document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417789>Question 417789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to you prove that if a transverse intersects two parallel lines, then the alternate angles 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 #292458 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=292458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> http://www.themathpage.com/abooki/propi-29-30.htm<BR>\n" );
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document.write( "Euclid uses an indirect proof for this Theorem.<BR>\n" );
document.write( "The proof of the Theorem is based on the assumption<BR>\n" );
document.write( "that parallel lines never neet.<BR>\n" );
document.write( "Non-Euclidean geometry does not accept this assumption.<BR>\n" );
document.write( "Non-Euclidean applies to lines on the earth.<BR>\n" );
document.write( "Euclidean applies to lines on a plane.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "See the following site:<BR>\n" );
document.write( "http://www.themathpage.com/abooki/propi-29-30.htm<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );