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Earn +20 ptsQ: Given any three points is there exactly one plane containing them?
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What is a set of points in a plane that are a given distance from a given point in a plane?
a circle
What is a set of points in a plane that are the same distance from a given point in the plane?
They are points on the circumference of a unique circle in the 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.
Through any three points there exists exactly one plane?
Collinear points
Does a plane containing two points of a line contains the entire line?
yes
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