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?

  • 2 years ago
  • 2 years 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

    • 2 years 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

    • 2 years 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

    • 2 years ago
  4. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    I just did.

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

    Does this work?

    • 2 years ago
    1 Attachment
  7. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    look at \(\triangle ABH\)

    • 2 years 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.

    • 2 years ago
  9. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    ok

    • 2 years ago
  11. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    Alright, continue.

    • 2 years ago
  13. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    EB

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

    ?

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

    No EG?

    • 2 years ago
  17. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347462588707:dw|

    • 2 years ago
  18. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347462742317:dw|

    • 2 years ago
  19. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    thats right, EG is the midsegment

    • 2 years ago
  20. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so EG || HC

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

    Yay

    • 2 years ago
  22. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    2?

    • 2 years ago
  24. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    Perfect !

    • 2 years ago
  25. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    lets continue our logic from this point

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

    There's only two that start with two.

    • 2 years ago
  27. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    only one of them is true

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

    And they both have four next

    • 2 years ago
  29. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

    • 2 years ago
  30. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347463059283:dw|

    • 2 years ago
  31. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

    • 2 years ago
  32. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    what could be the next ?

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

    1?

    • 2 years ago
  34. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347463185726:dw|

    • 2 years ago
  35. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    thats one set of parallel sides

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

    Oh so 3?

    • 2 years ago
  37. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1347463228999:dw|

    • 2 years ago
  38. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    thats another set of parallel sides

    • 2 years ago
  39. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    doesnt it make that piece a parallelogram ?

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

    Yes

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

    So I was right, it's 1?

    • 2 years ago
  42. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    yes ofcourse you're right :)

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

    Thanks

    • 2 years ago
  44. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    np.. yw ! (:

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

    D

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

    See you later. Thanks again!

    • 2 years ago
  47. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

    • 2 years ago
  48. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    BOTH

    • 2 years ago
  50. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    hmm

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

    LOL

    • 2 years ago
  52. ganeshie8 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

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

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

    YEP thanks

    • 2 years 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.