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Earn +20 ptsQ: How many planes can contain three point at the same time?
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How many planes will contain 2 points?
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
How many planes will contain three non-collinear points?
Exactly one.
How many planes can contain a line and a point on the line?
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
How many planes can contain 2 intersecting lines?
2
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