Final answer:
To determine if lines are parallel, perpendicular or skew, one must understand their geometric definitions. Parallel lines never meet, perpendicular lines intersect at a 90° angle, and skew lines are non-intersecting and non-parallel lines in different planes. Without specific context, we can't definitively identify the relationship of the lines in question.
Step-by-step explanation:
The student's question, 'The lines below are ___,' requires determining the relationship between lines in a geometric sense. The relationships between lines include parallel, perpendicular, and skew lines.
Parallel lines are lines in the same plane that do not intersect, no matter how far they are extended. For example, all three lines are parallel to each other and along the x-axis, similar to railway tracks in linear perspective that appear to converge in the distance but are actually parallel.
Perpendicular lines intersect at a 90° angle. Consider two lines perpendicular to each other forming this angle. They could be aligned or anti-aligned, but they would still intersect at right angles. Methane molecules' structure can be shown using perspective drawings that display bonds as lines perpendicular at different points, called 'vortexes.'
Skew lines are lines that do not intersect and are not parallel because they are in different planes. These cannot be demonstrated in two dimensions and have no unique angle between them.
To solve the student's question directly, more context is needed to determine the exact relationship between the lines.