Hello! In class, my geometry teacher was proving some theorems so that we could use them in class. However, we couldn't cover this last one before class ended. I was hoping someone could help me with this.
Prove that parallel lines are coplaner lines that never intersect.
My geometry teacher mentioned something about using euclid's fifth postulate and logic tables before we had to leave so if that could be helped to prove and explain that would be amazing. Thank you in advance!
i don't really know how much this would help since my geometry class doesn't talk about euclid at all, but if the lines did intersect, that would contradict the deefinition of parallel lines. they're always on the same plane because if they weren't and also didn't intersect, they would be skew lines.