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If two planes intersect do they intersect in exactly one plane?
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
Counterexample for two lines in a plane always intersect in exactly one point?
Line #1 ==> Y = x Line #2 ==> Y = x + 1 These two lines are parallel, have no points in common, and never intersect. (3 ways to say the same thing)
Can two planes intersect in infinitely many points?
yes, it may be the two plane intersect at one line or the two planes are coincident.
Through any two points there is exactly?
one plane LINE
What is a closed plane figure formed by three or more line segments that intersect only at their end points?
polygon
If two planes intersect do they intersect in exactly one plane?
No, two planes do not intersect in exactly one plane unless the planes are exactly overlapping, making one plane. In Euclidean Geometry two planes intersect in exactly one line.
Can a plane and a line ever intersect in two points?
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
Do planes intersect in exactly two points?
No. Either they do not intersect at all, or they intersect in a straight line or are the same.
Is it true if points are collinear they are also coplanar?
Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.
A plane in which a horizontal number line and vertical number line intersect at their zero points?
The coordinate plane or grid.
How many points are you a intersection of a line and a plane?
There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
A plane in which a horizontal number line and a vertical number line intersect at their zero points?
Cartesian Or the origin
Counterexample for two lines in a plane always intersect in exactly one point?
Line #1 ==> Y = x Line #2 ==> Y = x + 1 These two lines are parallel, have no points in common, and never intersect. (3 ways to say the same thing)
Can two planes intersect in infinitely many points?
yes, it may be the two plane intersect at one line or the two planes are coincident.
Two planes can intersect on exactly one point?
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
Do three lines that intersect at the same point have to be at the same plane?
No they can be Collinear - Points that lie on the same line.
Can Two planes can intersect in exactly one point?
The intersection of two planes is a line. (or a massive explosion...lol)
