geometry (please explain)

Question

In triangle MNO, angle NMO and angle NOM are congruent. To prove segment MN and segment ON are congruent using a proof by contradiction, what is the assumption statement that starts the proof?

 A. Segment MN is not congruent to segment ON. 

B. Segment MN is congruent to segment ON. 

C. Angle NMO and angle NOM are not congruent.

 D. Angle NMO and angle NOM are congruent.

Answer 1

To do a proof by contradiction, always start with the opposite of what you are trying to prove. Then you work from there towards the given information until you reach a contradiction.

So, to prove that segment MN and segment ON are congruent, start by stating they are NOT congruent,