ECZ 2012 · O-Level Paper 2 · Question 4 — Construction and Loci
Question from ECZ 2012 · O-Level Paper 2 · Question 4
(a) Construct triangle PQR in which PQ = 10 cm, PR = 7 cm and QR = 8 cm.[1]
Verified working — step 1
Draw PQ = 10 cm.(b) Measure and write the size of angle PRQ.[1]
Verified working — step 1
Measure angle PRQ with a prot…(c) On your diagram, draw the locus of points within the triangle which are
(c(i)) equidistant from Q and R,[1]
Verified working — step 1
Equidistant from the two POINTS Q and R…(c(ii)) 5 cm from R.[1]
Verified working — step 1
The locus 5 cm from R is an …(d) T is a point inside the triangle PQR such that it is 5 cm from R and equidistant from Q and R. Label the point T.[2]
Verified working — step 1
T must satisfy b…(e) Another point B within the triangle PQR is nearer to Q than R and greater than or equal to 5 cm from R. Indicate clearly, by shading, the region in which B must lie.[2]
Verified working — step 1
Nearer to Q than R: the Q side of the perpendicular bisector of QR.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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