Q: Do lines that aren't parallel always intersect?

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No. They could be parallel.

They may also be parallel lines.

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.

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.

Related questions

Curve line?

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.

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.

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.

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

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.