Question

1. Consider the following statement :
"There exists a pair of straight lines that are
everywhere equidistant from one another.” Is
this statement a direct consequence of Euclid's
fifth postulate ? Explain.​

Answer 1

Answer:

Euclid fifth statement is a line straight line can be drawn from a to be .

Answer 2

Answer:

Yes, It's true statement

Step-by-step explanation:

A pair of straight lines that are everywhere equidistant from one another.

For this:- Take any line l and a point P not on l. Then by play Fair's axiom, which is equivalent to the fifth postulate, we know that there is a unique line m through P which is parallel to l.

Now, the distance of a point from a line is the length of the perpendicular from the point to the line. This distance will be the same for any point on m from l and any point on l from m. Thus these two lines are everywhere equidistant from one another