document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388240>Question 388240</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If A (1,-2),B(3,6)And C(5,10) Are The Three Vertices Of Aparallelogram, Find Its 4th Vertex D.Also,Find The Angle Between The Diagonals AC And BD.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274777 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-4%2C12%2C-4%2C12%2C%0D%0Agrid%281%29%2C%0D%0Acircle%281%2C-2%2C0.3%29%2C%0D%0Acircle%283%2C6%2C0.3%29%2C%0D%0Acircle%285%2C10%2C0.3%29%2C%0D%0Aline%281%2C-2%2C3%2C6%29%2C%0D%0Aline%283%2C6%2C5%2C10%29%2C%0D%0Alocate%281.3%2C-2%2CA%29%2C%0D%0Alocate%283.3%2C6%2CB%29%2C%0D%0Alocate%285.3%2C10%2CC%29%2C%0D%0Agraph%28300%2C300%2C-4%2C12%2C-4%2C12%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To go from C to D, you move over 2 and up 4.<BR>\n" );
document.write( "To keep it a parallelogram, move that same distance from A to D.<BR>\n" );
document.write( "D:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)+(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-4%2C12%2C-4%2C12%2C%0D%0Agrid%281%29%2C%0D%0Acircle%281%2C-2%2C0.3%29%2C%0D%0Acircle%283%2C6%2C0.3%29%2C%0D%0Acircle%285%2C10%2C0.3%29%2C%0D%0Acircle%283%2C2%2C0.3%29%2C%0D%0Aline%281%2C-2%2C3%2C6%29%2C%0D%0Aline%283%2C6%2C5%2C10%29%2C%0D%0Ablue%28line%285%2C10%2C3%2C2%29%29%2C%0D%0Ablue%28line%283%2C2%2C1%2C-2%29%29%2C%0D%0Alocate%281.3%2C-2%2CA%29%2C%0D%0Alocate%283.3%2C6%2CB%29%2C%0D%0Alocate%285.3%2C10%2CC%29%2C%0D%0Alocate%283.3%2C2%2CD%29%2C%0D%0Agraph%28300%2C300%2C-4%2C12%2C-4%2C12%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-4%2C12%2C-4%2C12%2C%0D%0Agrid%281%29%2C%0D%0Acircle%281%2C-2%2C0.3%29%2C%0D%0Acircle%285%2C-2%2C0.3%29%2C%0D%0Acircle%285%2C10%2C0.3%29%2C%0D%0Aline%281%2C-2%2C5%2C-2%29%2C%0D%0Aline%281%2C-2%2C5%2C10%29%2C%0D%0Alocate%281.3%2C-2%2CA%29%2C%0D%0Alocate%285.3%2C-2%2CX%29%2C%0D%0Alocate%285.3%2C10%2CC%29%2C%0D%0Ablue%28line%283%2C-100%2C3%2C100%29%29%2C%0D%0Alocate%283.2%2C7%2Ctheta%29%2C%0D%0Agraph%28300%2C300%2C-4%2C12%2C-4%2C12%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the diagram,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28XAC%29=%2810-%28-2%29%29%2F%285-1%29=12%2F4=3 ALIGN=MIDDLE  ALT=\"tan%28XAC%29=%2810-%28-2%29%29%2F%285-1%29=12%2F4=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XAC=63.4 ALIGN=MIDDLE  ALT=\"XAC=63.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees<BR>\n" );
document.write( "Also,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XBD=90 ALIGN=MIDDLE  ALT=\"XBD=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5BB%5D=x%5BD%5D ALIGN=MIDDLE  ALT=\"x%5BB%5D=x%5BD%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the angle between the diagonals, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=90-71.6 ALIGN=MIDDLE  ALT=\"theta=90-71.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28theta=18.4%29 ALIGN=MIDDLE  ALT=\"highlight%28theta=18.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees </SPAN>\n" );
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