Question

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

Answer 1

`(-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)`