Q4 of 31 Page 4

Construct a quadrilateral ABCD in which AB = 5 cm, BC = 4 cm, AD = 3 cm, CD = 6 cm and BD = 5 cm.


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