ECZ 2016 · GCE Paper 2 · Question 4 — Construction and Loci
Answer the whole of this question on a sheet of plain paper.
(a) Construct triangle PQR in which PQ = 10cm, PR = 8.5cm and QR = 9cm.[1]
Verified working — step 1
Draw PQ = …(b) Measure and write the size of PRQ.[1]
Verified working — step 1
Using a protractor at R, measure the an…(c(i)) On your diagram, draw the locus of points 5.5cm from P.[1]
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With centre P and radius 5.5 cm, draw a circle. …(c(ii)) Draw the locus of points equidistant from P and R.[1]
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Construct the perpendicular bisector of PR (equal arcs from P and R crossing above…(c(iii)) Draw the locus of points equidistant from PR and PQ.[2]
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Construct the bisector of angle QPR (arc from P cutting PQ and PR, then equal arcs from …(d) Indicate by shading the region in which S must lie (≤5.5cm from P, nearer P than R, nearer PR than PQ).[2]
Verified working — step 1
Shade the region that is: inside the 5.5 cm circle from P, on P's side of the perpendicular bisector of…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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