Based on the given information, can you conclude that ∆𝑄𝑅𝑆 ≅ ∆𝑇𝑈𝑉 ? Explain.
Given: ̅𝑸𝑹̅̅̅ ≅ 𝑻𝑼̅̅̅̅, ̅𝑸𝑺̅̅̅ ≅ 𝑻𝑽̅̅̅̅

Question

Based on the given information, can you conclude that ∆𝑄𝑅𝑆 ≅ ∆𝑇𝑈𝑉 ? Explain.
Given: ̅𝑸𝑹̅̅̅ ≅ 𝑻𝑼̅̅̅̅, ̅𝑸𝑺̅̅̅ ≅ 𝑻𝑽̅̅̅̅ < R ≅ <U and , prove ∆𝑄𝑅𝑆 ≅ ∆𝑇𝑈. No image was given. Can someone help me with this. I just want to know how to do it you don't need to give me the answer. 
Thanks.

mathstudent55 · Answer

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mathstudent55 · Answer

You can take the given information and draw a figure like I did above.
Now look at the congruent corresponding parts.
They are, in order, a side, a side, and an angle.
That would be SSA.
Is there an SSA theorem or postulate for proving triangles congruent?

ashtarothfick · Answer

I believe that it is a Theorem because it is proven?

ashtarothfick · Answer

@mathstudent55

mathstudent55 · Answer

No. 
There is no SSA for proving triangles congruent.
There is:
AAS
ASA
SAS
SSS
There is no SSA.

ashtarothfick · Answer

Thanks for your help.
Is that all I need to know?
I'm not good in Geometry it's hard for me understand this kind of work.

ashtarothfick · Answer

This looks like it's a side angle side i'm not certain.

mathstudent55 · Answer

Since the information given is only SSA, and there is no SSA for proving congruence of triangles, then the conclusion is that the two triangles cannot be proved to be congruent.