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As for example perpendicular lines are non parallel lines.
They may also be parallel lines.
No, But 1 Dimensional Does. The lines may or may not go on forever but that has no effect on whether or not a parallel line will cross.
Yes a trapezium has at least 1 pair of parallel lines however there is dispute that it may have 2 pairs of parallel lines.
A pentagon can have 0, 1 or 2 pairs of parallel lines. It can have 0 to 4 lines perpendicular to an adjacent line. A rhombus must have two pairs of parallel lines and none of them may be perpendicular to any other.