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 will intersect at two points. they are perpendicular and will intersect. they are parallel and will never intersect.

Explanation:

Step1: Recall the definition of skew lines

Skew lines are non - parallel and non - intersecting lines that do not lie on the same plane.

Step2: Analyze the given situation

Planes \(T\) and \(X\) are parallel. Line \(a\) is in plane \(T\) and line \(b\) is in plane \(X\). Since the planes are parallel, the lines \(a\) and \(b\) cannot intersect. Also, from the diagram (by direction of arrows), they are not parallel.

Answer:

They are skew and will never intersect.