document.write( "Question 252625: given: triangle ABC and triangle EDC, C is the midpoint of line BD and line AE
\n" ); document.write( "Prove: line AB is parallel to line DE.
\n" ); document.write( "

Algebra.Com's Answer #184664 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
STATEMENT 1: triangle ABC, triangle EDC
\n" ); document.write( "REASON 1: given
\n" ); document.write( "STATEMENT 2: C is midpoint of AE and C is midpoint AE
\n" ); document.write( "REASON 2: given
\n" ); document.write( "STATEMENT 3: CA ~ CB ~ CD ~ CE
\n" ); document.write( "REASON 3: definition of midpoint.
\n" ); document.write( "STATEMENT 4: angle DCE ~ angle BCA
\n" ); document.write( "REASON 4: definition of vertical angles.
\n" ); document.write( "STATEMENT 5: triangle DCE ~ triangle BCA
\n" ); document.write( "REASON 5: SAS
\n" ); document.write( "STATEMENT 6: DE ~ BA
\n" ); document.write( "REASON 6: CPCTC
\n" ); document.write( "STATEMENT 7: angle EDC ~ angle ABC
\n" ); document.write( "REASON 7: CPCTC
\n" ); document.write( "STATEMENT 8: line AB parallel to line DE
\n" ); document.write( "REASON 8: definition of parallel lines.
\n" ); document.write( "
\n" );