document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762415>Question 762415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help trying to solve this triangle proof. Given: Triangle DGF is isosceles with base line DF. Also Given: Angle EGD Is congruent with angle EGF. Prove: line EG bisects angle DEF </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463938 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "		<TD ><b>Step</TD>\r\n" );
document.write( "		<TD >Reason</b></TD>\r\n" );
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document.write( "		<TD >Extend GE to intersect DF at H</TD>\r\n" );
document.write( "		<TD >Construction</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \angle EGD\"> &#8773; <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \angle EGF\"></TD>\r\n" );
document.write( "		<TD >Given</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \overline{GD}\"> &#8773; <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \overline{GF}\"></TD>\r\n" );
document.write( "		<TD >Defn Isosceles</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \overline{GE}\"> &#8773; <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \overline{GE}\"></TD>\r\n" );
document.write( "		<TD >Reflexive Equality</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \triangle {GED}\"> &#8773; <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \triangle {GEF}\"></TD>\r\n" );
document.write( "		<TD >SAS</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \angle{GED}\"> &#8773; <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \angle{GEF}\"></TD>\r\n" );
document.write( "		<TD >CPCT</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \angle{GEH}\"> is a straight angle</TD>\r\n" );
document.write( "		<TD >Construction</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE m\angle{GED}\ +\ m\angle{DEH}\ =\ m\angle{GEH}\"> </TD>\r\n" );
document.write( "		<TD >Partition Postulate</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE m\angle{GEF}\ +\ m\angle{FEH}\ =\ m\angle{GEH}\"> </TD>\r\n" );
document.write( "		<TD >Partition Postulate</TD>\r\n" );
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document.write( "		<TD ><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE m\angle{DEH}\ =\ m\angle{FEH}\"></TD>\r\n" );
document.write( "		<TD >Substitution and Addition Postulates</TD>\r\n" );
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document.write( "		<TD >The line containing the segment <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \overline{GE}\"> bisects <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \angle{DEF}\"></TD>\r\n" );
document.write( "		<TD >Definition of Bisector</TD>\r\n" );
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document.write( "Had to take some extra steps maybe because you didn't bother to describe where Point E was placed.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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