Copy of 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.)
Does SSA guarantee congruence for all triangles? Explain clearly why or why not, and be specific.