Two planes intersect at a line
For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.
line
boundary line
SOMETIMES. I just did that problem in my California geometry book. They can either be parallel or skew...making the answer sometimes.
There is no "the" since there are infinitely many non-parallel planes. Two non-parallel planes are planes that intersect in a line.
two planes intersect in one line, or the planes could be parallel. by the way there is no such thing as skew planes...
if there are two planes, and they are parallel, then i would assume that their lines are parallel too. so yeh yeh a line in one plane is parallel to a line in the other plane...since they are parallel(:ha * * * * * No. Consider yourself in a cuboid room. The wall in front of you and the wall behind you are parallel planes. There is a line on the wall behind you that goes vertically, from the floor to the ceiling. There is a line on the wall in front of you that goes horizontally from left to right. These two lines are on parallel planes, but the lines are NOT parallel. So, (: ha to the person who answered the question previously!
If there are two unique, non-parallel planes in space, they will intersect, and their intersection will be a line.
In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.
No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
...parallel to each other.
Two planes do not intersect at all if the planes are parallel in three-dimensional space.
If the planes are non-intersecting, then they're parallel. Any line that intersects one of them intersects both of them.
parallel planes
Some planes are parallel and don't intersect at all. Those that do intersect (and that are not coincident, i.e. the same plane) intersect in a line.