SOLUTION: 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

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
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
First draw two triangle: ABC and CDE that meet the questions criteria.
STATEMENT 1: triangle ABC and CDE
REASON 1: Given
STATEMENT 2: C is the midpoint of BD and AE
REASON 2: Given
STATEMENT 3: AC congruent CE ; BC congruent CD
REASON 3: definition of midpoint.
STATEMENT 4: angle BCA congruent angle DCE
REASON 4: definition of vertical angles
STATEMENT 5: triangle ABC congruent triangle EDC
REASON 5: SAS postulate
STATEMENT 6: angle ABC congruent angle EDC
REASON 6: CPTCTC
** step 6 is the key step **
STATEMENT 7: AB is parallel to ED
REASON 7: definition of alternate interior angles.

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