In quadrilateral ABCD seeing line A.B. is parallel to line cd which iadditional piece of information is needed to determine the ABDC is a parallelogram

Answer:
A.
Step-by-step explanation:
In a parallelogram, if one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.
Here you already know that sides AB and CD are parallel.
If sides AB and CD are also congruent, then quadrilateral ABCD is a parallelogram.
Answer: A.