So they dont eventually run into each other.
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The importance is that parallel lines must never meet.
The question is baffling. They're not different. Perpendicular lines must be intersecting lines.The only lines that are not intersecting lines are parallel lines. If two lines arenot parallel, then they must intersect, and they can be perpendicular or not.
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
A trapezoid has only one pair of parallel lines so it cannot be a parallelogram which must have two pairs of parallel lines.
They are skew lines. Two parallel lines must be in the same plane.