document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562942>Question 562942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I proof a parallelogram? I am very confused in proofs. Is there a list I can see on the vocabularies to proof? The question is,  Given (square)ABCD<BR>\n" );
document.write( "prove: AC and BD bisect each other at E.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364736 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In the square ABCD\r<BR>\n" );
document.write( "\n" );
document.write( "AC & BD are the diagonals\r<BR>\n" );
document.write( "\n" );
document.write( "They intersect at E\r<BR>\n" );
document.write( "\n" );
document.write( "Consider triangles ADE & BEC\r<BR>\n" );
document.write( "\n" );
document.write( "Angle ADE is congruent to angle angle EBC  ( they are alternate angles. Side AD & side BC are parallel and the transversal is BD )\r<BR>\n" );
document.write( "\n" );
document.write( "Angle ABE is congruent to angle CDE ( they are alternate angles. Side AB & side CD are parallel and the transversal is BD )\r<BR>\n" );
document.write( "\n" );
document.write( "Side AD is conguent  to side BC  ( sides of a square)\r<BR>\n" );
document.write( "\n" );
document.write( "so the trainagle are congruent ( by Side , Angle,Angle test)\r<BR>\n" );
document.write( "\n" );
document.write( "therefore AE = EC & BE = ED<BR>\n" );
document.write( "Hence they bisect each other\r<BR>\n" );
document.write( "\n" );
document.write( "m.ananth@hotmail.ca\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );