Given: In ∆ABC, . Prove: The two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally. Statement Reason 1. 1. Given 2. is a transversal that intersects two parallel lines 2. Conclusion from Statement 1 3. 3. 4. ∡B ≅ ∡B 4. Reflexive Property of Equality 5. ∆ABC ~ ∆DBE 5. Angle-Angle (AA) Similarity Postulate 6. 6.

Question

Given: In ∆ABC,  . Prove:       The two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally.   Statement Reason 1.  1. Given 2.  is a transversal that intersects two parallel lines 2. Conclusion from Statement 1 3. 3. 4. ∡B ≅ ∡B 4.	Reflexive Property of Equality 5. ∆ABC ~ ∆DBE 5.	Angle-Angle (AA) Similarity Postulate 6. 6.