The term for lines in a plane that do not intersect is "parallel lines." Parallel lines maintain a constant distance from each other and will never meet, regardless of how far they are extended in either direction. In Euclidean geometry, parallel lines exist in the same plane and have the same slope.
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
Lines which are parallel. All other lines on the same plane eventually intersect.
Lines that that intersect each other at right angles on a plane are perpendicular 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)
Parallel lines.
Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect Lines in the same plane that do not intersect
All non-parallel lines in a plane will intersect at some point in the plane.
Two lines that do not intersect on the same plane are Parallel lines.
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
If they intersect they are refered to as skew lines and if the do not the term for this is that they are parallel lines.
Lines which are parallel. All other lines on the same plane eventually intersect.
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
Lines that that intersect each other at right angles on a plane are perpendicular lines.
Lines that that intersect each other at right angles on a plane are perpendicular 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)
Parallel lines
Parallel lines.