In two dimensions the lines would be intersecting lines not perpendicular (I believe this is called transversal, see related link). If you are in three dimensions they would be skew lines, like to jets crossing above you that don't hit each other. One is higher than the other.
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Perpendicular: No Parallel: Yes, two pairs.
I, the top and bottoms lines are parallel, but the vertical line is perpendicular to the top and bottom lines.
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.
No, oblique lines are neither parallel nor perpendicular
Railway lines are parallel