Question

Is the converse of the true statement also true?
If four points are non-coplanar, then they are non-collinear.





A.

Yes, it is true.





B.

No, it is false

Answer 1

Converse: If four points are non-collinear, then they are non-coplanar.

In order to define multiple planes, you need to have at least 3 non-colinear points. Four points can be non-colinear and still be coplanar if the volume created is 0.

For example, imagine a triangular pyramid. It is defined by its four verticies. If you take the top of the pyramid and squash it down so its flat, you just have a triangle with an extra dot in the center.

Answer 2

false