\r\n" );
document.write( "Plot the three given points. The black line connects two vertices,\r\n" );
document.write( "so it is the left side of the parallelogram. Since the diagonals\r\n" );
document.write( "intersect at (1,1), and since the diagonals of a parallelogram\r\n" );
document.write( "bisect each other, the two green lines are half diagonals.\r\n" );
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document.write( "
\r\n" );
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document.write( "Next we draw a (red) horizontal line from the lower left vertex (-3,-1) to\r\n" );
document.write( "the right until it is directly underneath (1,1) and then draw a\r\n" );
document.write( "vertical line from there directly up to the point (1,1):\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "That required us to go 4 units right and 2 units up. So to get\r\n" );
document.write( "the rest of the diagonal, we will start at (1,1), and do the\r\n" );
document.write( "same, that is we go right 4 units and up 2 units from (1,1):\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Now we can draw in the rest of that diagonal:\r\n" );
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document.write( "
\r\n" );
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document.write( "So we see that the upper right vertex of the parallelogram is\r\n" );
document.write( "the point (5,3):\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Now we will draw the top side of the parallelogram from (-6,4) to (5,3).\r\n" );
document.write( "In black like the left side:\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So the figure won't be cluttered we'll erase the red lines:\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Next we will use the same method to complete the other diagonal.\r\n" );
document.write( "We will draw a (red) horizontal line from the upper left vertex (-6,4) to\r\n" );
document.write( "the right until it is directly above (1,1) and then draw a\r\n" );
document.write( "vertical line from there directly down to the point (1,1):\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "That required us to go 7 units right and 3 units down. So to get\r\n" );
document.write( "the rest of that diagonal, we will start at (1,1), and do the\r\n" );
document.write( "same, that is we go right 7 units and down 3 units from (1,1):\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Now we can draw in the rest of that diagonal:\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So we see that the lower right vertex of the parallelogram is\r\n" );
document.write( "the point (8,-2):\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Again, so the figure won't be cluttered we'll erase the red lines:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Now we'll draw in the other two sides of the parallelogram:\r\n" );
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document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "And we're done. The other two vertices are (5,3) and (8,-2).\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
