SOLUTION: In a coordinate system Tom drew a square. One of its diagonals lies on the x-axis. The coordinates of the two vertices on the x-axis are (−1, 0) and (5, 0). Which of the foll

Algebra ->  Length-and-distance -> SOLUTION: In a coordinate system Tom drew a square. One of its diagonals lies on the x-axis. The coordinates of the two vertices on the x-axis are (−1, 0) and (5, 0). Which of the foll      Log On


   

Question 1070138: In a coordinate system Tom drew a square. One of its diagonals lies on the x-axis. The coordinates of the two vertices on the x-axis are (−1, 0) and (5, 0). Which of the following are the
coordinates of another vertex of this square?
(A) (2, 0) (B) (2, 3) (C) (2, −6) (D) (3, 5) (E) (3, −1)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It helps to draw this.
The diagonal is from (-1,0) to (5,0), or 6 units
The midpoint of the diagonal (2,0) is the center of the square.
The diagonals are perpendicular to each other and equal in length, so the other diagonal is on the x=2 line from y=-3 to y=3
The vertices are (2,3) and (2,-3)
The answer is B.