Intersecting or coincident.
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Lines in the same plane that are not parallel are intersecting lines.
If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)
If they are not parallel and do not intersect then they would not be in the same plane (not possible), but they would be called skew lines.
Parallel lines. they never intersect and lie on the same plane.parallel lines
Lines which are parallel. All other lines on the same plane eventually intersect.