Answer:
Option C.
Step-by-step explanation:
It is given that,
[tex]\overline{AB}\cong \overline {DE}[/tex]
[tex]\overline{AC}\cong \overline {DF}[/tex]
According to SAS congruence property, two triangles are congruent if they have two congruent corresponding sides and their included angles are congruent.
Angle between [tex]\overline{AB}\text{ and }\overline {AC}[/tex] is [tex]\angle A[/tex].
Angle between [tex]\overline{DE}\text{ and }\overline {DF}[/tex] is [tex]\angle D[/tex].
So, [tex]\Delta ABC\cong \Delta DE F[/tex] by SAS, if
[tex]\angle A\cong \angle D[/tex]
Therefore, the correct option is C.