document.write( "Question 536171: show that the diagonals of a parellelogram with vertices (-1,1), (0,-3), (3,5)and (4,1) bisect each other\r
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\n" ); document.write( "\n" ); document.write( "show that the diagonals of a parellelogram with vertices (1,-3), (-3,-1), (3,5)and (-5,-9) bisect each other \n" ); document.write( "
Algebra.Com's Answer #352173 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "We just need to show that the midpoint of each diagonal is the same point.\r\n" );
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document.write( "We find the midpoint of the diagonal connecting (-1,1) and (4,1)\r\n" );
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document.write( "Midpoint = \r\n" );
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document.write( "Midpoint = \"%28matrix%281%2C3%2C++++++%28-1%2B4%29%2F2%2C+++%22%2C%22%2C+%281%2B1%29%2F2%29%29\" \r\n" );
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document.write( "Midpoint = \"%28matrix%281%2C3%2C++++++3%2F2%2C+++%22%2C%22%2C+2%2F2%29%29\" \r\n" );
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document.write( "Midpoint = \"%28matrix%281%2C3%2C++++++3%2F2%2C+++%22%2C%22%2C+1%29%29\"  \r\n" );
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document.write( "We find the midpoint of the diagonal connecting (0,-3) and (3,5)\r\n" );
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document.write( "Midpoint = \r\n" );
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document.write( "Midpoint = \"%28matrix%281%2C3%2C++++++%280%2B3%29%2F2%2C+++%22%2C%22%2C+%28-3%2B5%29%2F2%29%29\" \r\n" );
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document.write( "Midpoint = \"%28matrix%281%2C3%2C++++++3%2F2%2C+++%22%2C%22%2C+2%2F2%29%29\" \r\n" );
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document.write( "Midpoint = \"%28matrix%281%2C3%2C++++++3%2F2%2C+++%22%2C%22%2C+1%29%29\"\r\n" );
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document.write( "Since the two diagonals have the same midpoint, they bisect each other.\r\n" );
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document.write( "Edwin
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