document.write( "Question 178370: Given: Line AEB and Line CED bisect each other at E\r
\n" ); document.write( "\n" ); document.write( "Prove: Line AC is parallel to Line BD\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #133417 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Given: Line AEB and Line CED bisect each other at E
\n" ); document.write( "Prove: Line AC is parallel to Line BD
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "***************************************************************************\r\n" );
document.write( "          statement                     reason\r\n" );
document.write( "***************************************************************************\r\n" );
document.write( "\r\n" );
document.write( "1. Line AEB and Line CED bisect         1. Given\r\n" );
document.write( "   each other at Point E.\r\n" );
document.write( "   \r\n" );
document.write( "\r\n" );
document.write( "2. AE congruent BE                      2. Definition of Bisector\r\n" );
document.write( "   DE congruent DE\r\n" );
document.write( "\r\n" );
document.write( "3. angle BDE congruent CEA              3. Vertical angles are congruent\r\n" );
document.write( "\r\n" );
document.write( "4.\"DELTA\"BED congruent\"DELTA\"AEC                  4. SAS\r\n" );
document.write( "\r\n" );
document.write( "5.angle ACE congruent angle BDE         5.CPCTC\r\n" );
document.write( "\r\n" );
document.write( "6.AC // BD                              6. converse alternate interior angles\r\n" );
document.write( "   \r\n" );
document.write( "\r\n" );
document.write( "SAS-Side Angle Side theorem\r\n" );
document.write( "CPCTC=congruent parts of congruent  \"DELTA\"'s are congruent\r\n" );
document.write( " \r\n" );
document.write( "
\n" ); document.write( "
\n" );