Which postulate or theorem, if any, could be used to prove the triangles congruent? if not enough information is given, write not enough information

The ways we can prove the triangles congruent:

SAS (side, angle, side)
ASA (angle, side, angle)
AAS (angle, angle, side) 
SSS (all sides equal)
RHS/HL (Right Angle-Hypotenuse-Side/Hypotenuse-legs)

In these cases:
A. <B = <E
<A = <D
AC=DF

AAS (angle, angle, side) could be used.

B. AB=ED
BC=EF
AC=DF

SSS (all sides equal) could be used.

C.<BEA=<CED (right opposite angles)

As there is only one pair of equal angles we can find,there is not enough information.

D.<B = <E
BC=CE
<ECD < ACE(right opposite angles)

ASA (angle, side, angle) could be used.

Hope it helps!