0
Add your answer:
Earn +20 pts
What geometric figure results when two perpendicular planes intersect?
A line.
When two planes intersect do they intersect in a straight line?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Two planes are perpendicular if?
If they meet at right angles
What is the relation between two lines perpendicular to the same line?
They're parallel.
If two lines are perpendicular to the same line then the two lines are parallel?
They are parallel to each other.
Can two planes contains the same line?
Yes. A line can be the intersection of two planes, or any number of planes. A real-world example would be the central axis (axle) of a paddlewheel on a steamboat, which would be coplanar with all of the planes represented by the individual paddles. A single line is similarly the intersection of perpendicular planes.
What geometric figure results when two perpendicular planes intersect?
A line.
Can a given line be in two planes?
Two planes intersect at a line. The line where they intersect pertains to both planes. In the same manner, if infinitely many planes intersect each other at the same line, then that line pertains to the infinitely many planes.
How do you draw a line that intersects two nonintersecting planes?
If the planes are non-intersecting, then they're parallel. Any line that intersects one of them intersects both of them.
What are two lines that are perpendicular to the same line?
parallel
In a plane if two lines are perpendicular to the same line then they are parallel to each other?
Yes they are. It's a postulate: In a plane two lines perpendicular to the same line are parallel.
What does it mean for something to be perpendicular?
For two items (Planes, lines, line segments, ect.) to be perpendicular that means that they meet at a 90 degree angle. Perpendicularity is denoted by the ⊥ symbol. For example line AB ⊥ line CD would mean that the line AB would be perpendicular to the line CD.
Line n is perpendicular to line m. Line l is perpendicular to line m. Is it possible for line n and line l to be skew?
No. It's impossible. There's a corollary that states: If two lines are perpendicular to the same line, then the two lines are parallel.
Two lines perpendicular to the same line are perpendicular to each other true or false?
TRUE:: The first two lines lie in the same plain, but are perpendicular to each other. The third line passes through the plane of the first two lines so it is also perpendicular. Think 3-dimension. !!!!!
If Two lines perpendicular to the same line are perpendicular to each other?
No. Two lines perpendicular to the same line are parallel to each other. I am doing this for my geometry homework right now trying to recall the name of the postulate/theorem stating it.
When two planes intersect do they intersect in a straight line?
Yes. If two planes are not coincident (the same plane) and are not parallel, then they intersect in one straight line.
Angle formed by intersecting planes?
A line. Unless the two planes are the same, in that case a plane.
