Final answer:
To prove that the quadrilateral is a parallelogram, the diagonals must bisect each other.
Step-by-step explanation:
To prove that the quadrilateral is a parallelogram, you need to know that the diagonals bisect each other. This means that the point where the diagonals intersect is the midpoint of both diagonals. In other words, the segments formed by the intersection of the diagonals are equal in length. So, the answer is b. they must bisect each other.