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. (a) On a single diagram, construct (i) quadrilateral WXYZ in which WX = 5,3 cm, angle WXY = 120 degrees, XY = 5 cm, YZ = 9,1 cm and WZ = 8,5 cm, (ii) the locus of points which are equidistant from 1. W and Y, 2. X and Z. [7] (b) Mark and label clearly, the point O, inside the quadrilateral WXYZ, which is equidistant from W, X, Y and Z. [1] (c) (i) Draw a circle centre O and radius OX. (ii) Measure and write down the radius of the circle. [2] (d) State the special name given to quadrilateral WXYZ. [1]
Model answer
(a)(i) quadrilateral WXYZ with WX = 5,3 cm, angle WXY = 120 degrees, XY = 5 cm, YZ = 9,1 cm, WZ = 8,5 cm; (ii)1. the perpendicular bisector of WY, 2. the perpendicular bisector of XZ; (b) O is where those two perpendicular bisectors cross; (c)(ii) radius = 5,1 cm; (d) a cyclic quadrilateral
Also accepted: cyclic quadrilateral, a cyclic quadrilateral, 5.1, 5,1, 5.1 cm, 5,1 cm, 5.2, 5,2, 5.2 cm, 5,1 cm; cyclic quadrilateral
ZIMSEC Mathematics 4028/2, June 2014, Q6, via the Topical Collection