What statement is used to prove quadrilateral ABCD is a parallelogram

Answer:
I believe D is the answer. (Triangles BPA and DPC are congruent.)
Angles BAD and ADC are not congruent.
Sides CD and DA are also not congruent
The correct answer is the second choice:
<BCD + <CDA = 180
This fact implies BC and AD are parallel which is the essential property of a parallelogram.