Question

∆ABC and ∆DEF satisfy the AAA correspondence. ∆ABC and ∆DEF_____________. _______is not a criterion for congruency of any two triangles.
∆ABC and ∆DEF :
a) are always congruent.
b) are always noncongruent.
c)may or may not be congruent.

a) SAS
b) SSS
c) ASA
d) AAA is not a criterion for congruency of any two triangles.

Answer 1

Triangles ABC and DEF may or may not be congruent, because the angle-angle-angle (AAA) postulate is not a criterion for congruency of any two triangles. This is because the angle-angle-angle postulate only incorporates the angles of the triangles, and the side lengths are not specified, so congruency may or may not be true for these triangles.

Answer 2

1.) May or may not

2.) AAA