These NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.2 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Exercise 4.2

Question 1.

Construct the following quadrilaterals.

(i) Quadrilateral LIFT

LI = 4 cm

IF = 3 cm

TL = 2.5 cm

LF = 4.5 cm

IT = 4 cm

(ii) Quadrilateral GOLD

OL = 7.5 cm

GL = 6 cm

GD = 6 cm

LD = 5 cm

OD = 10 cm

(iii) Rhombus BEND

BN = 5.6 cm

DE = 6.5 cm

Solution:

(i)

Steps of Construction:

I. Draw a line segment LI = 4 cm.

II. With centre at I and radius = 4 cm, draw an arc.

III. With centre at L and radius = 2.5 cm, draw another arc to intersect the previous arc at T.

IV. Join TI and TL.

V. With centre at L and radius = 4.5 cm, draw an arc on the side opposite to that of L.

VI. With centre at I and radius = 3 cm, draw another arc to intersect the previous arc at F.

VII. Join FL and FI.

Thus, LIFT is the required quadrilateral.

(ii)

Steps of construction:

I. Draw a line segment LD = 5 cm.

II. With centre at L and radius = 6 cm, draw an arc.

III. With centre at D and radius = 6 cm, draw another arc to intersect the previous arc at G.

IV. Join GL and GD.

V. With centre at D and radius = 10 cm, draw an arc.

VI. With centre at L at radius = 7.5 cm, draw another arc to intersect the previous arc at O.

VII. Join OL and OG.

Thus, GOLD is the required quadrilateral.

(iii)

Steps of construction:

I. Draw a line segment DE = 6.5 cm.

II. Draw perpendicular bisector of DE such that M is the mid-point of DE.

III. With centre M and radius = 2.8 cm, draw arcs to intersect the perpendicular bisector at B and N.

IV. Join ND, NE, BE, and BD.

Thus, BEND is the required rhombus.