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Earn +20 ptsQ: Is it true that any three points are contained in exactly one plane?
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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.
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
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.
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.
Through any three points there exists exactly one plane?
Collinear points
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