Two lines will remain parallel when they are intersected by a transversal line
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.
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 are a specific type of coplanar lines that never intersect and are always the same distance apart. While all parallel lines are coplanar, not all coplanar lines are parallel; coplanar lines can also intersect at some point. Therefore, while the two concepts are related, they are not synonymous.
Perpendicular lines can not be parallel to each other but they can be to other lines.
Yes. Parallel Lines are also two coplanar lines that do not intersect.