Paper 2 · Bearings and Scale Drawing
Answer the whole of this question on a sheet of plain paper. Use ruler and compasses only for all constructions and show clearly all construction lines and arcs. All constructions should be done on a single diagram. (a) Construct a quadrilateral ABCD in which AB = 8,5 cm, AD = 7 cm, DC = 5 cm, angle ADC = 90 degrees and angle BAD = 60 degrees. [6] (b) Measure and write down the length of BC. [1] (c) Construct the locus of a point (i) that is 4,5 cm from B, (ii) X, on the same side of AD as C, such that the area of triangle ACD = area of triangle AXD. [3] (d) Mark and label X1 and X2, the points that are 4,5 cm from B and are such that the area of triangle AX1D = the area of triangle AX2D. [2]
Model answer
(a) quadrilateral ABCD with AB = 8,5 cm, AD = 7 cm, DC = 5 cm, angle ADC = 90 degrees, angle BAD = 60 degrees; (b) BC = 3,6 cm; (c)(i) a circle of radius 4,5 cm with centre B, (ii) the line through C parallel to AD; (d) X1 and X2 are the two points where that parallel line cuts the circle
Also accepted: 3.6, 3,6, 3.6 cm, 3,6 cm, 3.63, 3,63
ZIMSEC Mathematics 4008/2R, November resit 2014, Q6, via the Topical Collection