0
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Rene
TaigaAdd your answer:
Earn +20 pts
Points all in one plane?
Two dimensional geometry.
Can there be four points in one plane?
There can be any number of points on a plane, or even on a line - and any number of lines on a plane.
Is it true that three points are always contained in exactly one plane?
3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
What three points determine a pane?
Any 3 geometric points, as long as they are all in different locations and not superimposed on each other, will define a plane. In other words, there is only one plane that can pass through 3 distinct points. If you had only two points, it would define a line, but not a plane. A plane can include 2 points but if there are only 2 that are specified, the plane can rotate around those 2 points, generating infinitely many planes.
How many planes can be formed with four non collinear points?
Four non-collinear points can form exactly one plane. This is because a plane is defined by three non-collinear points, and adding a fourth point that is not in the same line as the other three does not create a new plane; rather, it remains within the same plane defined by the initial three points. Therefore, all four points lie in the same unique plane.
