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 If they are not on the same plane and never intersect they are skew
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.
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 If they are not on the same plane and never intersect they are skew
Parallel lines
Two lines that are in the same plane and never intersect are called "Parallel," meaning that they are lines with the same slope, but not y-intersect.