You can Download KSEEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.2 Questions and Answers helps you to revise the complete syllabus.

## KSEEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 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

ID = 5 cm

OD = 10 cm

(iii) Rhombus BEND

BN = 5.6 cm

BD = 6.5 cm

Solution:

(i) Draw a rough sketch of quadrilateral LIFT.

Steps of construction:

- Draw a line segment LF = 4.5 cm.
- Draw an arc of radius 4 cm from point L.
- Draw an arc of radius 3 cm from point F.
- Both these arcs intersect, let it say point I.
- LIF is a triangle.
- Draw an arc of radius 4 cm from point I on the opposite side of LF.
- Draw an arc of radius 2.5 cm from point L intersecting at T.
- Join LT and TF, LIFT is a required quadrilateral.

(ii) Draw a rough sketch of quadrilateral GOLD.

Steps of construction:

- Draw a line segment OD = 10 cm.
- Draw an arc of radius 7.5 cm taking O as centre.
- Draw an arc of radius 5 cm taking D as centre.
- Both these arcs intersect at L.
- Join OL and LD, OLD is a triangle.
- Taking L as centre draw an arc of radius 6 cm.
- Taking D as centre draw an arc of 6 cm intersecting at G.
- Join GD and GO.
- GOLD is a required quadrilateral.

(iii) Draw a rhombus BEND roughly.

Since the sides of a rhombus are equal.

Steps of construction:

- Draw a line segment BN = 5.6 cm.
- Draw an arc of radius 6.5 taking B as centre.
- With the same radius draw an arc taking N as centre.
- These arcs intersect at E.
- BEN is a triangle.
- Repeat the process to draw ∆BDN.
- BEND is a required rhombus.