Question

planes t and x are parallel. plane t contains line a. plane x contains line b. which best explains the relationship between lines a and b? they are skew and will never intersect. they are parallel and will never intersect. they are perpendicular and will intersect. they will intersect at two points.

Explanation:

• Skew lines are non - parallel and non - intersecting lines that do not lie on the same plane.
• Since planes \(T\) and \(X\) are parallel, line \(a\) (in plane \(T\)) and line \(b\) (in plane \(X\)) cannot be parallel (as there is no information suggesting a direction that would make them parallel) and they cannot intersect (because the planes are parallel).
• Parallel lines must be in the same plane (not the case here as \(a\) and \(b\) are in different parallel planes). Perpendicular lines intersect (but these lines don't intersect). Two lines can intersect at at most one point.

Answer:

They are skew and will never intersect.