document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935534>Question 935534</A>: <I><SPAN STYLE=\"word-break: break-all;\">           Statements	                          Reasons<BR>\n" );
document.write( "DGF triangle is isosceles with base DF        	  GIVEN\r<BR>\n" );
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document.write( "EGD angle is congruent to EGF angle               GIVEN\r<BR>\n" );
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document.write( "EG segment is congruent to EG segment           Reflexive Property\r<BR>\n" );
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document.write( "DG is congruent to FG                           GIVEN\r<BR>\n" );
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document.write( "FGE triangle is congruent to triangle EGD       SAS\r<BR>\n" );
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document.write( "DEG angle is congruent to FEG angle		CPCTC\r<BR>\n" );
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document.write( "Segment EG bisects DEF angle                    Angle Bisector Definition<BR>\n" );
document.write( "My problem is I can not  have a reason of GIVEN for step 4 but all other steps are correct not sure what I'm missing?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569000 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=569000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> apparently you were not given that GD is congruent to GF.<BR>\n" );
document.write( "but you are given that the triangle is isosceles, and you are given that angle EGD is congruent to angle EGF.<BR>\n" );
document.write( "you are also given that DF is the base.<BR>\n" );
document.write( "the base angles of the triangle therefore have to be DEG and EFG because one sides of each of those angle is the base.<BR>\n" );
document.write( "since the triangle is isosceles, then the base angles must be congruent because that is one of the properties of an isosceles triangle.<BR>\n" );
document.write( "since the triangle is isosceles, then the sides opposite the base angles must also be congruent because that is also one of the properties of an isosceles triangle.<BR>\n" );
document.write( "without getting too deep into it, i would say a simpler reason might be:\r<BR>\n" );
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document.write( "DG is congruent to FG (By definition, an isosceles triangle is a triangle that has two equal sides and a third side, which is called the base).\r<BR>\n" );
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document.write( "you might also be able to shorten this to (definition of an isosceles triangle), but that may be too cryptic although i have seen other proofs that sometimes use shorter explanations such as that.  \r<BR>\n" );
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document.write( "it follows from the fact that you are given that the triangle is isosceles, and you are given that the base of the triangle is DF.\r<BR>\n" );
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document.write( "that means that the two congruent sides must be DG and FG.\r<BR>\n" );
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