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

answer given: "not possible" (do we know if this is correct? )
diagram: is shown under the same question if you put into search.

when i look at the question and the diagram (correct me where i am wrong : ) the bisector splits abc and i see that it is center or between ab. let me know if i am seeing something off and do we have the correct answer confirmed? so much!