Question

Given 3 non-collinear points, which of the following statements are not true?

There is only 1 plane that contains all 3 points.
They will be contained in the same line.
Any of the 3 points can be the intersection of 2 planes.
Any 2 of the points defines a line entirely within the plane.

Answer 1

Non-collinear points are points that do not form a straight line. Three non-collinear points create a plane therefore they are always coplanar. Therefore the statements which are not true are:

They will be contained in the same line.

Any of the 3 points can be the intersection of 2 planes.

Answer 2

Non-collinear points are points which do not form a straight line. Three non-collinear points create a plane therefore they are always coplanar. Therefore the statements which are not true are:

They will be contained in the same line.

Any of the 3 points can be the intersection of 2 planes.