These NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.4 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Exercise 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:

I. Draw a line segment DE = 4 cm.

II. At E, draw \(\overrightarrow{\mathrm{EX}}\) such that ∠DEX = 60°.

III. From \(\overrightarrow{\mathrm{EX}}\), cut-off EA = 5 cm.

IV. At A, draw ray \(\overrightarrow{\mathrm{AY}}\) such that ∠EAY = 90°.

V. From \(\overrightarrow{\mathrm{AY}}\), cut-off AR = 4.5 cm.

VI. Join R and D. Thus, DEAR is the required quadrilateral.

(ii)

Steps of construction:

I. Draw a line segment \(\overrightarrow{\mathrm{TR}}\) = 3.5 cm.

II. At R, draw a ray \(\overrightarrow{\mathrm{RX}}\), such that ∠TRX = 75°

III. From \(\overrightarrow{\mathrm{RX}}\), cut-off RU = 3 cm.

IV. At U, draw \(\overrightarrow{\mathrm{UY}}\) such that ∠RUY = 120°.

V. From UY, cut-off \(\overrightarrow{\mathrm{UE}}\) = 4 cm.

VI. Join E and T. Thus, TRUE is the required quadrilateral.