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Through any three points not on a line there is one?
between two point there is exactly one line between three points there is exactly one plane
Do planes contain exactly three points?
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
Do three collinear points lie in exactly one plane?
yes
Can four points contain exactly one plane?
yes if it is a square of recatgle
Can three points be noncoplanar?
No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
Through any two points there is exactly?
one plane LINE
Through any three points there is exactly one plane cointaining them?
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Is there exactly one line through two points?
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
Through any three points not on a line there is one?
between two point there is exactly one line between three points there is exactly one plane
Do planes contain exactly three points?
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
Are three points always contained in exactly one plane?
Three points determine exactly one plane.That means that if you bring me a plane, then some or all of my three points may ormay not lie in your plane. But if you bring me three points, then I can always draw aplane in which all of your points lie, and I can also guarantee that it's the only one.By the way ... three points also determine exactly one circle.
Any two points are contained in exactly one plane?
false
Can a line and a plane intersect at exactly two points?
No, that isn't possible.
Do three collinear points lie in exactly one plane?
yes
Can four points contain exactly one plane?
yes if it is a square of recatgle
How many non-collinear points are there in one plane?
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
Can 3 points be non-coplanar is outside the plane?
If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.
