**Download NCERT Solutions for Class 9 Maths Chapter 5 Exercise 5.2 – Introduction to Euclid’s Geometry**

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

**Solution:**

** **Euclid’s 5^{th} postulate states that

“If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right Angles.”

For better understanding we can write it as follows :

“Two lines if produced indefinitely will meet on the side in which the distance between them is decreasing.”

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

**Solution:**

Yes , it implies the existence of parallel lines .

Euclid’s 5^{th} postulate states that

“If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right Angles.”

If the line falling on the two straight lines makes the interior angles on the same side taken together equal to 180^{o} then , the two lines , if produced indefinitely, never meet.

Such lines are called parallel lines.

**Download NCERT Solutions for Class 9 Maths Chapter 5 Exercise 5.2 – Introduction to Euclid’s Geometry**

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