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Practical Geometry Exercise 4.3

NCERT solutions for Class 8 Maths Practical Geometry 

NCERT Solutions for Class 8 Maths Exercise 4.3

NCERT Solutions for Class 8 Maths Practical Geometry

Class –VIII Mathematics (Ex. 4.3)
1. Construct the following quadrilaterals:
(i) Quadrilateral MORE

MO = 6 cm, OR = 4.5 cm,

M = O = R =

(ii) Quadrilateral PLAN

PL = 4 cm, LA = 6.5 cm,

P = A = N =

(iii) Parallelogram HEAR

HE = 5 cm, EA = 6 cm, R =

(iv) Rectangle OKAY

OK = 7 cm, KA = 5 cm

Ans.  (i) Given:  MO = 6 cm, OR = 4.5 cm,

M = O = R =

To construct: A quadrilateral MORE.

Steps of construction:

(a) Draw a line segment MO = 6 cm.

(b) Construct R =  and taking radius 4.5 cm, draw an arc taking O as centre, which intersects at R.

(c) Also construct an angle  at R and produce the side RE.

(d) Construct another angle of  at point M and produce the side ME. Both sides ME and RE intersect at E.

It is the required quadrilateral MORE.

(ii)Given:  PL = 4 cm, LA = 6.5 cm,

P = A = N =

To construct: A quadrilateral PLAN.

To findL =

Steps of construction:

(a) Draw a line segment PL = 4 cm.

(b) Construct angle of  at P and produce the side PN.

(c) Construct angle of  at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.

(d) Construct A =  at A and produce the side AN which intersects PN at N.

It is the required quadrilateral PLAN.

NCERT Solutions for Class 8 Maths Exercise 4.3

(iii)Given:  HE = 5 cm, EA = 6 cm,

R =

To construct: A parallelogram HEAR.

To findH =

[ Sum of adjacent angle of gm is ]

Steps of construction:

(a) Draw a line segment HE = 5 cm.

(b) Construct H =  and draw an arc of radius 6 cm with centre H. It intersects AR at R.

(c) Join RH.

(d) Draw R = E = and draw an arc of radius 6 cm with E as a centre which intersects RA at A.

(e) Join RA

It is the required parallelogram HEAR.

(iv)Given:  OK = 7 cm, KA = 5 cm

To construct: A rectangle OKAY.

NCERT Solutions for Class 8 Maths Exercise 4.3

Steps of construction:

(a)  Draw a line segment OK = 7 cm.

(b) Construct angle  at both points O and K and produce these sides.

(c) Draw two arcs of radius 5 cm from points O and K respectively. These arcs intersect at Y and A.

(d) Join YA.

It is the required rectangle OKAY.


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