Which of the following is not a congruence theorem or postulate? A. AAS B. AA C. SAS D. SSS
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The answer is B. AA. While the Angle-Angle (AA) criterion is useful for proving triangle similarity, it does not qualify as a congruence theorem. You can establish triangle congruence using AAS (Angle-Angle-Side), SAS (Side-Angle-Side), and SSS (Side-Side-Side), but AA alone only indicates the triangles are similar, not congruent. If you ever find yourself in a geometry jam, remember that angles alone can't guarantee congruence! It's crucial to look for sides as well when trying to establish triangle congruence. This common mistake trips up many students, so always double-check the criteria you're using to ensure you're not mistaking similarity for congruence!