ECZ 2023 · GCE Paper 2 · Question 4 — Construction and Loci
Question from ECZ 2023 · GCE Paper 2 · Question 4
(a(i)) Construct a triangle KLM in which KL = 10 cm, LM = 7 cm and angle KLM = 120°.[1]
Verified working — step 1
Draw LM = 7 cm.(a(ii)) Measure and write the length KM.[1]
Verified working — step 1
Measure KM with a ruler on the finished construction: KM = …(b) Within triangle KLM, draw the locus of points which are
(b(i)) 5.5 cm from M,[1]
Verified working — step 1
The locus 5.5 cm from the point M is a…(b(ii)) 1 cm from LM,[1]
Verified working — step 1
The locus 1 cm from the line LM is a line pa…(b(iii)) equidistant from M and L.[2]
Verified working — step 1
Points equidistant from M and L lie …(c) A point P, within triangle KLM, is such that it is less than or equal to 5.5 cm from M, greater than or equal to 1 cm from LM and nearer to L than M. Indicate clearly, by shading, the region in which P must lie.[2]
Verified working — step 1
At most 5.5 cm from M: on or inside the arc 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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