Geometry... Please help!

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Geometry... Please help!

Mathematics
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Other answers:

  • phi
these are a bit tricky. The first thing to do is read the theorem. What facts do they want to show?
I'm not sure what you mean...
  • phi
At the top of the page, it gives a theorem. What does the theorem say?
The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
But what does that mean? I don't understand the theorem itself...
  • phi
yes. there are two things the theorem says: 1) segment is parallel to the 3rd side 2) 1/2 its length those are the facts you have to prove. So those 2 facts should come at the end of the proof
okay...?
  • phi
But what does that mean? |dw:1359066662711:dw|
  • phi
Do you understand ? the segment connects the middle of each leg now back to the problem. Can you figure out which statements are the 2 facts the theorem has to prove? which statements mean 1) segment is parallel to the 3rd side 2) 1/2 its length
  • phi
Lost ?
4?
  • phi
Let's answer one at a time Of the statements I, II, III, IV, and V which one says segment is parallel to the 3rd side
1
  • phi
yes. So statement I is one of the things that has to be proved. That means it can't be first. You don't start a proof by writing the conclusion first. Let's try to figure out what statement comes BEFORE statement I Statements IV and V talk about lengths, so I think those are for the other statement to prove. We will get to those later. Now of the statements that are left: II and III which one would you use to say you have parallel lines (proving statement I)
  • phi
In other words, look at the reason for statement I. which of the other statements support that reason ?
3 because it talks about having equal slopes?
  • phi
yes, so we have (so far) III, I if any of the answer choices have I before III we should cross it off the list
  • phi
now look a the reason for statement III: by the slope formula do you know what the formula is for finding the slope? what do you need to know to use the slope formula?
  • phi
remember slope is change in y divided by change in x
y=mx+b you have to know the y intercept and I forgot the other part
  • phi
that is the equation for a line in slope-intercept form. to find the slope m, you find the change in y divided by the change in x you need two points (x1,y1) and (x2,y2) so you can find (y2-y1)/(x2-x1) which of the statements gives you 2 points so you can find the slope?
2
  • phi
Yes, now we have II, III, I we have to do the statements in that order. II gives us points that we use in III to find the slopes that we use in I to say the slopes are = so if any of the answers has II after either III or I, you should cross it off. Have you done that yet?
So it's D? Thanks!
  • phi
double check. D has II at the end. But we know the order has to be II, III, I So I would cross off D
  • phi
look for a choice that II, III, I in that order (and ignore IV and V)
my bad, i meant to say B (typo)
  • phi
OK, I was wondering how you could pick D. notice we did not have to figure out the order of statements IV and V but you should know that V is the conclusion: it says the segment is 1/2 the length of side AC. A conclusion comes last. so the other statements have to be in the order IV, V
Okay, can you help me with another?
@phi can you help with another?
  • phi
ok post it

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