S.chand books class 8 maths solution chapter 20 Constructions of Quadrilaterals exercise 20 A

 EXERCISE 20 A

Construct a quadrilateral:

Question 1

(i) ABCD in which AB=4cm , BC=6cm, CD=5.5cm,AD=5cm and AC=8cm
(ii) PQRS in which PQ=3.5cm,QR=5.5cm , RS=4.5cm, PS=5cm and PR=7cm
Sol :

Question 2

(i) PQRS in which PQ=4cm , QR=3cm , PS=2.5cm , PR=4.5cm and QS=4cm
(ii) Is it possible to construct a quadrilateral ABCD in which AB=1.5cm , AD=3cm ,CD=2cm , AC=6.5cm , BD=5cm? If not given reason.
Sol :

Question 3

(i)ABCD in which AB=8cm , BC=6cm , CD=4cm , AD=5cm and ∠B=60°
(ii) PQRS in which PQ=QR=4.5cm,PS=RS=5.8cm ∠PQR=120°
Sol :

Question 4

(i) ABCD in which AB=4.5cm , CD=5cm , DA=3.5cm ∠C=120° and ∠D=75°
(ii) PQRS in which PQ=3.5cm ,QR=3cm , RS=4cm , ∠Q=75° and ∠S=120°
Sol :

Question 5

(i) ABCD in which AB=3.5cm , BC=6 cm , ∠A=75° , ∠B=105° and ∠C=120°
(ii) PQRS in which PQ=6cm , QR=4cm , ∠P=45° , ∠Q=115° and ∠S=95°
[Find ∠R using ∠R=360° -(∠P+∠Q+∠S)]

Sol :