q, within triangle JKL, is such that it is greater than or equal to 5 cm from J, less than or equal to 3 cm from JL and nearer to JK than to JL. Indicate by shading the region in which Q must lie.[2]
Verified working — step 1
Outside or on the 5 cm circle from J (at least 5 cm from J).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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