Four non-collinear points can form exactly one plane. This is because a plane is defined by three non-collinear points, and adding a fourth point that is not in the same line as the other three does not create a new plane; rather, it remains within the same plane defined by the initial three points. Therefore, all four points lie in the same unique plane.
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
not necassarily
If points m, n, o, and p are arranged such that three of them lie on a straight line, there are two possible scenarios: either three points (e.g., m, n, o) are collinear and the fourth point (p) is not, or all four points are collinear. In the first case, there is one line formed by the three collinear points, and the fourth point can form additional lines with any two of the other three points. Therefore, if only three are collinear, there are multiple lines; if all four are collinear, there is just one line.
yes, any three non collinear points will make a circle, however, four or more will not
-lie in the same plane -are collinear
Just one.
The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).
I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.
exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!
Yes. On any straight line you can find an infinite set of 4 points which are collinear.
not necassarily
Yes, they are.
Yes, they are.
If points m, n, o, and p are arranged such that three of them lie on a straight line, there are two possible scenarios: either three points (e.g., m, n, o) are collinear and the fourth point (p) is not, or all four points are collinear. In the first case, there is one line formed by the three collinear points, and the fourth point can form additional lines with any two of the other three points. Therefore, if only three are collinear, there are multiple lines; if all four are collinear, there is just one line.
yes, any three non collinear points will make a circle, however, four or more will not
all of them are collinear they lie in the same plane
lie on the same plane and are collinear