Mila drew two line segments that did not intersect and were not parallell?

its impossible

Line segments are of finite length. So it is possible for them to not be parallel and also not intersect.

However, if you have two infinite lines in a common plane, they must either be parallel or intersect.

In three dimensions it is possible for lines to neither be parallel nor intersect. Such lines are called skew lines.

The two lines were skew lines. They were not in the same plane. If the two planes containing each line are parallel, they will never intersect.

If you leave plane geometry and look at some of the non-Euclidean geometries, you get cases where all lines intersect, where triangles have greater than 180 degrees, and other things that contradict Euclidean geometry.

That depends how they were "drawn". In standard Euclidean 2-space, lines must either intersect or be parallel, but in 3-space, there exist skew lines which do not intersect and are not parallel because of the additional parameter.

Yes, if they were lines they would intersect at some point. Two lines must be parallel for them NOT to intersect.

case a million: strains are parallel if the enter slopes are equivalent, output "parallel strains" case 2: strains coincide if all enter variables are same, output "same line" case 3: strains intersect i'm actual now puzzled at what's enter to the function, so i'm no longer able to tutor you a thank you to out...

yes. as lines keep going forever, if thy're not parallel, they would eventually at some point intersect.

Well were they curved lines. They aren't Parallel, Then they will connect.