# NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry

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NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry-

The word ‘geometry’ derived from the Greek words ‘geo’, which means ‘earth’, and ‘metrein’, which means ‘to measure’. In this chapter, we will discuss Euclid’s approach to geometry and also we will try to link it with the present geometry. In this chapter, there are 2 exercises with 9 questions. The NCERT Solutions for Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry are prepared and designed by our maths experts to help students in their preparation of CBSE final exam as well as in the various competitive exams like Indian National Olympiad (INO), NTSE etc. These NCERT solutions are the step by step explanation and solution of each question of class 9 Maths NCERT textbook.

Euclidean Geometry was introduced around 300 BC by a Greek Mathematician Euclid. The contributions of Euclid still valid until now. Euclidean geometry is based on, his theorems and axioms to study the relationship between lines, solid figures and angle in space. The NCERT Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry help students to form the base for the geometry. In this chapter, we will study definitions like a point, a line, and a plane which are defined by Euclid’s and also study Euclid’s axioms and theorems, Euclid’s five postulates and study two equivalent versions of Euclid’s fifth postulate.

Important point of NCERT Class 9 Maths Chapter 5 Introduction to Euclid’s Geometry-

Some of Euclid’s axioms are given below-

• If things are equal to the same thing then things are equal to one another.
• If equals are added to the equals, then the wholes are also equal.
• If equals are subtracted from the equals, then the remainders are also equal.
• If things coincide with one another, then things are equal to one another.
• If things which are double of the same things, then things are equal to one another.
• If things which are halves of the same things, then things are equal to one another.
• The whole is greater than the part.

## Topics of NCERT Grade 9 Maths Chapter 5 Introduction to Euclid’s Geometry-

5.1 Introduction

5.2 Euclid’s Definitions, Axioms and Postulates

5.3 Equivalent Versions of Euclid’s Fifth Postulate

5.4 Summary

The complete Solutions of NCERT Class 9 Mathematics Chapter 5 is provided below:

## NCERT Solutions for Class 9 Maths - Chapter Wise

 Chapter No. Chapter Name Chapter 1 Number Systems Chapter 2 Polynomials Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Area and Volumes Chapter 14 Statistics Chapter 15 Probability

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