In Euclidean Geometry:
they never intersect
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they look like this thay go on and never touch.
In Non-Euclidean Geometry:
Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)Naren BITS 18:36, 7 Jan 2009 (UTC)
They never intersect according to Euclid. But if u consider non-euclidean geometry, they do. (when the surfaces are uneven).
Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.
Yes, that's what makes them parallel lines - they have the same slope. So they never will intersect with each other. If a set of lines didn't have the same slope, at some point they would intersect and thus would not be parallel.
They are parallel lines
Parallel lines
Skew lines
No, parallel lines cannot ever intersect. The have identical slopes. Therefore, they will always remain parallel.
Parallel lines cannot intersect in the Euclidean plane. Intersecting lines are not parallel.
No. They could be parallel.
They may also be parallel lines.
Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.
Coplanar lines that don't intersect are parallel. Lines that are not parallel and do not intersect are skew lines.
No, never. Parallel lines are line that will NEVER intersect.
In Euclidian geometry, which is the geometry of a plane surface, parallel lines do not intersect because that is the definition of parallel lines. But note that there are other geometrical systems in which parallel lines do intersect, for example if they are drawn on the surface of a sphere. Definition of parallel lines: Lines that always stay the same distance apart and never meet.
Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.
Yes, they do. By definition, lines that never intersect must be parallel, so all non-parallel lines must intersect at some point. Given that they are normal lines (y=mx+b) they will always have a point that suffices the equation when they are set equal to each other.
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
No they cannot.If they were to intersect they wouldn't be known as parallel lines.