Question

△ ABC and △ DEF satisfy the AAA correspondence. △ ABC and △ DEF _____ ___ is not a criterion for congruency of any two triangles. A. are always noncongruent B. are always congruent C. may or may not be congruent

Answer 1

△ ABC and △ DEF satisfy the AAA correspondence. △ ABC and △ DEF may or may not be congruent, but it is not a criterion for them to always be congruent. So the correct answer is C. may or may not be congruent.

Step-by-step explanation:

The AAA correspondence is a postulate in the study of triangles. According to this postulate, if two triangles have corresponding angles that are congruent, then the triangles themselves are congruent.

Therefore, if △ ABC and △ DEF satisfy the AAA correspondence, it means that they have three corresponding angles that are congruent. In this case, △ ABC and △ DEF may or may not be congruent, but it is not a criterion for them to always be congruent.

So the correct answer is C. may or may not be congruent.