Question

Use the figure below to answer the question that follows:

Answer 1

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

Answer 2

I think it's C.

Answer 3

Haha, sorry but I completely suck at math. I'm just here to say welcome back to openstudy!

Answer 4

It's okay, and thanks!

Answer 5

@e.mccormick @nincompoop @mathstudent55

Answer 6

I think its BH congruent to CH and BG to CL. I could be wrong because I never did this before....... ;)

Answer 7

Sorry if I misguide you @ilikemath50

Answer 8

That's okay, thanks for trying! :) @kalahkid

Answer 9

@e.mccormick So, what do you think?

Answer 10

AAA all three angles congruent only proves similarity, not congruance.

Answer 11

Yeah, I know that. The same goes for SSS, ASA, SAS, and AAS right?

Answer 12

You always need to go with all three sides, angle-side-angle, or side-angle-side to prove congruence.

Answer 13

Oh, okay

Answer 14

I didn't know that one.

Answer 15

AAS... f I recall, does not always come out congruent.

Answer 16

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

Answer 17

So there is it...

Answer 18

Thank you, but the answer is either B or D? Right?

Answer 19

I'm leaning a little closer to D.

Answer 20

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.

Answer 21

Note it is AAS that is congruent, not SSA.

Answer 22

That was the one I was trying to remember that tricks people... SSA.

Answer 23

Take this triangle with the marked side, side and angle: