Q6 of 31 Page 4

Construct a quadrilateral ABCD in which AB = 7 cm, AD = 6 cm, AC = 7 cm, BD = 7.5 cm and BC = 4cm.


Steps of construction: 1. Draw AB = 7 cm.
2. With A as centre and AC (= 7 cm) as radius draw an arc.
3. With B as centre and BC (= 4 cm) as radius draw another arc to cut the arc of step 2 at C.
4. With A as centre and AD (= 6 cm) as radius draw an arc.
5. With B as centre and BD (= 7.5 cm) as radius draw another arc to cut the arc of step 4 at D.
6. Join AC, BC, AD and CD.ABCD is the required quadrilateral.

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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. 7 Construct a quadrilateral ABCD in which AB = CD = 3 cm, BC = 2.5 cm, AC = 4 cm and BD = 5 cm. 8 Construct a quadrilateral PQRS in which QR = 7.5 cm, RP = PS = 6 cm, RS = 5 cm and QS = 10 cm.