Recall that the opposite sides of a parallelogram are congruent.
E
Practice makes perfect
Let's begin with plotting the given points in the coordinate plane.
Since the opposite sides of the parallelogram are congruent, the distance between (0,5) and (3,5), which is 3, will be the same as the distance between (0,0) and the fourth vertex. Notice that we can find two points that are 3 units from point (0,0), one on the left and one on the right side.
There are two possible points, (-3,0) and (3,0), that can be the fourth vertex. Since only one of these points occurs in the answers, answer E is correct.
