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.