document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855809>Question 855809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> quadrilateral ABCD has vertices A(-5,6),B(6,6),c(8,-3),and D(-3,-3). prove:Quadrilateral ABCD is a parallelogram but is neither a rhombus nor a rectangle<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 #515582 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Points A and B have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6 ALIGN=MIDDLE  ALT=\"y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so segment AB is part of the horizontal line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6 ALIGN=MIDDLE  ALT=\"y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "According to their x-coordinates, B is to the right of A (because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%3E-5 ALIGN=MIDDLE  ALT=\"6%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ).<BR>\n" );
document.write( "The length of AB is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-%28-5%29=6%2B5=11 ALIGN=MIDDLE  ALT=\"6-%28-5%29=6%2B5=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Points C and D have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so segment CD is part of the horizontal line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3 ALIGN=MIDDLE  ALT=\"y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "with C to the right of D (because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%3E-3 ALIGN=MIDDLE  ALT=\"8%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ).<BR>\n" );
document.write( "The length of CD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-%28-3%29=8%2B3=11 ALIGN=MIDDLE  ALT=\"8-%28-3%29=8%2B3=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since opposite sides are congruent and parallel, ABCD is a parallelogram.<BR>\n" );
document.write( "Since the x-coordinates of B and C are not the same,<BR>\n" );
document.write( "BC is not part of a vertical line, and therefore is not perpendicular to AB or CD.<BR>\n" );
document.write( "Since not all the angles are right angles, ABCD is not a rectangle.<BR>\n" );
document.write( "The length of BC is calculated from the coordinates of B and C as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%288-6%29%5E2%2B%28-3-6%29%5E2%29=sqrt%282%5E2%2B%28-9%29%5E2%29=sqrt%284%2B81%29=sqrt%2885%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since the length of BC is not the same as the lengths of AB and CD, it is not a rhombus. </SPAN>\n" );
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