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The points A(-3,4), B(3, 2), C(1,-4), and D(-5,-2) form quadrilateral ABCD in the coordinate plane. What condition verifies that the diagonals are perpendicular?

A. The product of the slopes of the diagonals is -1

B. The product of the slopes of the diagonal is 1

C. The diagonals have the same length

D. The diagonals have different lengths