Example: Consider these two equilateral triangles that satisfy the AAA combination. Since the SSA or ASS method allows for the possibility of creating triangles of various shapes or even no triangles at all , this method is not an universal method for proving triangles congruent. All corresponding sides and angles will be congruent. Since this situation is open to two interpretations, it is referred to as the Ambiguous Case. Since no triangles are possible, no congruent triangles are possible. This method will NOT always prove triangles congruent! There are certain ordered combinations of these facts that are sufficient to prove triangles congruent. The "non-included" side in AAS can be either of the two sides that are not directly between the two angles being used.
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