Question

prove that triangle ABC congruent triangle DEF

Answer 1

AB=DE
ANGLE A=ANGLE B
ANGLE C=ANGLE F
BY ASA CONGRUENCY

Answer 2

in triangle ABC and DEF,
AB=DE(side)
angle ACB=angle DFE(angle)
angle BAC=angle EDF(angle)
Therefore by AAS congruency criterion triangle ABC is congruent to triangle DEF

hope this helps you!!