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Chapter 5 Class 9 Introduction to Euclid's Geometry

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Updated for new NCERT - 2023-24 Edition.

Get NCERT Solutions to all exercise questions and examples of Chapter 5 Class 9 Introduction to Euclid's Geometry. All questions have been solved in an easy to understand way.

 

Euclid was a mathematician from Egypt who studied and explained geometry. In this chapter, we will learn Euclid's Geometry. Euclid's Geometry is a bit different from the geometry we study today. We will learn how Euclid explained Geometry and try to relate it with the geometry we study today.

In this chapter, we will study

  • Euclid's definitions of Point, Line, Surface
  • In these definitions, some terms cannot be explained. So we assume it to be true. These terms are called Axioms.
  • Axioms are things which are universally true. We then study some of Euclid's Axioms.
  • Postulates are things which are universally true in geometry. 
  • We study Euclid's 5 postulates, and also Axiom 5.1 which is a result of Postulate 1
  • Using Axioms and Postulates, we prove Theorems. Theorems can always be proved.
  • Then, we prove Theorem 5.1 - Two distinct lines cannot have more than one point in common.
  • We also different versions of Postulate 5, and also rewrite it in our own way.

 

Click on an exercise link below to learn from the NCERT way.

Or you can learn the Teachoo way, Click on concept below concept wise to learn the concept. And then, do the questions. Questions are ordered from easy to difficult. 

Click on a link below to start

Serial order wise

  Ex 5.1
  Examples
  Euclid's 5th Postulate

Concept wise

  Axioms
  Postulates
  Axiom 5.1

What's in it?

Updated for new NCERT - 2023-24 Edition.

Get NCERT Solutions to all exercise questions and examples of Chapter 5 Class 9 Introduction to Euclid's Geometry. All questions have been solved in an easy to understand way.

 

Euclid was a mathematician from Egypt who studied and explained geometry. In this chapter, we will learn Euclid's Geometry. Euclid's Geometry is a bit different from the geometry we study today. We will learn how Euclid explained Geometry and try to relate it with the geometry we study today.

In this chapter, we will study

  • Euclid's definitions of Point, Line, Surface
  • In these definitions, some terms cannot be explained. So we assume it to be true. These terms are called Axioms.
  • Axioms are things which are universally true. We then study some of Euclid's Axioms.
  • Postulates are things which are universally true in geometry. 
  • We study Euclid's 5 postulates, and also Axiom 5.1 which is a result of Postulate 1
  • Using Axioms and Postulates, we prove Theorems. Theorems can always be proved.
  • Then, we prove Theorem 5.1 - Two distinct lines cannot have more than one point in common.
  • We also different versions of Postulate 5, and also rewrite it in our own way.

 

Click on an exercise link below to learn from the NCERT way.

Or you can learn the Teachoo way, Click on concept below concept wise to learn the concept. And then, do the questions. Questions are ordered from easy to difficult. 

Click on a link below to start