ECZ 2018 · GCE Paper 2 · Question 4 — Construction and Loci
Answer the whole of this question on a sheet of plain paper.
(a(i)) Construct triangle PQR in which PQ = 10 cm, QR = 8 cm and angle PQR = 50°.[1]
Verified working — step 1
Draw QR = 8 cm.(a(ii)) Measure and write the length of PR.[1]
Verified working — step 1
Measure PR on the finished …(b) On your diagram, within triangle PQR, construct the locus of points which are
(b(i)) equidistant from P and Q,[1]
Verified working — step 1
Equidistant from the two POINTS P and Q…(b(ii)) equidistant from PR and PQ,[2]
Verified working — step 1
Equidistant from the two lines PR and PQ, me…(b(iii)) 5 cm from R.[1]
Verified working — step 1
The locus 5 cm from R is an …(c) A point T within triangle PQR is such that it is 5 cm from R and equidistant from P and Q. Label the point T.[1]
Verified working — step 1
T must satisfy b…(d) Another point X is such that it is less than or equal to 5 cm from R, nearer to Q than P and nearer to PQ than PR. Indicate clearly, by shading, the region in which X must lie.[2]
Verified working — step 1
At most 5 cm from R: inside or on the arc from (b)(iii).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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question