Paper 2 · Bearings and Scale Drawing
Answer the whole of this question on a sheet of plain paper. Use ruler and pair of compasses only for all constructions and show clearly all the construction lines and arcs. (a) On a single diagram, construct (i) trapezium ABCD in which AB = 8,5 cm, angle ABC = 120 degrees, BC = 6 cm, CD = 12 cm and AB is parallel to DC, (ii) the locus of points which are equidistant from C and D, (iii) the circle of which CD is the diameter. [7] (b) Measure and write down angle CBD. [1] (c) CD satisfies a certain locus. Describe this locus fully. [2]
Model answer
(a)(i) trapezium ABCD with AB = 8,5 cm, angle ABC = 120 degrees, BC = 6 cm, CD = 12 cm and AB parallel to DC; (ii) the perpendicular bisector of CD; (iii) the circle on CD as diameter; (b) angle CBD = 90 degrees; (c) DC is the locus of points 5,2 cm from the line AB, on the same side of AB as C and D
Also accepted: 90, 90 degrees, the locus of points 5,2 cm from AB, points 5.2 cm from AB on the same side as C and D, the locus of points a constant distance of 5,2 cm from the line AB
ZIMSEC Mathematics 4008/2, June 2012, Q4, via the Topical Collection