determine if the triangles are congruent byASA,SSS,SAS,AAS,HL or not congruent and given AC= BD; AD=BC

Explanation:
We have that two of the sides of triangle ABC are congruent to two of the sides of triangle BAD. We can also see that the third side is also congruent, because segment AB is shared for both triangles. Therefore: AB = BC.
Answer:
ΔABC ≅ ΔBAD
Reason: SSS