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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
I think it's C.
Haha, sorry but I completely suck at math. I'm just here to say welcome back to openstudy!
It's okay, and thanks!
@e.mccormick @nincompoop @mathstudent55
I think its BH congruent to CH and BG to CL. I could be wrong because I never did this before....... ;)
Sorry if I misguide you @ilikemath50
That's okay, thanks for trying! :) @kalahkid
@e.mccormick So, what do you think?
AAA all three angles congruent only proves similarity, not congruance. |dw:1434063901941:dw|
Yeah, I know that. The same goes for SSS, ASA, SAS, and AAS right?
You always need to go with all three sides, angle-side-angle, or side-angle-side to prove congruence.
I didn't know that one.
AAS... f I recall, does not always come out congruent.
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
So there is it...
Thank you, but the answer is either B or D? Right?
I'm leaning a little closer to D.
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.
Note it is AAS that is congruent, not SSA.
That was the one I was trying to remember that tricks people... SSA.
Take this triangle with the marked side, side and angle: |dw:1434064547599:dw|
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.
Oh, okay. I'm understanding a bit better now.
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.
Anyhow... one of those answers you liked was retrice not SAS.
SSA not SAS....
Oh, so it's A?
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?
B is SAS D is SSA
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|
Do you see it now? I just sketched the parts involved in the answer....
Ohh, I think I'm getting it.
Ugh, I have to go leave my house now. But I think I know the answer, D right?
Yah. I hope that the drawings help with remembering why it is D.
Thank you sooooo much!