Final answer:
To find the missing vertex of a rectangle, use the fact that opposite vertices have the same x or y coordinates. In this case, the coordinates of the missing vertex are (-5, 4).
Step-by-step explanation:
To find the missing vertex of rectangle ABCD, we can use the fact that opposite vertices of a rectangle have the same x or y coordinates.
In this case, we have point A(-5, 4) with coordinates (-5, 4), point B(2, 4) with coordinates (2, 4), and point C(2, 0) with coordinates (2, 0).
Since A and B have the same y coordinate, the missing vertex D will also have a y coordinate of 4. Using the x coordinates of A and C, we can determine that the x coordinate of D is -5.
Therefore, the coordinates of the missing vertex D are (-5, 4).