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

Using ruler and a pair of compasses only, construct:

(a) (i) quadrilateral PQRS with |PQ| = 6 cm, |PS| = 8 cm, < PSR = 90(^o), |SR| = 12 cm and |QR| = 11 cm;

(ii) perpendicular from Q to cut (over{SR}) at K.

 

(b) Measure:

(i) IQRI;

(ii) < QRS.
 

Explanation

(a) The following solution was expected from the candidates

 

(b) (i) |QK| = 9.3cm

(ii) < QRS = 55(^o)