document.write( "Question 1064274: prove the following using coordinate geometry: The segments joining the midpoints of the sides of a rectangle form a rhombus \n" ); document.write( "
Algebra.Com's Answer #679488 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the rectangle be ABCD with length L and width W,\r\n" );
document.write( "with midpoints of sides E,F,G,H.  We are to show that \r\n" );
document.write( "EFGH is a rhombus.\r\n" );
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document.write( "We may then place the figure on a graph like this with\r\n" );
document.write( "the coordinates as shown:\r\n" );
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document.write( "We us the distance formula to show that all the sides of EFGH have\r\n" );
document.write( "the same length:\r\n" );
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document.write( "Since EF = FG = GH = HE, EFGH is a rhombus.\r\n" );
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document.write( "I didn't bother simplifying the length of the sides of rhombus EFGH,\r\n" );
document.write( "but if you want to, it's\r\n" );
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document.write( "Edwin
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