Gujarat Board GSEB Textbook Solutions Class 8 Maths Chapter 4 Practical Geometry Ex 4.4 Textbook Questions and Answers.

## Gujarat Board Textbook Solutions Class 8 Maths 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:

I. Draw a line segment DE = 4 cm.

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

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

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

V. From \(\overrightarrow { EY } \), 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 \(\overrightarrow { TR } \) =3.5 cm.

II. At R, draw a ray \(\overrightarrow { RX } \) such that ∠TRX = 15°.

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

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

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

VI. Join E and T.

Thus, TRUE is the required quadrilateral.