Mathematics WAEC / WASSCE 2008 Geometry and Trigonometry
(a) Using ruler and a pair of compasses only, construct : (i) a quadrilateral PQRS such that /PQ/ = 7 cm, < QPS = 60^\circ, /PS/ = 6.5 cm, < PQR = 135^\circ and /QS/ = /QR/ ; (ii) locus, \(l_{1}\) of points equidistant from P and Q ; (iii) locus, \(l_{2}\) of points equidistant from P and S. (b)(i) Label the point T where \(l_{1}\) and \(l_{2}\) intersect. (ii) With center T and radius /TP/, construct a circle \(l_{3}\).