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Three points determine exactly one plane.
That means that if you bring me a plane, then some or all of my three points may or
may not lie in your plane. But if you bring me three points, then I can always draw a
plane 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.
What else can I help you with?
Any two points are contained in exactly one plane?
false
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
If points P and Q are contained in a plane then is entirely contained in that plane.?
True.
If points F and G are contained in a plane then is entirely contained in that plane.?
Is true
If points R and S are contained in a plane then is entirely contained in that plane.?
True!
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.
Any two points are contained in exactly one plane?
false
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
Are three noncollinear points always contained in only one plane?
Yes a plane can always be drawn three any three points, whether they are linear or not.
Is it true that any three points are contained in exactly one plane?
Yes, if you are talking about Euclidean geometry.
If points F and G are contained in a plane then is entirely contained in that plane?
Is true
If points P and Q are contained in a plane then is entirely contained in that plane.?
True.
If points F and G are contained in a plane then is entirely contained in that plane.?
Is true
If points R and S are contained in a plane then is entirely contained in that plane.?
True!
If points r and s are contained in a plane then rs is entirely contained in that plane?
It’s true (apex)
If points p and q are contained in a plane then pq is entirely contained in that plane?
true
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
