A construction project requires a surveyor to lay out a structure in
the shape of quadrilateral QUAD represented by the vertices
Q(9, 2), U(5, 10), A(15, 10), and D(x, y) on a coordinate grid. Determine the coordinates of point D so that the structure is a trapezoid where UA is perpendicular to AD.

A
(5, 2)

B
(15, 0)

C
(15, 2)

D
(13, 14)