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.

1. anonymous

2. jim_thompson5910

|dw:1438393572942:dw|

3. jim_thompson5910

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

4. jim_thompson5910

look at the given proportion which sides are being referenced?

5. anonymous

Rs and Qs

6. jim_thompson5910

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

7. jim_thompson5910

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

8. jim_thompson5910

so which pair of sides is missing?

9. anonymous

US and TS, i believe..

10. jim_thompson5910

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

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

12. anonymous

oooh, I think I understand now

13. jim_thompson5910

I'm glad it's making sense

14. anonymous

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

I can't see all of the answer choices

16. anonymous

17. jim_thompson5910

correct. It's B