Question

Use ABC to answer the question that follows.



When written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point.


Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof?
Answer
IV, II, III, I
II, IV, I, III
IV, II, I, III
II, IV, III, I

Answer 1

do u get this

Answer 2

I'm just now reading it. I understand the question.

Answer 3

ok thanks im just really stumped

Answer 4

It is one of these two: II, IV, I, III or II, IV, III, I
and I'm working on deciding which one.
Hold on.

Answer 5

II, IV, I, III

Answer 6

thank you!! would u mind looking at the one i just posted... kinda tricky i think

Answer 7

I looked at the steps and thought like this. If there is a parallelogram, then there has to be parallel lines. So, a step about parallel lines has to come before a statement about the parallelogram. I did not know which of the two sets of parallel lines came first in the proof so I looked to see which ones were sides of the parallelogram. Then, there was that substitution statement about parallel lines which I had never heard. But, I figured that some segments had been extended. So, the parallel lines - substitution statement would come after the parallel lines - midsegment statement. Then, the diagonals of a parallelogram statement would follow that.
Here's the thing: this is not the way anybody studies Geometry. To properly explain the proof, we would need to begin from scratch and do all the steps which would exceed four key steps for sure. So, don't feel bad about this question. I just hope I pieced together the order of the key steps in a correct manner.

Answer 8

thank you it makes much more sense