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Three. That is why three-legged stools are always stable--the ends of their legs define a plane.

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Q: What is the smallest number of distinct points that can define a plane?
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Can two distinct points both exist on two distinct lines?

No. Two distinct points define a single line.


Can two distinct points define a single line?

All lines are defined by two or more distinct points.


How many points determine exactly one line?

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Do 3 distinct points always lie on the same line?

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