Use the guide to construct a two column proof proving △ A E C ≅ △ D E B , given that C A is parallel to D B and E is the midpoint of A D . Given: ¯¯¯¯¯¯¯¯ C A ∥ ¯¯¯¯¯¯¯¯¯ D B E is the midpoint of ¯¯¯¯¯¯¯¯¯ A D A D ¯ Prove: △ A E C ≅ △ D E B △ A E C ≅ △ D E B STATEMENT REASON 1. ¯¯¯¯¯¯¯¯ C A ∥ ¯¯¯¯¯¯¯¯¯ D B C A ¯ ∥ D B ¯ E E is the midpoint of ¯¯¯¯¯¯¯¯¯ A D A D ¯ 1. 2. 2. 3. 3. Definition of Midpoint 4. △ A E C ≅ △ D E B △ A E C ≅ △ D E B 4.