ECZ 2017 · GCE Paper 2 · Question 5 — Construction and Loci
Construction: answer on plain paper.
(a(i)) Construct triangle PQR in which PQ is 9cm, angle PQR = 60° and QR = 10cm.[1]
Verified working — step 1
Draw line QR = …(a(ii)) Measure and write the length of PR.[1]
Verified working — step 1
Using a ruler, measure the length of line PR on your acc…(b(i)) Draw the locus of points within triangle PQR which are 3cm from PQ.[1]
Verified working — step 1
Using a ruler and set square (or compasses), draw a line parallel to PQ, at a perpendicular dis…(b(ii)) Draw the locus of points within triangle PQR which are 7cm from R.[1]
Verified working — step 1
Open compasses to a radius of 7cm. With centre R, draw an arc that passes thr…(b(iii)) Draw the locus of points equidistant from P and R.[2]
Verified working — step 1
Construct the perpendicular bisector of PR: with compasses set to more than half of PR, draw arcs from P and from R that intersect a…(c) Shade the region in which M must lie (nearer to R than P, ≤7cm from R, ≤3cm from PQ).[2]
Verified working — step 1
On the same diagram, identify the region that satisfies all three conditions: on the R-side of the perpendicular bisector of PR (nearer to R than P), inside o…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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