To determine the values of \( x \) and \( y \) for which quadrilateral ABCD is a parallelogram, we would typically use the properties of parallelograms. Specifically, in a parallelogram, opposite sides are equal in length, and the diagonals bisect each other.
However, since the problem doesn't provide a diagram or specific coordinates, it isn't possible to derive a solution without additional context.
If you're able to provide any coordinates, relationships, or a diagram of points A, B, C, and D in the coordinate plane, we could evaluate the options you give and determine which pair \( (x, y) \) results in a parallelogram.
Please provide more information or confirm the relationships between the points.
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