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NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3.

  • Practical Geometry Class 8 Ex 4.1
  • Practical Geometry Class 8 Ex 4.2
  • Practical Geometry Class 8 Ex 4.4
  • Practical Geometry Class 8 Ex 4.5
Board CBSE
Textbook NCERT
Class Class 8
Subject Maths
Chapter Chapter 4
Chapter Name Practical Geometry
Exercise Ex 4.3
Number of Questions Solved 1
Category NCERT Solutions

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3

Ex 4.3 Class 8 Maths Question 1.
Construct the following quadrilaterals :
(i) Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
∠M = 60°
∠O = 105°
∠R = 105°

(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
∠P = 90°
∠A = 110°
∠N – 85°.

(iii) Parallelogram HEAR
HE = 5 cm
EA = 6 cm
∠R = 85°

(iv) Rectangle OKAY
OK = 7 cm
KA = 5 cm.
Solution.
(i) Draw a rough sketch of the required quadrilateral and write down its dimensions.
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 14
Steps of Construction :

  • Draw MO = 6 cm.
  • Make ∠MOX = 105°.
  • With O as centre and radius 4.5 cm, cut off OR = 4.5 cm along OX.
  • Make ∠ORY = 105°.
  • Make ∠ZMO = 60° such that arms RY and MZ intersect at E.
    Then, MORE is the required quadrilateral.

(ii) Draw a rough sketch of the required quadrilateral PLAN and write down its dimensions.
Before taking up the construction let us find the ∠PLA which is equal to 360° – (90°+ 110°+ 85°)
= 360°-285° = 75°.
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 15
Steps of Construction :

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 16

  • Draw PL = 4 cm.
  • Make ∠XPL =90°.
  • Make ∠YLP = 75°.
  • With L as centre and radius 6.5 cm, cut off LA – 6.5 cm along LY.
  • Make ∠ZAL =110° and let its arm AZ intersect PX at N.
    Then, PLAN is the required quadrilateral.

(iii) We know that the opposite angles of a parallelogram are equal. Make a rough sketch of the required parallelogram as shown.
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 17
Steps of Construction :

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 18

  • Draw HE = 5 cm.
  • Make ∠HEX = 85°.
  • With E as centre and radius 6 cm, cut off EA = 6 cm along EX.
  • With A as centre and radius 5 cm, draw an arc.
  • With H as centre and radius 6 cm, draw another arc cutting the previous arc at R.
  • Join HR and AR.
    Then, HEAR is the required parallelogram.

(iv) We known that the opposite sides of a rectangle are equal and each angle of it is 90°.
Make a rough sketch of the required
rectangle and write down its dimensions.
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 19
Steps of Construction :

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry 20

  • Draw OK = 7 cm.
  • Draw ∠OKX = 90°.
  • With K as centre and radius 5 cm, draw an arc KX at A.
  • With A as centre and radius 7 cm, draw an arc.
  • With O as centre and radius 5 cm, draw another arc cutting the previous arc at Y.
  • Join AY and OY.
    Then, OKAY is the required rectangle.

We hope the NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3 help you. If you have any query regarding NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3, drop a comment below and we will get back to you at the earliest.

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