## MP Board Class 8th Maths Solutions Chapter 4 Practical Geometry Ex 4.4

Question 1.

Construct the following quadrilaterals.

(i) Quadrilateral

DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

(ii) Quadrilateral

TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

Solution:

(i) Steps of Construction:

Step-1: Draw EA = 5 cm.

Step-2: Make ∠AEX = 60° and ∠EAY = 90°.

Step-3 : Cut off arcs AR = 4.5 cm on \(\overrightarrow{A Y}\) and ED = 4 cm on \(\overrightarrow{E X}\).

Step-4: Join DR.

Hence, DEAR is the required quadrilateral.

(ii) Steps of Construction :

Step-1: Draw RU = 3 cm.

Step-2 : Make ∠URX = 75° and ∠RUY = 120°

Step-3 : Cut off RT = 3.5 cm on \(\overrightarrow{R X}\) and UE = 4 cm on \(\overrightarrow{U Y}\).

Step-4: Join TE.

Hence, TRUE is the required quadrilateral.