Question

S
1. Draw a parallelogram PQRS, in which PQ =
6.5 cm, PS = 4.8 cm and ZQPS = 70°
Measure its diagonals.
2. In the adjacent figure a quadrilateral has been
shown.
​

Answer 1

Answer:

1) Since ABCD is a parallelogram, AB = DC = 6.5 cm and AD = BC = 4.8 cm.

Given:

∠A = 70°

Steps of construction :

1) Draw AD equal to 4.8 cm.

2) Make an angle of 70° at A and cut an arc of 6.5 cm. Name it B.

3) Cut an arc of 4.8 cm from B and 6.5 cm from D. Name it C.

4) Join AB, BC and CD.

5) Measuring the diagonals AC and BD, we get AC equal to 9.2 cm and BD equal to 6.6 cm.

2) (i) The diagonals are AC and BD.

(ii) AB and CD, and AD and BC are the two pairs of opposite sides.

(iii) ∠A and ∠C, and ∠B and ∠D are the two pairs of opposite angles.

(iv) AB and BC, and AD and DC are the two pairs of adjacent sides.

(v) ∠A and ∠B, and ∠C and ∠D are the two pairs of adjacent angles.

Step-by-step explanation:

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