document.write( "Question 252480: How would you write the two column proof for a problem that states the following: Given: Triangle ABC and Triangle EDC, C is the midpoint of BD and AE. Prove: AB is Parallel to DE \n" ); document.write( "
Algebra.Com's Answer #184413 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
First draw two triangle: ABC and CDE that meet the questions criteria.
\n" ); document.write( "STATEMENT 1: triangle ABC and CDE
\n" ); document.write( "REASON 1: Given
\n" ); document.write( "STATEMENT 2: C is the midpoint of BD and AE
\n" ); document.write( "REASON 2: Given
\n" ); document.write( "STATEMENT 3: AC congruent CE ; BC congruent CD
\n" ); document.write( "REASON 3: definition of midpoint.
\n" ); document.write( "STATEMENT 4: angle BCA congruent angle DCE
\n" ); document.write( "REASON 4: definition of vertical angles
\n" ); document.write( "STATEMENT 5: triangle ABC congruent triangle EDC
\n" ); document.write( "REASON 5: SAS postulate
\n" ); document.write( "STATEMENT 6: angle ABC congruent angle EDC
\n" ); document.write( "REASON 6: CPTCTC
\n" ); document.write( "** step 6 is the key step **
\n" ); document.write( "STATEMENT 7: AB is parallel to ED
\n" ); document.write( "REASON 7: definition of alternate interior angles.
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