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.
false
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
True.
Is true
True!
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.
false
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Yes a plane can always be drawn three any three points, whether they are linear or not.
Yes, if you are talking about Euclidean geometry.
Is true
True.
Is true
True!
It’s true (apex)
Yes, if points P and Q are contained in a plane, then the line segment connecting P and Q, denoted as PQ, is also entirely contained in that plane. This is a fundamental property of planes in Euclidean geometry, where any line segment formed by two points within the same plane must lie entirely within that plane. Therefore, the assertion is correct.
true