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Why do three points sometimes contained in more than one plane?
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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.
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.
Is it true that any three points are contained in exactly one plane?
Yes, if you are talking about Euclidean geometry.
What do three points form in geometry?
A plane is named by three points in the plane that is not on the same line.
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.
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.
Through any three points there is exactly one plane cointaining them?
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Can one plane sometimes pass through three noncollinear points?
no
Is it true that any three points are contained in exactly one plane?
Yes, if you are talking about Euclidean geometry.
Are three points always contained in exactly one plane?
Three points determine exactly one plane.That means that if you bring me a plane, then some or all of my three points may ormay not lie in your plane. But if you bring me three points, then I can always draw aplane 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.
What do three points form in geometry?
A plane is named by three points in the plane that is not on the same line.
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
Three points that determine a plane?
Any 3 points determine a plane.
Can each plane be uniquely defined by three points?
Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)
Is it true without exception that if P Q R are points contained by plane X and also by plane Y then X is the same plane as Y?
No. If the points are all in a straight line, then they could lie along the line of intersection of both planes. Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.
