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)![]() ![]() ![]() 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. \n" ); document.write( " \n" ); document.write( " |