document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144417>Question 144417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: A(1,6), B(7,9), C(13,6), D(3,1).<BR>\n" );
document.write( "Prove: ABCD is a trapazoid </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105306 by </B><A HREF=/tutors/aboutme.mpl?userid=shahid><B>shahid(44)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=shahid><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A trapezoid is a four sided geometrical figure having a pair of parallel and non-parallel sides.so in order to prove that givenfour points A(1,6),B(7,9),C(13,6)and D(3,1) form a trapezoid we have to prove that it has a pair of parallel sides and non-parallel sides.<BR>\n" );
document.write( "now slope of AB  m1=(y2-y1)/(x2-x1)<BR>\n" );
document.write( "                 m1=9-6/7-1<BR>\n" );
document.write( "                 m1=3/6<BR>\n" );
document.write( "                 m1=1/2<BR>\n" );
document.write( "similarly slope of CD m2=(1-6)/(3-13)<BR>\n" );
document.write( "                      m2=-5/-10<BR>\n" );
document.write( "                      m2=1/2<BR>\n" );
document.write( "since m1=m2 so AB and CD are parallel sides similarly you can prove that sides AD and BC are non-parallel i-e their slopes are not equal.hope this will be helpfull </SPAN>\n" );
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