Is DEF = DHG congruent? Justify your answer below.

Answer:
Yes, they are congruent
Explanation:
SAS congruence postulate (Side - Angle - Side)
There are marks on both sides on those triangles (lines). These shows that the sides are congruent. SS is formed
The angle in both triangle are congruent on their vertex. Those angles are ∠EDF and ∠GDH. They are ∠EDF = ∠GDH because of vertical angle congruence theorem. A is now formed.
SS (two sides) and A (angle) combined makes SAS congruence postulate.