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Mathematics 8 Online
OpenStudy (anonymous):

please help me this (picture) https://sphotos-b.xx.fbcdn.net/hphotos-prn2/971369_630544133632192_882817949_n.jpg please give me the best answer.

OpenStudy (theeric):

Hi! Do you have any guesses?

OpenStudy (anonymous):

two sides and included angle are congruent..so SAS

OpenStudy (theeric):

|dw:1374648386693:dw|

OpenStudy (anonymous):

also ASA...since two angles aand included side are congruent

OpenStudy (theeric):

I agree with Krishnadas, and I hope you can see why. They are the only options in which the given information can be used to prove congruency. Angle-side-angle and side-angle-side.... http://www.mathsisfun.com/geometry/triangles-congruent-finding.html

OpenStudy (theeric):

That link might help in the future :)

OpenStudy (theeric):

You can also use AAS

OpenStudy (anonymous):

so it's only SAS and ASA? @Krishnadas @theEric

OpenStudy (anonymous):

yup

OpenStudy (theeric):

Yup, I think.

OpenStudy (theeric):

Wiat..

OpenStudy (theeric):

Wait*...

OpenStudy (anonymous):

eric there are other ways to prove other than ours..LL theorem for right angles etc

OpenStudy (theeric):

Does LL apply? If it's what I think it is...

OpenStudy (anonymous):

yes..right angles

OpenStudy (theeric):

LL is an option. So thihaaung would need that...

OpenStudy (anonymous):

are the hypotenuses congruent?

OpenStudy (anonymous):

LL is one answer..sure

OpenStudy (theeric):

They would have to be. It's like SAS.. Why is LL so special? Heheh...

OpenStudy (anonymous):

LL,sss,SAS and ASA are sure then...lol

OpenStudy (theeric):

Is LA something like leg-angle that applies to right triangles too? Making it pretty much ASA?

OpenStudy (anonymous):

yup

OpenStudy (theeric):

Well, the hypotenuse is not give, so SSS is out.

OpenStudy (theeric):

given*

OpenStudy (anonymous):

LA is equivalent to ASA

OpenStudy (theeric):

Alright, thanks! :)

OpenStudy (anonymous):

HA is also ruled out

OpenStudy (anonymous):

*HL

OpenStudy (theeric):

Now you answered my question - you deserve two medals! And you're right, HL is out.

OpenStudy (anonymous):

please don't confuse me. please give me the right answers. hehe thank you ;)

OpenStudy (theeric):

Haha, they're here!

OpenStudy (anonymous):

but @theEric LL equivalent to SAS

OpenStudy (theeric):

Very true, I agree, @Krishnadas .

OpenStudy (theeric):

:)

OpenStudy (anonymous):

so what are left?

OpenStudy (anonymous):

just SAS, ASA, LL? what else?

OpenStudy (anonymous):

LL=SAS

OpenStudy (theeric):

Yep, all those. LA, HL, and SSS are the only other possibilities. Any of those?

OpenStudy (theeric):

@thihaaung

OpenStudy (anonymous):

@thihaaung me and @theEric will jus discuss abt it...and we will give you the final answer...okay?dont get confuced

OpenStudy (theeric):

Ah, if I were to give just the answer, which I only do after discussion, I would say SAS, LL, LA, and ASA. You can use any one alone with only given information to prove that the triangles are congruent.

OpenStudy (anonymous):

SAS,LL,LA,ASA

OpenStudy (theeric):

There is not enough information to use HL or SSS, so they can not be applied.

OpenStudy (theeric):

That is your answer, @thihaaung .

OpenStudy (anonymous):

i thought so..but can we deduce from the pic that hypotenuses are congruent??

OpenStudy (anonymous):

thanks y'all. those are right.

OpenStudy (theeric):

We can deduce that, but that information is not given. The question was specific about using only given information.

OpenStudy (anonymous):

ok @thihaaung ..:D

OpenStudy (anonymous):

oh oh..Never saw that..@theEric

OpenStudy (theeric):

Once we prove congruency, we can state that the hypotenuses are the same. Haha, got ya! Take care everyone!

OpenStudy (anonymous):

:D

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