ECZ 2015 · GCE Paper 2 · Question 4 — Construction and Loci
Answer the whole of this question on a sheet of plain paper.
(a) Construct triangle ABC in which AB = 10 cm, AC = 8 cm and BC = 5 cm.[1]
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Draw AB = 10 cm.(b) Measure and write angle ACB.[1]
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Measure angle ACB with a prot…(c) On your diagram, draw the locus of points which are
(c(i)) 7 cm from A,[1]
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The locus 7 cm from A i…(c(ii)) equidistant from AC and BC.[1]
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AC and BC meet at C, so points equidistant …(d) T is a point inside triangle ABC such that it is 7 cm from A and is equidistant from AC and BC. Label point T.[2]
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T must satisfy b…(e) Another point Q, inside triangle ABC, is such that it is nearer to BC than to AC and is less than 7 cm from A. Shade the region in which point Q lies.[2]
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Nearer to BC than AC: the BC side of the angle-C bisector.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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