Question: Given: AABC with B = BB Prove: DE || AC E Statement Reason 1 DB given AD 2. DB +1= EB + 1 Addition Property

Given: AABC with B = BB Prove: DE || AC E
Given: AABC with B = BB Prove: DE || AC E Statement Reason 1 DB given AD 2. DB +1= EB + 1 Addition Property of Equality 3. AD + DB CE + EB DB EB using common denominators 4. AB = AD + DB CB = CE+ EB segment addition AB 5. DB CB EB Substitution Property of Equality 6. Reflexive Property of Congruence 7. AABC - ADBE SAS similarity criterion 8. ZBAC~ LBDE Corresponding angles of similar triangles are congruent. If the corresponding angles formed by two lines cut 9. DE | AC by a transversal are congruent, then the lines are parallel

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