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! \n" );
document.write( "
Algebra.Com's Answer #627565 by KMST(5328)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "The midpoint of that diagonal is \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 \n" ); document.write( "The length of the horizontal half-diagonals is \n" ); document.write( " \n" ); document.write( "The length of the vertical half-diagonals must be the same, \n" ); document.write( "so the two ends are \n" ); document.write( "meaning at (1,2-2)=(1,0) and (1,2+2)=(1,4) . \n" ); document.write( " |