Question

The coordinates of three vertices of a rectangle ABCD are shown in the given coordinate plane. What are the coordinates of the fourth vertex, D?

• A. D(-3, -4)
• B. D(-5, -3)
• C. D(-3, -5)
• D. D(-2, 4)

Answer 1

The correct option is B D(-5, -3)

In a rectangle, opposite sides are parallel.

The point A(-5,4) is in 2nd quandrant

Point B(5,4) is in 1st quadrant.

Point C(5,-3) is in 4th quadrant.

Since point D should be in the third quadrant, y-coordinates of C and D will be -3.

Also, vertices A and D will have same x-coordinate, -5, for the points A, B, C and D to form a rectangle.



Therefore, the coordinates of vertex D are (-5, -3)