ECZ 2017 · O-Level Paper 2 · Question 3 — Construction and Loci
Question from ECZ 2017 · O-Level Paper 2 · Question 3
(a) Construct a quadrilateral ABCD in which AB = 10 cm, angle ABC = 120°, angle BAD = 60°, BC = 7 cm and AD = 11 cm.[1]
Verified working — step 1
Draw AB = 10 cm.(b) Measure and write the length of CD.[1]
Verified working — step 1
Measure CD on the finished …(c) Within the quadrilateral ABCD, draw the locus of points which are
(c(i)) 8 cm from A,[1]
Verified working — step 1
The locus 8 cm from A is an …(c(ii)) equidistant from BC and CD.[2]
Verified working — step 1
BC and CD meet at C, so points equidistant …(d) A point P, within the quadrilateral ABCD, is such that it is 8 cm from A and equidistant from BC and CD. Label point P.[1]
Verified working — step 1
P must satisfy b…(e) Another point Q, within the quadrilateral ABCD, is such that it is nearer to CD than BC and greater than or equal to 8 cm from A. Indicate, by shading, the region in which Q must lie.[2]
Verified working — step 1
Nearer to CD than BC: the CD 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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