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Two lines will remain parallel when they are intersected by a transversal line

Q: If two lines intersect can they also be parallel explain?

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No. Parallel lines do not intersect; perpendicular lines intersect at 90 degrees

Skew lines.

They may also be parallel lines.

No, they can't be, if they intersect. This is because any two lines parallel to the same line are also parallel. And since they intersect, they aren't parallel.

no. if they touch, then they cannot be parallel.

Related questions

No. Parallel lines do not intersect; perpendicular lines intersect at 90 degrees

Skew lines.

No.

They may also be parallel lines.

skew lines are noncoplanar lines, which means they aren't parallel and they also don't intersect skew lines do not intersect and are not coplanar

No, they can't be, if they intersect. This is because any two lines parallel to the same line are also parallel. And since they intersect, they aren't parallel.

no. if they touch, then they cannot be parallel.

No, if the lines were in the same plane they would be parallel and never intersect

If the lines are in the same plane and never intersect they are always parallel. Two line can not intersect and be parallel if they are in different planes though. Take a cube for example, if you have one Sid of it and take the edge and then go to the opposite side and make a horizontal line they will never intersect but are also not parallel.

Parallel lines only meet at inifinuty. Perpendiculr lines can intersect, but can also miss each other, but still be perpendicular to each other.

Yes. Parallel Lines are also two coplanar lines that do not intersect.

The two lines are identical.