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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, -5)
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B
D(-5, -3)
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C
D(-2, 4)
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D
D(-3, -4)
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Solution

## 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)

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