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 maths challenges and activities that strengthen maths concepts. Each question of exercise 4.3 in NCERT Class 8 Maths Solutions 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 help the students 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.

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 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 radii as 6 cm and 5 cm, draw arcs from points H and A, respectively. These will intersect 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 radii as 5 cm and 7 cm, draw arcs from points O and A, respectively. These will intersect 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.


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

Also, explore – 

NCERT Solutions for Class 8 

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