Not only that; to be "perpendicular", they have to cross at an angle of 90 degrees.
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When two perpendicular lines cross, a right angle is formed.
Railroad tracks or the number 11 are parallel lines. A cross or a small t are perpendicular lines. Also the two ll's in the middle of parallel are parallel lines.
Perpendicular lines are any two lines that intersect at a 90 degree angle.
Perpendicular: No Parallel: Yes, two pairs.
Non-perpendicular intersecting lines. There is no special name.