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 all the construction lines and arcs. (a) Construct on a single diagram (i) quadrilateral ABCD in which AB = 8 cm, angle ABC = 90 degrees, angle BCD = 120 degrees, BC = 10 cm, and CD = 5 cm, [6] (ii) the locus of points equidistant from B and C, [2] (iii) the locus of points equidistant from DC and DA. [2] (b) (i) Mark and label the point P which is equidistant from B and C and equidistant from DC and DA. [1] (ii) Draw a circle with centre P and radius PC. [1] (iii) Measure and write down the length of PC. [1]
Model answer
(a)(i) quadrilateral ABCD with AB = 8 cm, angle ABC = 90 degrees, BC = 10 cm, angle BCD = 120 degrees, CD = 5 cm; (ii) the perpendicular bisector of BC; (iii) the bisector of angle ADC; (b)(i) P is where the two loci cross, (ii) the circle centre P through C, (iii) PC = 5,2 cm
Also accepted: 5.2, 5,2, 5.2 cm, 5,2 cm, 5.17, 5,17, PC = 5,2 cm
ZIMSEC Mathematics 4028/2, June 2010, Q6, via the Topical Collection