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Is "SSA" Legit? What Do You Think?

So far, we've learned a few theorems that help us prove two triangles congruent.  Recall these theorems are: The SSS Theorem The SAS Theorem The ASA Theorem Yet, what about "SSA"? Follow along below to develop a complete argument.

SSA: If we have 2 sides and a "non-included" angle of one triangle congruent to 2 sides and a "non-included" angle of another triangle, can we conclude that the two triangles are congruent? Explain precisely why or why not.