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luisz

  • 3 years ago

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side. Given: ∆ABC Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC. Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by th

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  1. luisz
    • 3 years ago
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    eh

  2. luisz
    • 3 years ago
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    hold on

  3. luisz
    • 3 years ago
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    Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side. Given: ∆ABC Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC. Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. Label point E so it is the midpoint of Line segment BC with an ordered pair of Ordered pair the quantity of x sub 1 plus x sub 2 divided by 2; the quantity of 0 plus y sub 1 divided by 2 by the Midpoint Formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the definition of parallel lines.

  4. luisz
    • 3 years ago
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    does that help at all?

  5. luisz
    • 3 years ago
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    http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1001/1001_G4_Q12b.gif

  6. luisz
    • 3 years ago
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    hold up

  7. luisz
    • 3 years ago
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  8. luisz
    • 3 years ago
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  9. luisz
    • 3 years ago
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  10. luisz
    • 3 years ago
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  11. luisz
    • 3 years ago
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    helps any?

  12. luisz
    • 3 years ago
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    you guys there?

  13. luisz
    • 3 years ago
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    oh....

  14. luisz
    • 3 years ago
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    forgot

  15. luisz
    • 3 years ago
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    here are the answer choices...

  16. luisz
    • 3 years ago
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    What is the flaw in Gina’s proof? Points D and E must be constructed, not simply labeled, as midpoints. Segments DE and AC are parallel by construction. The slope of segments DE and AC is not 0. The coordinates of D and E were found using the Distance between Two Points Postulate

  17. KingGeorge
    • 3 years ago
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    Is it this question? http://assets.openstudy.com/updates/attachments/4fe3df92e4b06e92b872936f-yourmom14-1340333980899-georgeiiieiehjkdhkjs.jpg

  18. luisz
    • 3 years ago
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    where did you find that?

  19. KingGeorge
    • 3 years ago
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    It was a question I answered two days ago.

  20. luisz
    • 3 years ago
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    Did you find it on FLVS online?

  21. luisz
    • 3 years ago
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    I am a Florida Virtual School Student

  22. luisz
    • 3 years ago
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    so

  23. luisz
    • 3 years ago
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    can you help me out here?

  24. KingGeorge
    • 3 years ago
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    First off, which choices can we easily eliminate?

  25. luisz
    • 3 years ago
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    Choice three is erroneous

  26. luisz
    • 3 years ago
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    AC is 0

  27. KingGeorge
    • 3 years ago
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    Right, any others you can see are obviously wrong?

  28. luisz
    • 3 years ago
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    and the distance formula was never used, so we can eliminate 4

  29. luisz
    • 3 years ago
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    But there was a flaw in her work

  30. luisz
    • 3 years ago
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    I have a feeling that her flaw was in choice 1

  31. KingGeorge
    • 3 years ago
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    Right again. Now it's up to 1 or 2. Let's look at 1. Did Gina construct D and E, or did she label them?

  32. luisz
    • 3 years ago
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    Points D and E must be constructed, not simply labeled, as midpoints.

  33. luisz
    • 3 years ago
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    hmm

  34. luisz
    • 3 years ago
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    She only labeled them

  35. luisz
    • 3 years ago
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    she did not construct them

  36. KingGeorge
    • 3 years ago
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    Right. So the flaw is that she labeled them

  37. luisz
    • 3 years ago
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    k

  38. luisz
    • 3 years ago
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    by browser logged off automatically without my permission :(

  39. luisz
    • 3 years ago
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    i lost my answers

  40. luisz
    • 3 years ago
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    hold on

  41. luisz
    • 3 years ago
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    wait!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  42. luisz
    • 3 years ago
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    ;D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  43. luisz
    • 3 years ago
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    :D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  44. luisz
    • 3 years ago
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    I didn't lose them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  45. luisz
    • 3 years ago
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    k!!!!!!!!!!!!!!!!

  46. luisz
    • 3 years ago
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    two more nasty suckers coming up

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