Geometry... Please help!

- anonymous

Geometry... Please help!

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- anonymous

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- anonymous

@phi

- anonymous

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## More answers

- phi

these are a bit tricky.
The first thing to do is read the theorem. What facts do they want to show?

- anonymous

I'm not sure what you mean...

- phi

At the top of the page, it gives a theorem. What does the theorem say?

- anonymous

The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

- anonymous

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

- anonymous

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 ?

- anonymous

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

- anonymous

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 ?

- anonymous

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

- anonymous

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?

- anonymous

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?

- anonymous

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)

- anonymous

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

- anonymous

Okay, can you help me with another?

- anonymous

@phi can you help with another?

- phi

ok post it

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