Question

Determine if the conditional and its converse are true. If they are both true, select which biconditional correctly represents them. If either the conditional or the converse is false, select the counterexample which disproves the statement:. If four points are non-coplanar, then they are non-collinear.. If four points are non-collinear, then they are non-coplanar. these are the choices:
A) Counterexample: If four points are non-coplanar, they still may be collinear.

B) If and only if four points are non-collinear are they non-coplanar.

C) Four points are non-coplanar if and only if they are non-collinear.

D) Counterexample: Four points may be non-collinear and yet lie in the same plane.

Answer 1

If 4 points are non-coplanar, then they are non-collinear....true

if 4 points are non-collinear, then they are non-coplanar...false
counter example : 4 points may be non-collinear and yet lie in the same plane.