These triangles are
congruent by the
triangle congruence
postulate [? ]

Answer:
Option A
Step-by-step explanation:
From the picture attached,
In the given triangles ABC and ADC,
m(∠B) = m(∠D) [Given]
AC ≅ CA [Reflexive property]
But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.
Option A is the answer.