parallel lines ( I think)
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Lines that never intersect are either parallel or skew to each other. If they're both in the same plane (or on the same piece of paper), then they're parallel.
Coplanar lines that do not intersect are parallel. Non-coplanar lines that do not intersect are called skew lines.
If the lines are in the same plane and never intersect they are always parallel. Two line can not intersect and be parallel if they are in different planes though. Take a cube for example, if you have one Sid of it and take the edge and then go to the opposite side and make a horizontal line they will never intersect but are also not parallel.
Parallel lines are always the same distance from each other and never intersect.
Parallel lines