8th Maths 4.4

Chapter 4 Practical Geometry

Q1. Construct the following quadrilaterals.

i) Quadrilateral DEAR
DE=4cm
EA=5cm
AR=4.5cm
∠E=60°
∠A=90°

ii) Quadrilateral TRUE
TR=3.5 cm

RU=3cm
UE=4cm
∠U=120°
∠R=75°

`text{Solution:}`

i) `text{Quadrilateral DEAR}`
`text{DE=4cm}`
`text{EA=5cm}`
`text{AR=4.5cm}`
`text{∠E=60°}`
`text{∠A=90°}`

`text{Rough sketch of a quadrilateral DEAR}`

`text{Fair sketch of a quadrilateral DEAR}`

`text{Step of construction}`

1) `text{Draw DE = 4cm.}`

2) `text{Draw angle of 60° at E.}`

3) `text{Draw an arc with center E of radius 5 cm}``text{ to meet angle line at A.}`

4) `text{Draw an angle of 90° at A and cut}``text{ AR=4.5 cm.}`

5) `text{Join DR.}`

5) `text{We get quadrilateral DEAR.}`

ii) `text{Quadrilateral TRUE}`
`text{TR=3.5 cm}`

`text{RU=3cm}`
`text{UE=4cm}`
`text{∠U=120°}`
`text{∠R=75°}`

`text{Rough sketch of a quadrilateral TRUE}`

`text{Fair sketch of a quadrilateral TRUE}`

`text{Step of construction}`

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

2) `text{Draw an angle of 75° at R and}``text{ cut RU=3 cm.}`

4) `text{Draw an angle of 120° at U and}``text{ cut UE=4 cm.}`

5) `text{Join TE.}`

5) `text{We get quadrilateral TURE.}`