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anonymous

  • one year ago

Use the figure below to answer the question that follows:

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    What must be given to prove that ΔBHG ≅ ΔCHI? ∠GBH ≅ ∠ICH and ∠BGH ≅ ∠CIH segment BH is congruent to segment CH and segment BG is congruent to segment CI ∠GBH ≅ ∠ICH and ∠BHG ≅ ∠CHI segment BH is congruent to segment CH and segment HG is congruent to segment HI

  3. anonymous
    • one year ago
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    I think it's C.

  4. anonymous
    • one year ago
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    Haha, sorry but I completely suck at math. I'm just here to say welcome back to openstudy!

  5. anonymous
    • one year ago
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    It's okay, and thanks!

  6. anonymous
    • one year ago
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    @e.mccormick @nincompoop @mathstudent55

  7. anonymous
    • one year ago
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    I think its BH congruent to CH and BG to CL. I could be wrong because I never did this before....... ;)

  8. anonymous
    • one year ago
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    Sorry if I misguide you @ilikemath50

  9. anonymous
    • one year ago
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    That's okay, thanks for trying! :) @kalahkid

  10. anonymous
    • one year ago
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    @e.mccormick So, what do you think?

  11. e.mccormick
    • one year ago
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    AAA all three angles congruent only proves similarity, not congruance. |dw:1434063901941:dw|

  12. anonymous
    • one year ago
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    Yeah, I know that. The same goes for SSS, ASA, SAS, and AAS right?

  13. e.mccormick
    • one year ago
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    You always need to go with all three sides, angle-side-angle, or side-angle-side to prove congruence.

  14. anonymous
    • one year ago
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    Oh, okay

  15. anonymous
    • one year ago
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    I didn't know that one.

  16. e.mccormick
    • one year ago
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    AAS... f I recall, does not always come out congruent.

  17. e.mccormick
    • one year ago
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    There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. http://www.mathsisfun.com/geometry/triangles-congruent-finding.html

  18. e.mccormick
    • one year ago
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    So there is it...

  19. anonymous
    • one year ago
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    Thank you, but the answer is either B or D? Right?

  20. anonymous
    • one year ago
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    I'm leaning a little closer to D.

  21. e.mccormick
    • one year ago
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    Well, they only gibe two sides, so you must use an angle out of the image that must be the same... which means that the rules for angles on crossed lines need to apply.

  22. e.mccormick
    • one year ago
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    Note it is AAS that is congruent, not SSA.

  23. e.mccormick
    • one year ago
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    That was the one I was trying to remember that tricks people... SSA.

  24. e.mccormick
    • one year ago
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    Take this triangle with the marked side, side and angle: |dw:1434064547599:dw|

  25. e.mccormick
    • one year ago
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    Now, let me modify it so those are the same, but the triangle is not: |dw:1434064605461:dw| If done carefully or with a compass, this can show that SSA/retricetriangles do not prove congruance.

  26. anonymous
    • one year ago
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    Oh, okay. I'm understanding a bit better now.

  27. e.mccormick
    • one year ago
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    |dw:1434064707031:dw|

  28. e.mccormick
    • one year ago
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    Because the radius of the sircle determines one side, a circle can prove that retricemakes for two triangles... That was the proof I was trhying to think of.

  29. e.mccormick
    • one year ago
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    Anyhow... one of those answers you liked was retrice not SAS.

  30. e.mccormick
    • one year ago
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    SSA not SAS....

  31. anonymous
    • one year ago
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    Oh, so it's A?

  32. e.mccormick
    • one year ago
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    It will never be angles alone. That was the AAA problem. So you need sides. So it was one of the side ones, as you thought. So which side answer is SAS and which is SSA?

  33. anonymous
    • one year ago
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    B is SAS D is SSA

  34. e.mccormick
    • one year ago
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    segment BH is congruent to segment CH and segment BG is congruent to segment CI |dw:1434065227574:dw| segment BH is congruent to segment CH and segment HG is congruent to segment HI |dw:1434065287345:dw|

  35. e.mccormick
    • one year ago
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    Do you see it now? I just sketched the parts involved in the answer....

  36. anonymous
    • one year ago
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    Ohh, I think I'm getting it.

  37. e.mccormick
    • one year ago
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    |dw:1434065377344:dw| |dw:1434065436305:dw|

  38. anonymous
    • one year ago
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    Ugh, I have to go leave my house now. But I think I know the answer, D right?

  39. e.mccormick
    • one year ago
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    Yah. I hope that the drawings help with remembering why it is D.

  40. anonymous
    • one year ago
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    Thank you sooooo much!

  41. e.mccormick
    • one year ago
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    Have fun!

  42. anonymous
    • one year ago
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    :)

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