Please help.

[smp6981]

Given: line BM bisects line AC, M is the midpont of line AC.
Prove: triangle ABM is congruent to triangle CBM.

I have a picture of the triangles and it is easy to see that they are indeed congruent. I just am not sure how to prove that in a mathmatical way.

 

[stapel]

Given: line BM bisects line AC, M is the midpont of line AC.
Prove: triangle ABM is congruent to triangle CBM.

I have a picture of the triangles and it is easy to see that they are indeed congruent. I just am not sure how to prove that in a mathmatical way.

How can you "see" that they are congruent? Which parts are you comparing and "knowing" to be congruent? What angles have you labelled with measures? How have you applied the definition of "bisector" and "midpoint"?

Please be complete. Thank you!