Paper 2 · November 2016 (topical set) · Bearings and Scale Drawing
Use ruler and compasses only for all constructions and show clearly all the construction lines and arcs. (a) On a single diagram, construct (i) triangle PQR in which PR = 9 cm, PQ = 7 cm and angle QPR = 45 degrees, [3] (ii) the locus of points which are equidistant from PQ and PR, [2] (iii) the locus of points which are equidistant from P and Q, [2] (iv) mark and label clearly, the point X which is equidistant from PQ and PR and is also equidistant from P and R. [1] (b) Measure and write down (i) the length of XR, [1] (ii) angle PRQ. [1]
Model answer
(a)(i) triangle PQR with PR = 9 cm, PQ = 7 cm, angle QPR = 45 degrees; (ii) the bisector of angle QPR; (iii) the perpendicular bisector of PQ; (iv) X is where the bisector of angle QPR meets the perpendicular bisector; (b)(i) XR = 4,9 cm taking X on the perpendicular bisector of PR, or 5,7 cm taking X on the perpendicular bisector of PQ; (ii) angle PRQ = 51 degrees
Also accepted: 4.9, 4,9, 4.9 cm, 4,9 cm, 4.87, 4,87, 5.7, 5,7, 5.7 cm, 5,7 cm, 5.69, 5,69, 51, 51 degrees, 50.7, 50,7, about 51 degrees, 5.7 cm; 51
ZIMSEC Mathematics 4030/2, November 2016, Q5, via the Topical Collection