Question

Prove that all the straight lines that are parallel to the same straight line are parallel to each other.​

Answer 1

Step-by-step explanation:

given three lines l,m and n ; such that L || N

and M || N

proof if possible, l is not parallel to m, then l and m

intersect in a unique point, say P . thus through a point p

outside n , there are two lines l aND m. both parllel to n. this is contradiction to the parallel line axiom. so, our suppositon is wrong.

l || m hence proved