Answer:
D(0, 2)
Explanation:
You want the coordinates of point D if parallelogram ABCD has the coordinates A(-3,2), B(0,4), C(3,4).
Parallelogram
The diagonals of a parallelogram bisect each other, so their midpoints are the same point:
(A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . . multiply by 2
A +C -B = D . . . . . . . . subtract B
Using this relation, we can find the coordinates of point D:
D = (-3, 2) +(3, 4) -(0, 4)
D = (-3+3-0, 2+4-4) = (0, 2)
The coordinates of point D are (0, 2).