Question

EXERCISE 5.2
How would you rewrite Euclid's fifth postulate so that it would be easier to understand
of parallel lines? Explain​

Answer 1

HERE IS YOUR ANSWER

There are several easy equivalent versions of Euclids fifth postulate. Two lines are said to be parallel if they are equidistant from one other and they do not have any point of intersection. Then, by Playfair's axiom (equivalent to the fifth postulate), there is a unique line m through P which is parallel to l .

HOPE IT WILL HELP YOU

Answer 2

Euclid’s fifth postulate: 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.

i.e., the Euclid’s fifth postulate is about parallel lines.

Parallel lines are the lines which do not intersect each other ever and are always at a constant perpendicular distance apart from each other. Parallel lines can be two or more lines.

A: If X does not lie on the line A then we can draw a line through X which will be parallel to that of the line A.

B: There can be only one line that can be drawn through the point X which is parallel to the line A.