document.write( "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) ]\r
\n" ); document.write( "\n" ); document.write( "This question is from co-ordinate geometry.
\n" ); document.write( "I have got the first part of the answer (1,0) but can't get the other co-ordinate.\r
\n" ); document.write( "\n" ); document.write( "Please help me!
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Algebra.Com's Answer #627565 by KMST(5328)\"\" \"About 
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The diagonals of a square
\n" ); document.write( "bisect each other, and
\n" ); document.write( "are perpendicular to each other.
\n" ); document.write( "The two opposite vertices given are the ends of a horizontal diagonal on line \"y=2\" .
\n" ); document.write( "The midpoint of that diagonal is \"M%28%28-1%2B3%29%2F2%2C2%29\"=\"M%281%2C2%29\" .
\n" ); document.write( "That is also the midpoint of the other diagonal,
\n" ); document.write( "which is perpendicular to the horizontal diagonal,
\n" ); document.write( "meaning that it is on the vertical line \"x=1\" .
\n" ); document.write( "The length of the horizontal half-diagonals is
\n" ); document.write( "\"1-%28-1%29=2\" or \"3-1=2\" .
\n" ); document.write( "The length of the vertical half-diagonals must be the same,
\n" ); document.write( "so the two ends are \"2\" units above and below \"M\" ,
\n" ); document.write( "meaning at (1,2-2)=(1,0) and (1,2+2)=(1,4) .
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