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Chapter 5 Introduction to Euclid Geometry Ex-5.2 Interview Questions Answers

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

Answer 1 :

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.

Answer 2 :

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.
∴ The lines m and n never meet, i.e, They are parallel.


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Chapter 5 Introduction to Euclid Geometry Ex-5.2 Contributors

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