You can Download KSEEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1 Questions and Answers to help you to revise the complete syllabus.

## KSEEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1

Question 1.

Construct the following quadrilaterals:

(i) Quadrilateral ABCD

AB = 4.5 cm

BC = 5.5 cm

CD = 4.4 cm

AD = 6 cm

AC = 7 cm

(ii) Quadrilateral JUMP

JU = 3.5 cm

UM = 4 cm

MP = 5 cm

PJ = 4.5 cm

PU = 6.5 cm

(iii) Parallelogram MORE

OR = 6 cm

RE = 4.5 cm

EO = 7.5 cm

(iv) Rhombus BEST

BE = 4.5 cm

ET = 6 cm

Solution:

(i) A rough sketch will help us to draw a quadrilateral easily:

Steps of construction:

- Take a line segment AC = 7 cm.
- Draw an arc of radius 4.5 cm taking A as centre.
- Draw an arc of radius 5.5 cm taking C as centre.
- These two arcs intersect, let this point be B.
- Now, ABC is a triangle.
- Repeat the procedure to draw ∆ADC by taking sides AD = 6 cm and CD = 4.4 cm
- ABCD is a required quadrilateral.

(ii) Draw a rough sketch of quadrilateral JUMP

Steps of construction:

- Take a line segment JM = 6.5 cm.
- Draw an arc of radius 3.5 cm taking J as centre.
- Draw an arc of radius 4 cm taking M as centre.
- These two arcs intersect each other at U.
- Now, JUM is a triangle.
- Repeat the procedure to draw ∆JPM by taking sides MP = 5 cm and JP = 4.5 cm
- JUMP is a required quadrilateral.

(iii) Draw a rough sketch of parallelogram MORE

In a parallelogram opposite sides are equal.

∴ OR = ME = 6 cm and RE = OM = 4.5 cm

Steps of construction:

- Draw a line segment OE = 7.5 cm.
- Draw an arc of radius 6 cm, taking 0 as centre.
- Draw an arc of radius 4.5 cm, taking E as centre.
- Both these arcs intersect at R.
- Now, ORE is a triangle.
- Repeat the procedure by taking ME = 6 cm and OM = 4.5 cm.
- MORE is a required parallelogram.

(iv) Draw a rough sketch of rhombus BEST. In a rhombus all sides are equal.

Steps of construction:

- Draw a line segment ET = 6 cm.
- Taking radius 4.5 cm, draw an arc from E.
- Taking radius 4.5 cm, draw an arc from T also.
- Both these arcs intersect at B.
- BET is a triangle.
- Repeat the procedure to draw ∆SET by taking ES = 4.5 and ST = 4.5.
- BEST is a required rhombus.