A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line. The length of AD is equal to 6, the length of DB is equal to 2, the length of AE is equal to 7 and the length of EC is equal to 3. She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    6:7 ≠ 2:7 6:8 ≠ 7:10 6:2 ≠ 7:10 6:2 ≠ 3:2

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Anaise

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepupster

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Zpupster

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino

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

    please can you make a drawing of your triangle?

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

    we can say that the assumption is a contradicted if and only if there is no proportionality between corresponding segments, or in other words, if the subsequent condition holds: \[6:2 \ne 7:3\]

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

    now I apply the componendo property, so I get this: \[6:\left( {6 + 2} \right) \ne 7:\left( {7 + 3} \right)\]

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

    so, what is the right option?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    b?

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry i got caught up

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino is b right?

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

    correct!

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you! :)

  16. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.