document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746030>Question 746030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the forth vertex.\"\r<BR>\n" );
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document.write( "(-4,8) Top left<BR>\n" );
document.write( "(2,6) top right<BR>\n" );
document.write( "(?, ?) bottom left<BR>\n" );
document.write( "(5,-3) bottom right </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454117 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20077)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.\"\r<BR>\n" );
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document.write( "(-4,8) Top left<BR>\n" );
document.write( "(2,6) top right<BR>\n" );
document.write( "(?, ?) bottom left<BR>\n" );
document.write( "(5,-3) bottom right\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%281120%2F3%2C400%2C-6%2C8%2C-5%2C10%2Cgrid%281%29%2C%0D%0Acircle%28-4%2C8%2C.15%29%2Ccircle%282%2C6%2C.15%29%2Ccircle%285%2C-3%2C.15%29%2C%0D%0Alocate%28-4%2B.3%2C8.3%2C%22%28-4%2C8%29%22%29%2C+locate%282.3%2C6.3%2C%22%282%2C6%29%22%29%2Clocate%285.3%2C-3%2B.3%2C%22%285%2C-3%29%22%29%2C%0D%0Agreen%28line%28-4%2C8%2C2%2C6%29%2Cline%282%2C6%2C5%2C-3%29%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next we draw a horizontal (red) line from (2,6) left until we are directly<BR>\n" );
document.write( "below the point (-4,8):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%281120%2F3%2C400%2C-6%2C8%2C-5%2C10%2Cgrid%281%29%0D%0Acircle%28-4%2C8%2C.15%29%2Ccircle%282%2C6%2C.15%29%2Ccircle%285%2C-3%2C.15%29%2C%0D%0Alocate%28-4%2B.3%2C8.3%2C%22%28-4%2C8%29%22%29%2C+locate%282.3%2C6.3%2C%22%282%2C6%29%22%29%2Clocate%285.3%2C-3%2B.3%2C%22%285%2C-3%29%22%29%2C%0D%0Agreen%28line%28-4%2C8%2C2%2C6%29%2Cline%282%2C6%2C5%2C-3%29%29%2Cred%28line%28-4%2C6%2C2%2C6%29%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next we draw a vertical (red) line up to the point (-4,8):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%281120%2F3%2C400%2C-6%2C8%2C-5%2C10%2Cgrid%281%29%0D%0Acircle%28-4%2C8%2C.15%29%2Ccircle%282%2C6%2C.15%29%2Ccircle%285%2C-3%2C.15%29%2C%0D%0Alocate%28-4%2B.3%2C8.3%2C%22%28-4%2C8%29%22%29%2C+locate%282.3%2C6.3%2C%22%282%2C6%29%22%29%2Clocate%285.3%2C-3%2B.3%2C%22%285%2C-3%29%22%29%2C%0D%0Agreen%28line%28-4%2C8%2C2%2C6%29%2Cline%282%2C6%2C5%2C-3%29%29%2Cred%28line%28-4%2C6%2C2%2C6%29%2Cline%28-4%2C6%2C-4%2C8%29%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now observe, by counting blocks, (1) that the horizontal red line goes<BR>\n" );
document.write( "6 units left of (2,6), and that (2) the vertical line goes 2 units up<BR>\n" );
document.write( "to the point (4,8).\r<BR>\n" );
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document.write( "Next, we do the same thing at the lower right point (5,-3).<BR>\n" );
document.write( "We draw a red horizontal line 6 uints left of (5,-3) and then<BR>\n" );
document.write( "2 unites upward, like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%281120%2F3%2C400%2C-6%2C8%2C-5%2C10%2Cgrid%281%29%0D%0Acircle%28-4%2C8%2C.15%29%2Ccircle%282%2C6%2C.15%29%2Ccircle%285%2C-3%2C.15%29%2C%0D%0Alocate%28-4%2B.3%2C8.3%2C%22%28-4%2C8%29%22%29%2C+locate%282.3%2C6.3%2C%22%282%2C6%29%22%29%2Clocate%285.3%2C-3%2B.3%2C%22%285%2C-3%29%22%29%2C%0D%0Agreen%28line%28-4%2C8%2C2%2C6%29%2Cline%282%2C6%2C5%2C-3%29%29%2Cred%28line%28-4%2C6%2C2%2C6%29%2Cline%28-4%2C6%2C-4%2C8%29%2C%0D%0Aline%285%2C-3%2C-1%2C-3%29%2Cline%28-1%2C-3%2C-1%2C-1%29%29%2C+circle%28-1%2C-1%2C.15%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By counting blocks we see that that red vertical line ended up at (1,1),<BR>\n" );
document.write( "so that's the answer.  Now we can draw in the complete parallelogram:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%281120%2F3%2C400%2C-6%2C8%2C-5%2C10%2Cgrid%281%29%0D%0Acircle%28-4%2C8%2C.15%29%2Ccircle%282%2C6%2C.15%29%2Ccircle%285%2C-3%2C.15%29%2C%0D%0Alocate%28-4%2B.3%2C8.3%2C%22%28-4%2C8%29%22%29%2C+locate%282.3%2C6.3%2C%22%282%2C6%29%22%29%2Clocate%285.3%2C-3%2B.3%2C%22%285%2C-3%29%22%29%2C%0D%0Agreen%28line%28-4%2C8%2C2%2C6%29%2Cline%282%2C6%2C5%2C-3%29%29%2Cred%28line%28-4%2C6%2C2%2C6%29%2Cline%28-4%2C6%2C-4%2C8%29%2C%0D%0Aline%285%2C-3%2C-1%2C-3%29%2Cline%28-1%2C-3%2C-1%2C-1%29%29%2C+circle%28-1%2C-1%2C.15%29%2C%0D%0Agreen%28line%28-1%2C-1%2C-4%2C8%29%2Cline%28-1%2C-1%2C5%2C-3%29%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Edwin</pre> </SPAN>\n" );
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