document.write( "Question 490711: Assignment: \r
\n" ); document.write( "\n" ); document.write( "Proove the points A(6,-13) B(-2,2) C(13,10) and D (21, -5) are the vertices of the square. Show that the diagonals bisect each other and of equal length. Please have a plan of what you're going to do before proceeding into solving the problem.
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\n" ); document.write( "\n" ); document.write( "Hello! How am I going to solve this problem? Am I going to get their distances and midpoints? Please help me. Thank you :)
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Algebra.Com's Answer #334252 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
If the points are really the vertices of a square, then
\n" ); document.write( "AB to AC are perpendicular, or else,
\n" ); document.write( "AB to AD are perpendicular
\n" ); document.write( "also,
\n" ); document.write( "CD to CA are perpendicular, or else
\n" ); document.write( "CD to CB are perpendicular
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\n" ); document.write( "Find the equations for the pairs of points:
\n" ); document.write( "AB
\n" ); document.write( "\"%28y+-+%28-13%29%29+%2F+%28+x+-+6%29+=+%282+-%28-13%29%29+%2F+%28-2+-+6%29+\"
\n" ); document.write( "\"+y+%2B+13+=+15%2A%28x+-+6%29+\"
\n" ); document.write( "\"+y+=+15x+-+103+\"
\n" ); document.write( "AC
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\n" ); document.write( "Once you find the perpendicular lines, you can
\n" ); document.write( "draw an approximate square.
\n" ); document.write( "remember that slopes that are perpendicular
\n" ); document.write( "are related as \"+m%5B1%5D+=+-1%2Fm%5B2%5D+\"
\n" ); document.write( "The points that form diagonals will be obvious.
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