ECZ 2014 · O-Level Paper 2 · Question 4 — Construction and Loci
Question from ECZ 2014 · O-Level Paper 2 · Question 4
(a(i)) Construct triangle ABC in which AC = 11.5 cm, BC = 7 cm and AB = 9.5 cm.[1]
Verified working — step 1
Draw AC = 11.5 cm.(a(ii)) Measure and write the size of angle ABC.[1]
Verified working — step 1
Measure angle ABC with a prot…(b) On the same diagram and within triangle ABC, construct the locus of points
(b(i)) equidistant from AC and BC,[1]
Verified working — step 1
AC and BC meet at C, so points equidistant …(b(ii)) 7.5 cm from A,[1]
Verified working — step 1
The locus 7.5 cm from A is an…(b(iii)) 2.5 cm from AC.[2]
Verified working — step 1
The locus 2.5 cm from the line AC is a line parallel to AC.(c) Given that N is a point within triangle ABC such that it is greater than or equal to 7.5 cm from A, nearer to AC than BC and less than or equal to 2.5 cm from AC, shade clearly the region in which N must lie.[2]
Verified working — step 1
At least 7.5 cm from A: OUTSIDE or on the arc from (b)(ii).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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