document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872841>Question 872841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok, this one is killing me, I guess I just can't wrap my head around it.  Tired of trying and failing to get it.  Given: Triangle ACB is Isosceles with a base of segment AC.  There is a segment running from B to the base ending at D(not stated as a given, but is drawn).  Given: Angle CBD is congruent to Angle ABD. Prove: D is the midpoint of segment AC.  I have tried to write the two column proof and have no confidence I am doing anything write.  This is the last homework question I have to complete for this semester.  Any help with this is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526457 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In triangles CBD & ABD\r<BR>\n" );
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document.write( "angle CBD is congruent to angle ABD<BR>\n" );
document.write( "side BC is congruent to side AB ( isosceles triangle)<BR>\n" );
document.write( "AD is the common side\r<BR>\n" );
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document.write( "so the triangles are congruent\r<BR>\n" );
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document.write( "there fore AD = DC\r<BR>\n" );
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document.write( "therefore D is the mid point of AC\r<BR>\n" );
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document.write( "OR you can also prove by angular bisector theorem\r<BR>\n" );
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document.write( "BD is the angular bisector of angle C<BR>\n" );
document.write( "AC=BC\r<BR>\n" );
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document.write( "D is any point on the angular bisector of angle C\r<BR>\n" );
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document.write( "Any point on the angular bisector of and angle is equidistant from the endpoints of the sides of the angle contained by them\r<BR>\n" );
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document.write( "therefore D is the mid point of AB\r<BR>\n" );
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document.write( " </SPAN>\n" );
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