Q2 of 21 Page 72

Construct the quadrilateral with the measurements given below:

Quadrilateral PQRS, PQ = 4.2 cm, QR = 3 cm, PS = 2.8 cm, PR = 4.5 cm and QS = 5 cm.

GIVEN : in Quadrilateral PQRS,

PQ = 4.2 cm


QR = 3 cm


PS = 2.8 cm


PR = 4.5 cm


QS = 5 cm


PROCEDURE :


Step 1 : we first draw the rough sketch of the Quadrilateral PQRS



Step 2 : draw ΔPQR using SSS construction property with measures PQ = 4.2 cm, QR = 3 cm and PR = 4.5 cm.



Step 3 : with center Q and radius 5 cm (QS = 5 cm) and with center P and radius 2.8 cm (PS = 2.8 cm) , draw 2 arcs opposite to vertex Q to locate S.



Step 4 : Join S,P , Q,S and S,R to complete the Quadrilateral PQRS.



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