Explanation:
Daniela : nice definition
Ori : part is right, but part is not
Kaori : incorrect
Daniela would not even have to say, that the lines are distinct. in any case, yes if you don't change anything about the appearance of the lines, but can move them on top of each other. and they completely blend in with each other, then yes they are parallel.
Ori is wrong about the part that they have to be close together. the second line could be in another galaxy, but if they are in the same plane and never intersect each other, then they are parallel.
Kaori is wrong by understanding that parallel means to opposite of perpendicular. perpendicular just means that the 2 lines are intersecting each other at a right angle (90°). but they can intersect at any other angle. that makes them not perpendicular, but they still intersect each other. so, they are not parallel.