Is there enough information to prove that the triangles are congruent? If yes provide the correct triangle congruence postulate or theorem and a congruent statement

if no justify your answer

Step-by-step explanation:

From the figure attached,

In the given right triangles ΔADB and ΔCDB,

              Statements                  Reasons

1). ∠BAD ≅ ∠BCD          1). Given

2). BD ≅ BD                   2). Reflexive property

3). ΔADB ≅ ΔCDB         3). By LA theorem of congruence of right triangles

Therefore, there is sufficient information to prove the ΔADB and ΔCDB congruent.

Leg-angle theorem (L-A) will be used to prove the right triangles congruent.

its the fourth option