document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064516>Question 1064516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I prove that Triangle ABC is congruent to Traingle CDA if AB is congruent to CD and AB is parallel to CD? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679594 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=679594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you have a picture that looks more or less like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28350%2C300%2C-1.5%2C5.5%2C-0.5%2C5.5%2C%0D%0Atriangle%280%2C0%2C5%2C0%2C4%2C5%29%2Ctriangle%280%2C0%2C4%2C5%2C-1%2C5%29%2C%0D%0Alocate%28-0.1%2C0%2CA%29%2Clocate%284.95%2C0%2CB%29%2C%0D%0Alocate%283.9%2C5.3%2CC%29%2Clocate%28-1.1%2C5.3%2CD%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Because AB, and CD are parallel,<BR>\n" );
document.write( "and intersected by transversal AC,<BR>\n" );
document.write( "alternate interior angles CAB and ACD are congruent.<BR>\n" );
document.write( "Since AB is congruent to CD,<BR>\n" );
document.write( "and AC is congruent to itself,<BR>\n" );
document.write( "triangles ABC and CDA are congruent<BR>\n" );
document.write( "by SAS (side-angle-side).<BR>\n" );
document.write( " <BR>\n" );
document.write( "If your figure looked like this,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C300%2C-0.5%2C9.5%2C-0.5%2C5.5%2C%0D%0Atriangle%280%2C0%2C5%2C0%2C4%2C5%29%2Ctriangle%280%2C0%2C4%2C5%2C9%2C5%29%2C%0D%0Alocate%280%2C0%2CA%29%2Clocate%285%2C0%2CB%29%2C%0D%0Alocate%284%2C5.3%2CC%29%2Clocate%289%2C5.3%2CD%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > with AB parallel to CD,<BR>\n" );
document.write( "and congruent with CD,<BR>\n" );
document.write( "ABC would not be congruent with CDA,<BR>\n" );
document.write( "but it would be congruent with DCB instead. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );