Ncert mathematics solutions class 9 Solutions for Chapter 5 introduction to euclids geometry

Exercises in Chapter 5 introduction to euclids geometry Grade 9

Introduction to Euclids Geometry – Exercise 5.1

Introduction to Euclids Geometry – Exercise 5.2

Questions in Introduction to Euclids Geometry – Exercise 5.1

Consider two ‘postulates’ given below:

(i) Given any two distinct points A and B, there exists a third point C which is between A and B.

(ii) There exist at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.

In Question 4, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.

Questions in Introduction to Euclids Geometry – Exercise 5.2

How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?

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