document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137036>Question 1137036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove or disprove that the diagonals are congruent using coordinate geometry. \r<BR>\n" );
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document.write( "A(5,7)  B(15,3)  C(13,-2),  D(3,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754873 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=754873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >)  B(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15 ALIGN=MIDDLE  ALT=\"15\"   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;\" >)  C(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   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;\" >),  D(<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+%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+20%2C%0D%0Acircle%285%2C7%2C.12%29%2Clocate%285%2C7%2CA%285%2C7%29%29%2C%0D%0Acircle%2815%2C3%2C.12%29%2Clocate%2815%2C3%2CB%2815%2C3%29%29%2C%0D%0Acircle%2813%2C-2%2C.12%29%2Clocate%2813%2C-2%2CC%2813%2C-2%29%29%2C%0D%0Acircle%283%2C2%2C.12%29%2Clocate%283%2C2%2CD%283%2C2%29%29%2C%0D%0Aline%285%2C7%2C15%2C3%29%2Cline%285%2C7%2C3%2C2%29%2Cline%2813%2C-2%2C15%2C3%29%2Cline%2813%2C-2%2C3%2C2%29%2C%0D%0Aline%285%2C7%2C13%2C-2%29%2Cline%2815%2C3%2C3%2C2%29%2C%0D%0Agraph%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+20%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now use distance formula and prove that the distance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=BD ALIGN=MIDDLE  ALT=\"AC=BD\"   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=AC=sqrt%28%2813-5%29%5E2%2B%28-2-7%29%5E2%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%28%2813-5%29%5E2%2B%28-2-7%29%5E2%29\"   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=AC=sqrt%288%5E2%2B%28-9%29%5E2%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%288%5E2%2B%28-9%29%5E2%29\"   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=AC=sqrt%2864%2B81%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%2864%2B81%29\"   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=AC=sqrt%28145%29 ALIGN=MIDDLE  ALT=\"AC=sqrt%28145%29\"   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=AC=12.0415945787923 ALIGN=MIDDLE  ALT=\"AC=12.0415945787923\"   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=BD=sqrt%28%2815-3%29%5E2%2B%283-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"BD=sqrt%28%2815-3%29%5E2%2B%283-2%29%5E2%29\"   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=BD=sqrt%2812%5E2%2B1%5E2%29 ALIGN=MIDDLE  ALT=\"BD=sqrt%2812%5E2%2B1%5E2%29\"   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=BD=sqrt%28144%2B1%29 ALIGN=MIDDLE  ALT=\"BD=sqrt%28144%2B1%29\"   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=BD=sqrt%28145%29 ALIGN=MIDDLE  ALT=\"BD=sqrt%28145%29\"   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=BD=12.0415945787923 ALIGN=MIDDLE  ALT=\"BD=12.0415945787923\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=>the diagonals are congruent\r<BR>\n" );
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