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 \(X\)) are not in the same plane.
• They are not parallel (as there is no information suggesting they have the same direction) and cannot intersect (because the planes they are in are parallel).

Answer:

They are skew and will never intersect.