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Sunshine447

  • 3 years ago

Geometry... Please help!

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  1. Sunshine447
    • 3 years ago
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  2. Sunshine447
    • 3 years ago
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    @phi

  3. Sunshine447
    • 3 years ago
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    @jim_thompson5910

  4. phi
    • 3 years ago
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    these are a bit tricky. The first thing to do is read the theorem. What facts do they want to show?

  5. Sunshine447
    • 3 years ago
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    I'm not sure what you mean...

  6. phi
    • 3 years ago
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    At the top of the page, it gives a theorem. What does the theorem say?

  7. Sunshine447
    • 3 years ago
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    The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

  8. Sunshine447
    • 3 years ago
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    But what does that mean? I don't understand the theorem itself...

  9. phi
    • 3 years ago
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    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

  10. Sunshine447
    • 3 years ago
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    okay...?

  11. phi
    • 3 years ago
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    But what does that mean? |dw:1359066662711:dw|

  12. phi
    • 3 years ago
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    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

  13. phi
    • 3 years ago
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    Lost ?

  14. Sunshine447
    • 3 years ago
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    4?

  15. phi
    • 3 years ago
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    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

  16. Sunshine447
    • 3 years ago
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    1

  17. phi
    • 3 years ago
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    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)

  18. phi
    • 3 years ago
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    In other words, look at the reason for statement I. which of the other statements support that reason ?

  19. Sunshine447
    • 3 years ago
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    3 because it talks about having equal slopes?

  20. phi
    • 3 years ago
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    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

  21. phi
    • 3 years ago
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    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?

  22. phi
    • 3 years ago
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    remember slope is change in y divided by change in x

  23. Sunshine447
    • 3 years ago
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    y=mx+b you have to know the y intercept and I forgot the other part

  24. phi
    • 3 years ago
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    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?

  25. Sunshine447
    • 3 years ago
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    2

  26. phi
    • 3 years ago
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    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?

  27. Sunshine447
    • 3 years ago
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    So it's D? Thanks!

  28. phi
    • 3 years ago
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    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

  29. phi
    • 3 years ago
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    look for a choice that II, III, I in that order (and ignore IV and V)

  30. Sunshine447
    • 3 years ago
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    my bad, i meant to say B (typo)

  31. phi
    • 3 years ago
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    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

  32. Sunshine447
    • 3 years ago
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    Okay, can you help me with another?

  33. Sunshine447
    • 3 years ago
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    @phi can you help with another?

  34. phi
    • 3 years ago
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    ok post it

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