191k views
3 votes
The coordinates of three vertices of a rectangle are (3,7), (-3,5), and (0,-4). What are the coordinates of the fourth vertex?A. (6,-2)B. (-2,6)C. (6,2)D. (-2,-6)

User LDomagala
by
4.2k points

2 Answers

5 votes

Answer: A. (6,-2)

Step-by-step explanation: I got it right! I hope it helps! <3

User PixelToast
by
3.9k points
4 votes

ANSWER

A. (6, -2)

Step-by-step explanation

Let's graph these three vertices,

The fourth vertex must be at the same distance from (0, -4) as vertex (3, 7) is from (-3, 5),

Note that the horizontal distance between these two points is 6 units and the vertical distance is 2 units. The fourth vertex is,


(0+6,-4+2)=(6,-2)

Hence, the fourth vertex is (6, -2)

The coordinates of three vertices of a rectangle are (3,7), (-3,5), and (0,-4). What-example-1
The coordinates of three vertices of a rectangle are (3,7), (-3,5), and (0,-4). What-example-2
The coordinates of three vertices of a rectangle are (3,7), (-3,5), and (0,-4). What-example-3
User Travc
by
3.0k points