SOLUTION: The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of other two vertices. [ Ans: (1, 0), (1, 4) ] This question is from co-ordinate g

Question 1011804: The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of other two vertices. [ Ans: (1, 0), (1, 4) ]
This question is from co-ordinate geometry.
I have got the first part of the answer (1,0) but can't get the other co-ordinate.
Please help me!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The diagonals of a square
bisect each other, and
are perpendicular to each other.
The two opposite vertices given are the ends of a horizontal diagonal on line .
The midpoint of that diagonal is = .
That is also the midpoint of the other diagonal,
which is perpendicular to the horizontal diagonal,
meaning that it is on the vertical line .
The length of the horizontal half-diagonals is
or .
The length of the vertical half-diagonals must be the same,
so the two ends are units above and below ,
meaning at (1,2-2)=(1,0) and (1,2+2)=(1,4) .
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