Given:
MC bisects both ∠ACB and side AB.
Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove the triangles are congruent, choose "not possible".
SSS
SAS
ASA
not possible
asa
Not possible
The correct answer is "not possible".
Since MC bisects both ∠ACB and side AB, it divides ∠ACB and side AB into two congruent parts. However, this information alone is not sufficient to prove the two triangles congruent using any of the standard congruence theorems (SSS, SAS, ASA).