document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697261>Question 697261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show that the diagonals of a rectangle bisect each other </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429865 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=429865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "Let the diagonals intersect at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=O ALIGN=MIDDLE  ALT=\"O\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+CD ALIGN=MIDDLE  ALT=\"AB+=+CD\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides of rectangles are congruent\r<BR>\n" );
document.write( "\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABO ALIGN=MIDDLE  ALT=\"ABO\"   DISABLED_style= \"max-width:90%; height:auto;\" >= < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CDO ALIGN=MIDDLE  ALT=\"CDO\"   DISABLED_style= \"max-width:90%; height:auto;\" > alternate angles <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+%7C%7C+BC ALIGN=MIDDLE  ALT=\"AB+%7C%7C+BC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BAO ALIGN=MIDDLE  ALT=\"BAO\"   DISABLED_style= \"max-width:90%; height:auto;\" > = < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DCO ALIGN=MIDDLE  ALT=\"DCO\"   DISABLED_style= \"max-width:90%; height:auto;\" > alternate angles <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+%7C%7C+BC ALIGN=MIDDLE  ALT=\"AB+%7C%7C+BC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so triangles <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AOB ALIGN=MIDDLE  ALT=\"AOB\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=COD ALIGN=MIDDLE  ALT=\"COD\"   DISABLED_style= \"max-width:90%; height:auto;\" > are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=congruent ALIGN=MIDDLE  ALT=\"congruent\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AO+=+OC ALIGN=MIDDLE  ALT=\"AO+=+OC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC+=+AO+%2B+OC=+2AO ALIGN=MIDDLE  ALT=\"AC+=+AO+%2B+OC=+2AO\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AO+=+%281%2F2%29+AC ALIGN=MIDDLE  ALT=\"AO+=+%281%2F2%29+AC\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "similarly you can prove that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BO+=+DO ALIGN=MIDDLE  ALT=\"BO+=+DO\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "the diagonals bisect each other in a rectangle,rhombus, parallelogram, and a square (which is a type of rhombus).\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );