NCERT Solutions Class 9th Maths Chapter – 5 Introduction to Euclid Geometry Exercise – 5.2

NCERT Solutions Class 9th Maths Chapter – 5 Introduction to Euclid Geometry

TextbookNCERT
Class9th
SubjectMathematics
Chapter5th
Chapter NameIntroduction to Euclid Geometry
CategoryClass 9th Mathematics
Medium English
SourceLast Doubt

Class 9th Maths Chapter – 4 Linear Equations in Two Variables Exercise – 5.2 In This Chapter We Will Learn About Linear Equations in Two Variables, Linear equation, Linear equation in two variable, Graph  with Class 9th Maths Chapter – 4 Linear Equations in Two Variables Exercise – 5.2.

NCERT Solutions Class 9th Maths Chapter – 5 Introduction to Euclid Geometry

Chapter -5

Introduction to Euclid Geometry

Exercise – 5.2

Question 1. How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?

Solution: We can write Euclid’s fifth postulate as ‘Two distinct intersecting lines cannot be parallel to the same line.’

Question 2. Does Euclid’s fifth postulate imply the existence of parallel lines ? Explain.

Solution: Yes. If a straight line l falls on two lines m and n such that sum of the interior angles on one side of l is two right angles, then by Euclid’s fifth postulate, lines m and n will not meet on this side of l. Also, we know that the sum of the interior angles on the other side of the line l will be two right angles too. Thus, they will not meet on the other side also.
Class 9th Maths Chapter - 5 Introduction to Euclid Geometry Ex 5.2
∴ The lines m and n never meet, i.e, They are parallel.

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