NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry Exercise 4.3

The NCERT Solutions for Class 8 Maths enhance topics with frequent, focused, engaging math challenges and activities that strengthen math concepts. Each question of the exercise has been carefully solved for the students to understand, keeping the examination point of view in mind.

Class 8 Maths Chapter 4-Practical Geometry Exercise 4.3 questions and answers helps the students to understand the construction of a quadrilateral when two adjacent sides and three angles are known. These NCERT Solutions are prepared by BYJU’S subject experts using a step-by-step approach.

Download PDF of NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry Exercise 4.3

 

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Access Other Exercise Solutions of Class 8 Maths Chapter 4- Practical Geometry

Exercise 4.1 Solutions 1 Question

Exercise 4.2 Solutions 1 Question

Exercise 4.4 Solutions 1 Question

Exercise 4.5 Solutions 4 Questions

Access Answers to NCERT Class 8 Maths Chapter 4- Practical Geometry Exercise 4.3 Page Number 64

1. Construct the following quadrilaterals.

(i) Quadrilateral MORE MO = 6 cm

OR = 4.5 cm

∠M = 60°

∠O = 105°

∠R = 105°

Solution:

Rough Figure:

NCERT Solution For Class 8 Maths Chapter 4 Image 29

NCERT Solution For Class 8 Maths Chapter 4 Image 30(1) Draw a line segment MO of 6 cm and an angle of 105º at point O. As vertex R is 4.5 cm away from the vertex O, cut a line segment OR of 4.5 cm from this ray.

(2) Again, draw an angle of 105º at point R.

NCERT Solution For Class 8 Maths Chapter 4 Image 31

(3) Draw an angle of 60º at point M. Let this ray meet the previously drawn ray from R at point E.

NCERT Solution For Class 8 Maths Chapter 4 Image 32

MORE is the required quadrilateral.

(ii) Quadrilateral PLAN PL = 4 cm

LA = 6.5 cm

∠P = 90°

∠A = 110°

∠N = 85°

Solution:

The sum of the angles of a quadrilateral is 360°. In quadrilateral PLAN,

∠P + ∠L + ∠A + ∠N = 360° 90° + ∠L + 110° + 85° = 360°

285° + ∠L = 360°

∠L = 360° − 285° = 75°

Rough Figure:

NCERT Solution For Class 8 Maths Chapter 4 Image 33

(1) Draw a line segment PL of 4 cm and draw an angle of 75º at point L. As vertex A is 6.5 cm away from vertex L, cut a line segment LA of 6.5 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 34

(2) Again draw an angle of 110º at point A.

NCERT Solution For Class 8 Maths Chapter 4 Image 35

(3) Draw an angle of 90º at point P. This ray will meet the previously drawn ray from A at point N.

NCERT Solution For Class 8 Maths Chapter 4 Image 36

PLAN is the required quadrilateral.

(iii) Parallelogram HEAR HE = 5 cm

EA = 6 cm

∠R = 85°

Solution:

Rough Figure:

NCERT Solution For Class 8 Maths Chapter 4 Image 37

(1) Draw a line segment HE of 5 cm and an angle of 85º at point E. As vertex A is 6 cm away from vertex E, cut a line segment EA of 6 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 38

(2) Vertex R is 6 cm and 5 cm away from vertex H and A respectively. By taking radius as 6 cm and 5 cm, draw arcs from point H and A respectively. These will be intersecting each other at point R.

NCERT Solution For Class 8 Maths Chapter 4 Image 39

(3) Join R to H and A.

NCERT Solution For Class 8 Maths Chapter 4 Image 40

HEAR is the required quadrilateral.

(iv) Rectangle OKAY

OK = 7 cm KA = 5 cm

Solution:

Rough Figure:

NCERT Solution For Class 8 Maths Chapter 4 Image 41

(1) Draw a line segment OK of 7 cm and an angle of 90º at point K. As vertex A is 5 cm away from vertex K, cut a line segment KA of 5 cm from this ray.

NCERT Solution For Class 8 Maths Chapter 4 Image 42

(2) Vertex Y is 5 cm and 7 cm away from vertex O and A respectively. By taking

radius as 5 cm and 7 cm, draw arcs from point O and A respectively. These will be intersecting each other at point Y.

NCERT Solution For Class 8 Maths Chapter 4 Image 43

(3) Join Y to A and O.

NCERT Solution For Class 8 Maths Chapter 4 Image 44

OKAY is the required quadrilateral.


The exercise 4.3 of NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry is based on the following topics:

  1. Constructing a Quadrilateral
    • When two adjacent sides and three angles are known

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