for any three noncollinear points
there is exactly one plane containing them
1) What is the definition of noncollinear points?
Non-collinear points are points that do not lie on the same straight line. This means that any line drawn between them will have to curve or make an angle to connect them.
2) What is the significance or consequence of noncollinear points?
The significance of non-collinear points is that it helps in defining the shape and orientation of geometric figures. In other words, without non-collinear points, it would be impossible to create shapes and figures with distinct characteristics.
3) How can you determine if three points are noncollinear?
To determine if three points are non-collinear, draw an imaginary line segment between each pair of points. If all three line segments intersect at a single point, then the points are non-collinear. If any two of the line segments are parallel or coincide with each other, or all three line segments are on the same straight line, then the points are collinear.
More Answers:
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