document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817965>Question 817965</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! How are you? I have a question pertaining to writing a proof. \r<BR>\n" );
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document.write( "This is what the figure looks like: http://imgur.com/1y9Jh6m\r<BR>\n" );
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document.write( "Given: Triangle ABF is congruent to triangle DFB, F is the midpoint of segment AE, and B is the midpoint of segment AC. \r<BR>\n" );
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document.write( "Prove: Triangle FDE is congruent to triangle BCD is congruent to triangle ABF (it's proving the three triangles are congruent to each other). \r<BR>\n" );
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document.write( "I tried it on my own, and I came up with the fact that, due to the definition of a midpoint, segment AF is congruent to segment FE and segment AB is congruent to segment BC. \r<BR>\n" );
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document.write( "The problem is, I'm not sure how to find out the other side or angle measures -- I'm stuck, and I don't know what to do next.\r<BR>\n" );
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document.write( "Thank you in advance for any and all help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492468 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice that the big outer triangle is similar to the triangle on the top,<BR>\n" );
document.write( "since the side lengths are proportional ( Can be developed from the<BR>\n" );
document.write( "midpoint information ).  This means that angle AEC = angle AFB, and<BR>\n" );
document.write( "angle ACE = angle ABF.  Notice also that angle FDB = angle FAB since they<BR>\n" );
document.write( "are opposite the same side of congruent triangles.\r<BR>\n" );
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document.write( "Let me know if this lets you finish.  I was playing with vertical angles and<BR>\n" );
document.write( "the like to try to get further. </SPAN>\n" );
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