Drawing conclusions: geometry could a conclusion be that dea, aeb, bec, and ced are all congruent? could it also be that de and be are congruent and ae and ce are congruent?

AE and EC are congruent because it's given that E is the midpoint of AC. However, DE and EB cannot be congruent because it does not state that point E is the midpoint of DB.

You cannot assume that all the triangles DEA, AEB, BEC, and CED are all congruent just from being given that E is the midpoint of AC. You would need to be given other information such as "Quadrilateral ABCD is a parallelogram. "