8th Maths 4.1

Chapter 4

Practical Geometry

NCERT Class 8th Solution of Exercise 4.2

NCERT Class 8th Solution of Exercise 4.3

NCERT Class 8th Solution of Exercise 4.4

NCERT Class 8th Solution of Exercise 4.5

EXERCISE 4.1

Q1. Construct the following quadrilaterals.

i) Quadrilateral ABCD.
AD=6cm
AB=4.5 cm
BC=5.5 cm
CD=4 cm
AC=7 cm

ii) Quadrilateral JUMP
JU=3.5 cm
UM=4 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

`text{Solution:}`

i) `text{Quadrilateral ABCD.}`
`text{AD=6cm}`
`text{AB=4.5 cm}`
`text{BC=5.5 cm}`
`text{CD=4 cm}`
`text{AC=7 cm}`

`text{Sol.}`

`text{Rough sketch of a quadrilateral ABCD}`

`text{Fair sketch of a quadrilateral ABCD}`

`text{Step of Construction:}`

1) `text{Draw AB = 4.5 cm.}`

2) `text{Draw an arc with a center B of radius}``text{ 5.5 cm.}`

3) `text{Draw another arc with a center A of radius}``text{ 7 cm to meet the previous arc at C.}` 

4) `text{Draw an arc with center C of radius 4 cm.}`

5) `text{Draw another arc with a center A of radius}``text{ 6 cm to meet the previous arc at D.}`

6) `text{Join BC, CD, DA, and AC}`

7) `text{We get quadrilateral ABCD.}`

ii) `text{Quadrilateral JUMP}`
`text{JU=3.5 cm}`
`text{UM=4 cm}`
`text{PJ = 4.5 cm}`
`text{PU=6.5 cm}`

`text{Sol.}`

`text{Rough sketch of a quadrilateral JUMP}`

`text{Fair sketch of a quadrilateral JUMP}`

`text{Step of Construction:}`

1) `text{Draw JU = 3.5 cm.}`

2) `text{Draw an arc with a center J of radius}``text{ 4.5 cm.}`

3) `text{Draw another arc with a center U of radius}``text{ 6.5 cm to meet the previous arc at P.}` 

4) `text{Draw an arc with a center U of radius 4 cm.}`

5) `text{Draw another arc with a center P of radius}``text{ 5 cm to meet the previous arc at M.}`

6) `text{Join UM, MP, PU, and PU}`

7) `text{We get quadrilateral JUMP.}`

iii) `text{Parallelogram MORE}`
`text{OR=6 cm}`
`text{RE=4.5 cm}`
`text{EO=7.5 cm}`

`text{Sol.}`

`text{Rough sketch of a parallelogram MORE.}`

`text{Fair sketch of a parallelogram MORE.}`

`text{Step of Construction:}`

`[text{Opposite sides of a parallelogram are equal.}]`

1) `text{Draw OR = 6 cm.}`

2) `text{Draw an arc with a center R of radius}``text{ 4.5 cm.}`

3) `text{Draw another arc with a center O of radius}``text{ 7.5 cm to meet the previous arc at E.}` 

4) `text{Draw an arc with a center E of radius 6 cm.}`

5) `text{Draw another arc with a center O of radius}``text{ 4.5 cm to meet the previous arc at M.}`

6) `text{Join RE, EM, MO, and OE}`

7) `text{We get quadrilateral MORE.}`

iv) `text{Rhombus BEST}`
`text{BE=4.5 cm}`
`text{ET=6 cm}`

`text{Sol.}`

`text{Rough sketch of a rhombus BEST.}`

`text{Fair sketch of a rhombus BEST.}`

`text{Step of Construction:}`

`[text{All sides of a rhombus are equal.}]`

1) `text{Draw BE = 4.5 cm.}`

2) `text{Draw an arc with a center B of radius}``text{ 4.5 cm.}`

3) `text{Draw another arc with a center E of radius}``text{ 6 cm to meet the previous arc at T.}` 

4) `text{Draw an arc with a center E of radius 4 cm.}`

5) `text{Draw another arc with a center T of radius}``text{ 6 cm to meet the previous arc at S.}`

6) `text{Join ES, ST, TB, and ET}`

7) `text{We get rhombus BEST.}`