Answer
The coordinates of vertex C = (5, -2)
Step-by-step explanation
ABCD is supposed to be a rectangle.
And the coordinates of the remaining vertices of the triangle have been provided.
So, we know that vertex C has to be on the same vertical line (x-coordinate = 5) as vertex B and on the same horizontal line as vertex D (y-coordinate = -2)
So,
The coordinates of vertex C = (5, -2)
Hope this Helps!!!