Question

8.(a) Using ruler and a pair of compasses only, construct:
(i) a trapezium PQRS such that |PQ| = 6.8cm, ∠PQR = 120°, QR//PS, |PS| = 10.6cm and |PR| = 9.3cm;
(ii) locus l₁ of points equidistant from P and R;
(iii) locus l₂ of points equidistant from Q and R.
8.(b) Measure:
(i) |QR|; (ii) ∠PSR; (iii) |QY|, where Y is the point of intersection of l₁ and l₂.

Accepted Answer

This is a construction exercise to be carried out with ruler and compasses. l₁ is the perpendicular bisector of PR; l₂ is the perpendicular bisector of QR; Y is their intersection point. Measured values of |QR|, ∠PSR and |QY| should be read directly from the accurate scale drawing.

WAEC Mathematics 2018 Theory — Question 13

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