Paper 2 · Bearings and Scale Drawing
Answer the whole of this question on a sheet of plain paper. Use ruler and compasses only and show clearly all construction lines and arcs. (a) On a single diagram, construct (i) quadrilateral ABCD in which AB = 9 cm, BC = 6 cm, AD = 7.3 cm, DC = 5.5 cm and angle BAD = 45 degrees, (ii) the locus of points equidistant from A and B, (iii) the locus of points 5.7 cm from B. [7] (b) Measure and write down the size of angle ADC. [1] (c) Point P is inside the quadrilateral and is such that it is equidistant from A and B and is 5.7 cm from B. Measure and write down the distance of P from D. [1]
Model answer
(a)(i) quadrilateral ABCD with AB = 9 cm, BC = 6 cm, AD = 7,3 cm, DC = 5,5 cm and angle BAD = 45 degrees; (ii) the perpendicular bisector of AB; (iii) a circle of radius 5,7 cm with centre B; (b) angle ADC = 141 degrees; (c) PD = 1,8 cm
Also accepted: 141, 141 degrees, 141.4, 141,4, about 141 degrees, 1.8, 1,8, 1.8 cm, 1,8 cm, 1.79, 1,79, construction; 141 degrees; 1.8 cm
ZIMSEC Mathematics 4008/2, November 2011, Q6, via the Topical Collection