Final answer:
The coordinates of point D in parallelogram ABCD are found by using the displacement vector AB and adding it to point C, resulting in the coordinates D(1,0).
Step-by-step explanation:
To find the coordinates of point D in parallelogram ABCD given the coordinates of A(3,2), B(4,5), and C(0,-3), we can use the property that in a parallelogram, opposite sides are of equal length and parallel.
Since AB and CD are opposite sides, they will have the same displacement vector.
To find the displacement vector AB, we subtract the coordinates of A from B:
AB = B - A = (4,5) - (3,2) = (1,3).
To find the coordinates of D, we add the displacement vector AB to the coordinates of C:
D = C + AB = (0,-3) + (1,3) = (1,0).
Therefore, D has coordinates (1,0).