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.
Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.
Sometimes.
The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.
A quadrilateral is a closed plane figure with four straight sides.
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.
lie on the same plane and are collinear
-lie in the same plane -are collinear
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).
all of them are collinear they lie in the same plane
Yes, since any line can be contained in a plane.
Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.
C. They lie in the same plane D. They are collinear
Yes. On any straight line you can find an infinite set of 4 points which are collinear.
Yes, they are.
Yes, they are.
not necassarily