(CAN SOMEONE HELP ME WITH THIS)
Prove: If two points are collinear, then the two points lie on the same line.

A. By definition, the two lines are not collinear.
B. If two points do not lie on the same line, then they are not collinear. Therefore, if two points are collinear, then they lie on the same line (proof by contraposition).
C. Assume that the two points lie on different lines.

A.)A, C, B
C.)C, A, B
D.)C, B, A

Question

(CAN SOMEONE HELP ME WITH THIS)
Prove: If two points are collinear, then the two points lie on the same line.

A. By definition, the two lines are not collinear.
B. If two points do not lie on the same line, then they are not collinear. Therefore, if two points are collinear, then they lie on the same line (proof by contraposition).
C. Assume that the two points lie on different lines. 

A.)A, C, B
C.)C, A, B
D.)C, B, A

anonymous · Answer

Ive crossed out B.) as my answer already.

anonymous · Answer

B.

anonymous · Answer

B is not my answer..

anonymous · Answer

sorry im reading the choices wrong.

anonymous · Answer

oh. haha.

anonymous · Answer

I would go for C.

anonymous · Answer

Whys that?? I was thinking it might be A. for some reason.

anonymous · Answer

wait i dont get this lol. how do these choices work?

anonymous · Answer

the A. A, C, B and so on is suggesting the order of the statements right? @ashleyvee

anonymous · Answer

you have A B and C in a random order. I guess you have to put them in the correct order. which would be ..A.)A, C, B
C.)C, A, B
D.)C, B, A

anonymous · Answer

@genius12  So it would be A. or should i still go with C. as my answer?

jim_thompson5910 · Answer

you're basically doing another proof by contradiction

anonymous · Answer

I dont understand the order though.

jim_thompson5910 · Answer

You start by assuming that the two points lie on different lines (C)

this leads you to the fact that the two points aren't collinear (B)

and A is an odd wording...I think it meant to say "points" instead of lines

anonymous · Answer

Ohh.. i see what you mean now.

anonymous · Answer

@jim_thompson5910 is correct. The reason for why this is a proof by contradiction is because you first assume the opposite of what you are to prove. In this case we are to prove that if two points are collinear, then they lie on the same line. We assume the opposite; that the points are not collinear. If we prove the contradiction wrong, then the original statement is correct.

anonymous · Answer

D would be correct. Thanks!(:

anonymous · Answer

So C.) would be our first step to start off the proof by contradiction.
B.) would be our second step in this proof.
And we end it with A.) to conclude the proof by contraposition.

So it would be D.

anonymous · Answer

@ashleyvee