Q2 of 31 Page 4

Construct a parallelogram ABCD in which AB = 3.5 cm, BC = 4 cm and AC = 6.5 cm.

Steps of construction:1. Draw AB = 3.5cm.
2. With A as centre and AC (= 6.5cm) as radius draw an arc above AB.
3. With B as centre and BC (= 4cm) as radius draw another arc to cut the arc of step 2 at C.
4. With A as centre and AD (= 4cm) as radius draw an arc.
5. With C as centre and CD (= 3.5cm) as radius draw another arc to cut the arc of step 4 at D.
6. Join BC, CD and DA.ABCD is the required parallelogram.

More from this chapter

All 31 →
1 Construct a quadrilateral PQRS in which PQ = 3 cm, QR = 5 cm, QS = 5 cm, PS = 4 cm and SR = 4 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.