Q7 of 31 Page 4

Construct a quadrilateral ABCD in which AB = CD = 3 cm, BC = 2.5 cm, AC = 4 cm and BD = 5 cm.


Steps of construction:
1. Draw AB = 3 cm.
2. With A as centre and AC (= 4 cm) as radius draw an arc.
3. With B as centre and BC (= 2.5 cm) draw another arc to cut the arc of step 2 at C.
4. With C as centre and radius = 3cm draw an arc
5. With B as centre and radius = 5cm draw an arc to cut the arc in step 4 at D
6. Join BC, CD and AD. ABCD is the required quadrilateral.

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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. 8 Construct a quadrilateral PQRS in which QR = 7.5 cm, RP = PS = 6 cm, RS = 5 cm and QS = 10 cm. 9 Construct a quadrilateral ABCD in which BC = 5.5 cm, CD = 4 cm, ∠ A = 70°, ∠ B = 110° and ∠ D = 85°.