document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196788>Question 1196788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: segment AC bisects segment DB\r<BR>\n" );
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document.write( "Given: segment DB bisects segment AC\r<BR>\n" );
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document.write( "Given: CE = BE\r<BR>\n" );
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document.write( "Prove: segment AE is congruent to segment DE </SPAN>\n" );
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document.write( "Not true --- so of course it can't be proved.<br><BR>\n" );
document.write( "AC and BD bisecting each other means ABCD is a parallelogram.<br><BR>\n" );
document.write( "Point E is not defined; we only know that CE=BE, which means E is somewhere on the perpendicular bisector of side BC.<br><BR>\n" );
document.write( "But in the general case -- even if E is the midpoint of BC -- it is NOT true that AE and DE are congruent.<br><BR>\n" );
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