A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Not looking for direct answers, just a little help. I understand that QU is parallel to RT. But I am being asked what further information will prove that RST is similar to QSU by the SSS similarity theorem.

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

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1438393572942:dw|

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    pull the triangles apart to get |dw:1438393633317:dw|

  4. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    look at the given proportion which sides are being referenced?

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

    Rs and Qs

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that's half of the proportion |dw:1438394377896:dw|

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the other part is RT/QU |dw:1438394417461:dw|

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so which pair of sides is missing?

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

    US and TS, i believe..

  10. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, so if we know this \[\Large \frac{RS}{QS} = \frac{RT}{QU} = \frac{TS}{US}\] then we can use the SSS similarity theorem to prove the triangles similar

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    notice how the numerators correspond to the smaller triangle the denominators correspond to the larger triangle

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

    oooh, I think I understand now

  13. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm glad it's making sense

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

    I got B, I'm thinking it's correct because of the two sets of sides that were not mentioned was in the option, and those are the sides that I happened to say

  15. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I can't see all of the answer choices

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

  17. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    correct. It's B

  18. 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.