Question
The area of a square I 41 square units. Two of its vertices are located at (0,-3) and (4,2).
Select the point that could be a third vertex of this square.
A. (0,7)
B. (-5,1)
C.(5,13)
D.(-2,-2)
E.(4,-6)
Answer (Expert Verified)
The vertices of the square are the coordinates of the endpoints
The third vertex of the square could be (0,7) or (-5,1)
How to determine the third vertex
Two vertices of the square are:
(0,-3) and (4,2)
Calculate the distance between these vertices using:
Square both sides
The above expression represents the area of the square.
So, we have:
Next, we test the options with the given vertices (0,-3) and (4,2)
So, we have:
A. (0,7)
B. (-5,1)
C.(5,13)
D.(-2,-2)
E.(4,-6)
The vertices where at least one of the equations is true could be a third vertex of the square
Hence, a third vertex of the square could be (0,7) or (-5,1)