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"?  That is, 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?   Interact with the applet below for a minute or two.  (Feel free to move any of the big black points around.)  Then answer the question above (in detail.)