ABC ABC\,ABC is a triangle. CDEF CDEF\,CDEF is a parallelogram such that D D\,D is the midpoint of ACACAC, E E\,E is the midpoint of ABABAB, and F F\,F is the midpoint of BCBCBC.
Prove that triangle ADE ADE\,ADE is congruent to triangle BEFBEFBEF.