Home » Mathematics Theory (a) Using ruler and a pair of compasses only, construct : (i) a quadrilateral PQRS…

Mathematics Theory (a) Using ruler and a pair of compasses only, construct : (i) a quadrilateral PQRS…

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

(i) a quadrilateral PQRS such that /PQ/ = 7 cm, < QPS = 60°, /PS/ = 6.5 cm, < PQR = 135° 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}).

Explanation