Two lines of a plane are said to be parallel if they do not intersect and the perpendicular distance betweem them is always same.
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Things in the same plane are coplanar.
Rays aren't really lines, since (Euclidean) lines extend infinitely in all directions, so they can't be parallel lines. But that's to fret a bit too much over the wording. Yes, rays, just like lines and line segments, can be parallel to other rays, lines, or line segments.
A set of points, lines, line segments, rays or any other geometrical shapes that lie on the same plane are said to be Coplanar.
6 points
that is impossible. if they aren't parrallel, and they're rays they have to intersect at some point. This is because rays spread at both ends. The above answer is only correct if the rays on drawn on the same plane or if they are drawn on convergent (intersecting) planes, so the correct answer is the two rays must be drawn on separate planes that are not convergent, since all non-parallel lines on the same plane, or on convergent planes, will eventually intersect. If they are drawn in 3 dimensions than you can avoid them intersecting. Perhaps the questions is not specific enough?