document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138612>Question 1138612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove: If the base and a leg of one isosceles triangle are congruent to the base and a leg of another isosceles triangle,<BR>\n" );
document.write( "then their vertex 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 #756410 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "If the base and a leg of one isosceles triangle are congruent to the base and a leg of another isosceles triangle,\r\n" );
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document.write( "then these triangles have three pairs congruent sides.\r\n" );
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document.write( "    Do you understand it ?\r\n" );
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document.write( "It means, due to SSS triangles congruence test, that the triangles are congruent.\r\n" );
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document.write( "Hence, their corresponding angles are congruent.\r\n" );
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document.write( "The vertex angles are corresponding - so, they are congruent.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "The proof is completed.\r<BR>\n" );
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document.write( "-----------------------\r<BR>\n" );
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document.write( "In this site, &nbsp;you have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "The part of this online textbook, most relevant to your problem is the topic &nbsp;\"<U>Properties of triangles</U>\".\r<BR>\n" );
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document.write( "You may learn A LOT from there.\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in GEOMETRY<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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