Given ΔLMN where the length of segment NP is greater than the length of segment LP, the following is an indirect paragraph proof proving segment MP is not a median:

Triangle LMN is shown with point P on side LN. A segment is drawn between points M and P.

Assume segment MP is a median. According to the definition of a median, point P is the midpoint of side L N. By the definition of a midpoint NP = LP. This contradicts the given statement. Therefore, segment MP is not a median.

Is the indirect proof logically valid? If so, why? If not, why not?

Yes. Statements are presented in a lo

Question

Given ΔLMN where the length of segment NP is greater than the length of segment LP, the following is an indirect paragraph proof proving segment MP is not a median:

Triangle LMN is shown with point P on side LN. A segment is drawn between points M and P.

Assume segment MP is a median. According to the definition of a median, point P is the midpoint of side L N. By the definition of a midpoint NP = LP. This contradicts the given statement. Therefore, segment MP is not a median.

Is the indirect proof logically valid? If so, why? If not, why not?

 Yes. Statements are presented in a lo

anonymous · Answer

@pinkbubbles

anonymous · Answer

What's the rest of the question?

anonymous · Answer

Yes. The conclusion was used to contradict the assumption.
 No. The conclusion was used to contradict the assumption.
 No. The progression of the statements is logically inaccurate.

anonymous · Answer

@pinkbubbles

anonymous · Answer

Oh Okay! :)

anonymous · Answer

i think Yes. The conclusion was used to contradict the assumption. 
@dan815 and @Hero can you help please?