Lines that meet are not parallel, and parallel lines never meet.
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No, in Euclidean geometry they do not meet.
Because of the way parallel lines are defined. Parallel lines never meet, but to qualify as parallel lines, additional conditions may apply. From Wikipedia: "Two lines in a plane that do not intersect or meet are called parallel lines." Emphasis added.
Perpendicular
Perpendicular is when a line is at a right angle to another. Parallel lines are side by side and even if they were to go on to infinity, would never meet. Therefore the answer is perpendicular.
lines that meet to form a right angle are called? I believe this line is known as a perpendicular line :)