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.

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.

dragons1415 · Answer

A. Four points are non-coplanar if and only if they are non-collinear. 
B. If and only if four points are non-collinear are they non-coplanar. 
C. Counterexample: If four points are non-coplanar, they still may be collinear. 
D. Counterexample: Four points may be non-collinear and yet lie in the same plane.

anonymous · Answer

I believe D is the answer. I know A and B are not right cuz 4 points can be non-collinear but  can still be coplanar

dragons1415 · Answer

Thanks! :D

anonymous · Answer

Dont hate me if I get it wrong ;-;

dragons1415 · Answer

If its wrong, I wouldn't blame you .-. i forget what i just learn >.< lol

anonymous · Answer

What unit is this? I forgot. might be able to look into it.

dragons1415 · Answer

it depends on the homeschool program lol

anonymous · Answer

Im in one called Keystone lol but Units should be named the same.

dragons1415 · Answer

Im in PA cyber and the units are just numbered lol