To find the coordinates for vertices B and D, we need to locate the points on the graph that form a rectangle with points A and C.
Looking at the graph, we can see that point B is located to the left of point A and has the same y-coordinate as point A. Therefore, the coordinates for point B are B(3,5).
Similarly, point D is located below point C and has the same x-coordinate as point C. Therefore, the coordinates for point D are D(6,2).
Therefore, the coordinates for vertices B and D are:
B(3,5) and D(6,2).