In Euclidian geometry, which is the geometry of a plane surface, parallel lines do not intersect because that is the definition of parallel lines. But note that there are other geometrical systems in which parallel lines do intersect, for example if they are drawn on the surface of a sphere.
Definition of parallel lines: Lines that always stay the same distance apart and never meet.
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No, never. Parallel lines are line that will NEVER intersect.
Coplanar lines that don't intersect are parallel. Lines that are not parallel and do not intersect are skew lines.
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
parallel ============================================= Parallel. _____________________ _____________________ Those two lines will NEVER intersect.
A transversal line cutting through parallel lines creates various angles