document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62873>Question 62873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you prove if the quadrilateral is a parallelogram then opposite sides of a quadrilateral are congruent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43779 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43779\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you prove if the quadrilateral is a parallelogram then opposite sides of a quadrilateral are congruent?<BR>\n" );
document.write( "LET ABCD BE THE QUADRLATERAL WITH <BR>\n" );
document.write( "AB||CD AND<BR>\n" );
document.write( "BC||AD<BR>\n" );
document.write( "JOIN AC<BR>\n" );
document.write( "IN TRIANGLES ABC AND ADC,<BR>\n" );
document.write( "AC=AC<BR>\n" );
document.write( "ANGLE CAB = ANGLE ACD.... ALTERNATE ANGLES WITH AB||CD AND <BR>\n" );
document.write( "AC BEING THE TRANSVERSAL<BR>\n" );
document.write( "ANGLE ACB = ANGLE CAD ....ALTERNATE ANGLES WITH AD||BC AND<BR>\n" );
document.write( "AC BEING THE TRANSVERSAA<BR>\n" );
document.write( "HENCE THE 2 TRIANGLES ARE CONGRUENT BY AAS THEOREM<BR>\n" );
document.write( "HENCE <BR>\n" );
document.write( "AB = CD...... AND<BR>\n" );
document.write( "BC = AD  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );