Class 8 Maths NCERT Solutions for Chapter – 4 Practical Geometry Ex – 4.4

Practical Geometry

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) Let us draw a rough sketch of the required quadrilateral and write down the given dimensions.

Steps of Construction :
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 22

  • Draw EA = 5 cm.
  • Make ∠XEA = 60°.
  • With E as centre and radius 4 cm, cut off ED = 4 cm along EX.
  • Make ∠EAY = 90°.
  • With A as centre and radius 4.5 cm, draw an arc to cut off AY at R.
  • Join DR.
    Then, DEAR is the required quadrilateral.

(ii) Let us draw a rough sketch of the required quadrilateral and write down the given 3 5 cm dimensions.

Steps of Construction :
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 24

  • Draw RU = 3 cm.
  • Make ∠URX = 75°.
  • With R as centre and radius 3.5 cm, cut off RT = 3.5 cm along RX.
  • Make ∠RUY =120°
  • With U as centre and radius 4 cm, draw an arc to cut CY at E Join TE.
  • Then, TRUE is the required quadrilateral.