Construct the following quadrilaterals:

(i) Quadrilateral DEAR

DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°

Solution:

Construction steps:

Step I: Draw a line DE = 4 cm.

Step II: At E draw an angle of 60°.

Step III: with centre E draw an arc of radius 5 cm to meet the angle line at A.

Step IV: Draw an angle of 90° at A and cut AR = 4.5 cm.

Step V: Join DR.

Hence, DEAR is the required quadrilateral.

(ii) Quadrilateral TRUE

TR = 3.5 cm, RU = 3 cm, UE = 4.5 cm, ∠R = 75°, ∠U = 120°

Solution:

Constructions steps:

Step I: Draw a line segment TR = 3.5 cm

Step II: At R draw an angle of 75° and cut RU = 3 cm.

Step III: At U draw an angle of 120° and cut UE = 4.5 cm.

Step IV: Join TE.

Hence, TRUE is the required quadrilateral.