Q1 of 31 Page 4

Construct a quadrilateral PQRS in which PQ = 3 cm, QR = 5 cm, QS = 5 cm, PS = 4 cm and SR = 4 cm.

Steps of construction: 1. Draw SQ = 5cm.
2. With S as centre and SP (= 4 cm) as radius draw an arc.
3. With Q as centre and QP (= 3 cm) as radius draw another arc to cut the arc of step 2 at P.
4. With S as centre and SR (= 4 cm) as radius draw an arc.
5. With Q as centre and QR (= 5 cm) draw another arc to cut the arc of step 4 at R.
6. Join PS, PQ, RS and RQ.PQRS is the required quadrilateral.

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2 Construct a parallelogram ABCD in which AB = 3.5 cm, BC = 4 cm and AC = 6.5 cm. 3 Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.5 cm, DA = 6 cm and BD = 9 cm? If not, give reason. 4 Construct a quadrilateral ABCD in which AB = 5 cm, BC = 4 cm, AD = 3 cm, CD = 6 cm and BD = 5 cm. 5 Is it possible to construct a quadrilateral ABCD in which AB = 3cm, CD = 3 cm, DA = 7.5 cm, AC = 8 cm and BD = 4 cm? If not, given reason.