Question

Planes K and J are parallel. Line p lies in plane K and line q lies in plane J. Which of the following statements must be true? (a) p and q are always parallel. (b) p and q are sometimes parallel. (c) p and q are never parallel. (d) p and q are always coplanar. (e) p and q sometimes intersect.

Answer 1

So the planes are parallel.

Imagine these two as sheets of paper that are parallel. Draw a line any which way you want on them like i did here. So if the two papers are parallel, the lines will never intersect because the lines are IN the plane itself. There is no way p could ever reach over and touch q or vice versa. That means that they'll never intersect at all. Coplanar means that they're in the same plane. But how can the planes ever intersect if they are parallel? The answer is never; so they aren't coplanar either!

Hope that helps :)