Question

Parallelogram ABCD has the coordinates shown. A(-3,2) B(0,4) C(3,4) Find the coordinates of point D. A) (0, 1) B) (1, 2) C) (2, 2) D) (0, 2)

Answer 1

Answer: (0, 2)

Step-by-step explanation: The solution is (0, 2). The sketch is shown below.

Answer 2

In a parallelogram opposite sides are equal and parallel;
Therefore, in this case, AB is equal and parallel to CD, thus, the magnitude of AB is equal to the magnitude of CD
The line BC is equal to line AD and the two lines are parallel to y-axis;
Since; AB = B - A = (0,4) - (-3,2)= (2,3)
Assuming the coordinates of D is (x,y) DC= (4-y), (3-x) = (2,3)
Hence; y = 2 and x = 0
Thus; the coordinates of D are (0,2)