Suppose a rectangle has vertices located at (-2,2), (5, 2), and (5, 4). What are the coordinates of the fourth vertex?

1 Answer
Mar 14, 2018

#(-2,4)#

Explanation:

A rectangle is made of four sides with opposite sides of equal length. Using the y-coordinates of the first two points, the side is #5-(-2)=+7# units long in the x-direction
Using the x-coordinates of the last two points, the side is #4-2=+2# units long in the y-direction.

Subtracting 7 units from the last point, the result is #(5-7, 4)=(-2,4)#