answersLogoWhite

0

Do Parallel lines always intersect

Updated: 4/28/2022
User Avatar

Wiki User

14y ago

Best Answer

In Euclidean Geometry:

they never intersect
___________________
___________________
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).

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Do Parallel lines always intersect
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Do parallel lines ever intersect?

No, parallel lines cannot ever intersect. The have identical slopes. Therefore, they will always remain parallel.


Are all Intersecting lines parallel?

Parallel lines cannot intersect in the Euclidean plane. Intersecting lines are not parallel.


Do coplanar lines always intersect?

No. They could be parallel.


Are Lines that do not intersect are always skew lines?

They may also be parallel lines.


Do perpendicular lines always sometimes or never intersect?

Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.


What is the term for lines that don't intersect?

Coplanar lines that don't intersect are parallel. Lines that are not parallel and do not intersect are skew lines.


Can parallel lines intersect?

No, never. Parallel lines are line that will NEVER intersect.


Why can't parallel lines 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.


What parallel lines intersect?

Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.


Do lines that aren't parallel always intersect?

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.


Will the perpendicular bisectors of a right triangle always intersect?

yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)


Can a parallel lines intersect?

No they cannot.If they were to intersect they wouldn't be known as parallel lines.