document.write( "Question 477553: I have a parrallelogram with the coordinates E (-1,2) F(2,4) G(7,-1) and H (4,-3) \r
\n" ); document.write( "\n" ); document.write( "We need to find the coordinates of the bisecting diagonals which they are calling point P.\r
\n" ); document.write( "\n" ); document.write( "We drew out the parallelogram on a grid but we are unsure how to calculate the middle point of the bisecting diagonals. Any help would be greatly appreciated. Thank you for your time.\r
\n" ); document.write( "\n" ); document.write( "Debbie \n" ); document.write( "
Algebra.Com's Answer #327294 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "You just need the midpoint formula, which just tells us\r\n" );
document.write( "to average the two x-coordinates and average the two y-coordinates.\r\n" );
document.write( "\r\n" );
document.write( "In other words, the midpoint between the two points \r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%281%2C3%2C%0D%0A%0D%0Ax%5B1%5D%2C%22%2C%22%2Cy%5B1%5D%29%29\" and \"%28matrix%281%2C3%2C%0D%0A%0D%0Ax%5B2%5D%2C%22%2C%22%2Cy%5B2%5D%29%29\" \r\n" );
document.write( "\r\n" );
document.write( "is given by \r\n" );
document.write( "\r\n" );
document.write( "So to find the midpoint of diagonal EG, it is the midpoint between\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%281%2C3%2C-1%2C%22%2C%22%2C2%29%29\" and \"%28matrix%281%2C3%2C7%2C%22%2C%22%2C-1%29%29\" and is given by\r\n" );
document.write( "\r\n" );
document.write( "\"%28matrix%281%2C3%2C%28-1%2B7%29%2F2%2C%22%2C%22%2C+%282%2B%28-1%29%29%2F2%29%29\" = \"%28matrix%281%2C3%2C6%2F2%2C%22%2C%22%2C+1%2F2%29%29\" = \"%28matrix%281%2C3%2C3%2C%22%2C%22%2C1%2F2%29%29\".\r\n" );
document.write( "\r\n" );
document.write( "As a check, also find the midpoint of diagonal FH, which is the midpoint\r\n" );
document.write( "between \"%28matrix%281%2C3%2C2%2C%22%2C%22%2C4%29%29\" and \"%28matrix%281%2C3%2C4%2C%22%2C%22%2C-3%29%29\" and is given by \"%28matrix%281%2C3%2C%282%2B4%29%2F2%2C%22%2C%22%2C+%284%2B%28-3%29%29%2F2%29%29\" = \"%28matrix%281%2C3%2C6%2F2%2C%22%2C%22%2C+1%2F2%29%29\" = \"%28matrix%281%2C3%2C3%2C%22%2C%22%2C1%2F2%29%29\".\r\n" );
document.write( "\r\n" );
document.write( "They turn out to be the same point, so \"%28matrix%281%2C3%2C3%2C%22%2C%22%2C1%2F2%29%29\" is the correct midpoint.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );