Two planes that lie in parallel planes are ________. Answers: Always, Never, or Sometimes
I'm having some trouble on this one... I think it's sometimes...?
sometimes what?
Is there a typo here? The required answer is "always parallel".
actually, the question is ill-worded. What does it mean for a plane to lie in a plane?
I think they mean polygons, or plane figure, or region which lies in a plane.
Associated with a plane is a normal vector, which is perpendicular to it. Parallel planes have normals which have the same or opposite direction. That is, the normals are parallel.
You're correct! Two planes that lie in parallel planes are sometimes parallel to each other.
To understand this concept, let's first define what it means for two planes to be parallel. Two planes are considered parallel if they do not intersect, meaning they never meet or touch each other.
Now, imagine two sets of parallel lines. If we have two planes, each containing one set of parallel lines, and these two planes are parallel to each other, we can say that the two planes lying in parallel planes are also parallel to each other.
However, it's important to note that this is not always the case. If the two planes contain different sets of parallel lines that do not align, they will not be parallel to each other. So, in some cases, two planes that lie in parallel planes are not parallel to each other.
Therefore, the correct answer to your question is sometimes, as it depends on the orientation of the parallel lines within each plane.