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

answer

( -2,4 )

1. 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

( 5 - 7 , 4 ) = ( -2,4 )

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