Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

BIGDOG96 Group Title

Use ∆ABC to answer the question that follows. Given: ∆ABC Prove: The three medians of ∆ABC intersect at a common point. 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?

  • one year ago
  • one year ago

  • This Question is Closed
  1. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Statements Justifications Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC Draw Line segment BE Draw Line segment FC by Construction Point G is the point of intersection between Line segment BE and Line segment FC Intersecting Lines Postulate Draw Line segment AG by Construction Point D is the point of intersection between Line segment AG and Line segment BC Intersecting Lines Postulate Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH by Construction I BGCH is a parallelogram Properties of a Parallelogram (opposite sides are parallel) II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC Midsegment Theorem III Line segment BD ≅ Line segment DC Properties of a Parallelogram (diagonals bisect each other) IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC Substitution Line segment AD is a median Definition of a Median

    • one year ago
    1 Attachment
  2. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    IV, II, III, I II, IV, I, III IV, II, I, III II, IV, III, I

    • one year ago
  3. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    It won't let me post the statements and justification in a two column

    • one year ago
  4. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    try taking a screenshot and post the pix... here you're trying to use parallelogram properties i think

    • one year ago
  5. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I just did.

    • one year ago
  6. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Does this work?

    • one year ago
    1 Attachment
  7. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    look at \(\triangle ABH\)

    • one year ago
  8. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Just heads up I HAVE NO CLUE what I'm doing.

    • one year ago
  9. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    FG is the midsegment , so it is parallel to BH FG || BH

    • one year ago
  10. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

    • one year ago
  11. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    its okay im sure you would get enough clue by the time we finish ;p

    • one year ago
  12. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Alright, continue.

    • one year ago
  13. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    do the same thing for another triangle, look at \(\triangle\) AHC whats the midsegment in that triangle

    • one year ago
  14. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    EB

    • one year ago
  15. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    ?

    • one year ago
  16. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    No EG?

    • one year ago
  17. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347462588707:dw|

    • one year ago
  18. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347462742317:dw|

    • one year ago
  19. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    thats right, EG is the midsegment

    • one year ago
  20. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    so EG || HC

    • one year ago
  21. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yay

    • one year ago
  22. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    good work :) so far. so our first statement must be which one ?

    • one year ago
  23. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    2?

    • one year ago
  24. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Perfect !

    • one year ago
  25. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    lets continue our logic from this point

    • one year ago
  26. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    There's only two that start with two.

    • one year ago
  27. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    only one of them is true

    • one year ago
  28. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    And they both have four next

    • one year ago
  29. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    we have this so far : we got two parallel sides according to midsegment theorem : FG || BH GE || HC

    • one year ago
  30. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347463059283:dw|

    • one year ago
  31. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    since GE || HC, BG also parallel to HC BG || HC so next statement is IV as you said

    • one year ago
  32. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    what could be the next ?

    • one year ago
  33. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    1?

    • one year ago
  34. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347463185726:dw|

    • one year ago
  35. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    thats one set of parallel sides

    • one year ago
  36. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh so 3?

    • one year ago
  37. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1347463228999:dw|

    • one year ago
  38. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    thats another set of parallel sides

    • one year ago
  39. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    doesnt it make that piece a parallelogram ?

    • one year ago
  40. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes

    • one year ago
  41. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So I was right, it's 1?

    • one year ago
  42. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes ofcourse you're right :)

    • one year ago
  43. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks

    • one year ago
  44. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    np.. yw ! (:

    • one year ago
  45. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    D

    • one year ago
  46. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    See you later. Thanks again!

    • one year ago
  47. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    is that a smiley D or you're saying the correct sequence is D lol

    • one year ago
  48. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    the correct sequence of statements is this : II, IV, I, III

    • one year ago
  49. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    BOTH

    • one year ago
  50. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    hmm

    • one year ago
  51. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    LOL

    • one year ago
  52. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    good luck wid ur geometry proofs looks like you're at end of course. wish u best grades :) cya

    • one year ago
  53. BIGDOG96 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    YEP thanks

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.