2018 WAEC Mathematics Theory (a) Using ruler a pair of compasses only, construct: (i) a trapezium PQRS such that...

(a) Using ruler a pair of compasses only, construct:

(i) a trapezium PQRS such that |PQ| = 6.8 cm, < PQR = 120\(^o\), QR||PS, |PS| =10.6 cm, and IPRI = 93 cm;

(ii) locus \(l_1\) of points equidistant from P and R;

(iii) locus \(l_2\) of points equidistant from Q and R

(b) Measure: (i) |QR|;

ii. < PSR

iii. |QY|, where Y is the point of intersection h and h.

(a) The trapezium PQRS is as shown

(b) |QR| = (3.9 ± 0.1) cm, < PSR = (60 ± 1)\(^o\) and |QY| = (5.2 ± 0.1) cm.

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