Given:
A parallelogram has vertices A(8,2), B(6,-4), and C(-5,-4).
To find the coordinates of D:
Let us draw the diagram first.
Since the opposite sides are parallel and equal.
Therefore,
A=B+
A=(6,-4)+(2,6)
A=(8,2)
Similarly,
D=C+(2,6)
D=(-5,-4)+(2,6)
D=(-3,2)
Hence, the coordinates of D is (-3,2).