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I don't think so. When something is parallel they never touch and they always keep the same distance apart. So I don't think they can be parallel and intersecting at the same time.

Q: Can two lines and faces be both parallel and intersecting?

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no. its impossible. Parallel mean lines that never touch. unless you have more than two lines. than you can make two parallel and or more intersecting them both.

Not normally unless the parallel lines are intersected by a transversal line

NO. Line are always parallel or intersecting. They're never both at the same time.

no, if two lines are not parallel then the will eventually have to intersect.Alternate perspective:Yes, if two lines are non-parallel, they need not intersect in three dimensional space.

there both lines

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no. its impossible. Parallel mean lines that never touch. unless you have more than two lines. than you can make two parallel and or more intersecting them both.

Not normally unless the parallel lines are intersected by a transversal line

NO. Line are always parallel or intersecting. They're never both at the same time.

no, if two lines are not parallel then the will eventually have to intersect.Alternate perspective:Yes, if two lines are non-parallel, they need not intersect in three dimensional space.

Not in Euclidean geometry, but in other geometries such lines are possible.

there both lines

Perpendicular lines are specific kinds of intersecting lines. They both cross paths. Intersecting lines can cross paths in any way, but perpendicular lines have to cross at right angles.

No; there is no physical way to intersect a plane and a double-napped cone to obtain parallel lines. The problem lies in getting a second line that doesn't intersect the first, since both cones intersect at a point, there is no way get a second line without intersecting the first line.

If the intersected lines are parallel then the angles are called equal alternate angles

a triangle

They both cross paths. Intersecting lines can cross paths in any ways, but perpendicular lines have to cross at 90 degrees.

Both lines intersect other lines, but the difference is a perpendicular line intersects another line at a 90 degree angle meanwhile the intersecting lines can meet at any angle