ECZ 2017 · GCE Paper 2 · Question 5 — Construction and Loci
Question from ECZ 2017 · GCE Paper 2 · Question 5
(a(i)) Construct triangle PQR in which PQ is 9 cm, angle PQR = 60° and QR = 10 cm.[1]
Verified working — step 1
Draw QR = 10 cm.(a(ii)) Measure and write the length of PR.[1]
Verified working — step 1
Measure PR on the finished …(b) On your diagram, draw the locus of points within triangle PQR which are
(b(i)) 3 cm from PQ,[1]
Verified working — step 1
The locus 3 cm from the line…(b(ii)) 7 cm from R,[1]
Verified working — step 1
The locus 7 cm from R is an …(b(iii)) equidistant from P and R.[2]
Verified working — step 1
Equidistant from the two POINTS P and R…(c) A point M, within triangle PQR, is such that it is nearer to R than P, less than or equal to 7 cm from R and less than or equal to 3 cm from PQ. Shade the region in which M must lie.[2]
Verified working — step 1
Nearer to R than P: the R side of the perpendicular bisector of PR.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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