Question

Which best explains the relationship between lines a and b?

Planes T and X are parallel. Plane T contains line a. Plane X

contains line 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.

Answer 1

They are skew and will never intersect.

Explanation:

WE know that lines are in different planes which are parallel, this means that those planes have the same angle of direction.

If planes are parallel, then all lines inside them are skew, that is, line a and line b will never intersect and they aren't necessarily has to be parallel.

For example, imagine you are in a apartment, parallel planes are the roof and the floor, they are parallel, that is, the will never intersect each other. So, if you have a ruler attached to the roof and another ruler on the floor, you will see that those rulers are not necessarily parallels, and they won't intersect each other because, they have the same angle of direction.

Therefore, the right answer is "They are skew and will never intersect"

Answer 2

Answer: They are skew and will never instersect.

Step-by-step explanation: First of all, they will never instersect because they are in the parallel planes. They are also skew because in the 3 dimensional geometry, they are also not parallel because they can be different directions.