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?

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?

anonymous · Answer

Yes. Statements are presented in a logical order using the correct theorems.

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

I believe the second choice is the most correct because  it is true when applied to the problem.

anonymous · Answer

Not good at geometry, sorry :/ @mathstudent55 might be able to help

goformit100 · Answer

I am Not good at geometry, sorry :'(

goformit100 · Answer

♥ @satellite73  ♥ HELP HERE Please.

jocelynstalnaker · Answer

Well..

anonymous · Answer

I'm leaning more towards the second one as well.

anonymous · Answer

I have a additional question as well: 
Alex wrote the following indirect proof:
Prove: 13 is a factor of 195
Step 1: Assume that 13 is not a factor of 195.
Step 2: 195 divided by 13 is 15.
Step 3: A factor is an integer by which another integer is a multiple.
Step 4: Therefore, 13 must be a factor of 195.
Which step in Alex's proof is incorrect?

jigglypuff314 · Answer

Please post different questions as a different question post

anonymous · Answer

@jigglypuff314  Will do, thanks. Do you have any advice in regards to the question?

jigglypuff314 · Answer

try looking at this one: http://openstudy.com/study#/updates/52803635e4b022369a7ce338

armyrangers · Answer

Well I have no clue sorry

anonymous · Answer

I didn't quite understand his explanation @jigglypuff314

jigglypuff314 · Answer

he basically gave you the answer... "Step 3 isn't a step"

and for your first question, option 2 is correct

anonymous · Answer

Thank you! For the first question, option two was incorrect. I chose that answer the first time. @jigglypuff314

jigglypuff314 · Answer

oh alright then...