Given K is the midpoint of line segment CR, line segment MA bisects angle CMR. conclusion?

From the given image, on which you have that MA bisect angle CMR, you can conclude:
- Inside the parallelogram ACMR you have four congruent triangles.
- Angles MKR and CKA are congruent, that is, these angles have the same measure.
- Angles CKM and AKR are congruent.