Class 9 - Mathematics
Introduction to Euclids Geometry - Exercise 5.2
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Exercise 5.2
Question :1 : How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?
Answer :
When two lines are cut by a third line, such that the sum of interior angles is less than 1800 on
one side then the first two lines intersect on the same side
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Question :2 : Does Euclid’s fifth postulate imply the existence of parallel lines? Explain.
Answer :
It may be argued that Euclid’s fifth postulate recognizes the existence of parallel lines. If the
sum of interior angles is 1800 on both sides of the transversal then the lines will not intersect
on any side(condition for intersecting being that the sum of interior angles on that side should
be han 1800). So if two lines never intersect, then they