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. ∡BDE ≅ ∡BAC 3. Corresponding Angles Postulate 4. 4. 5. ∆ABC ~ ∆DBE 5. Angle-Angle (AA) Similarity Postulate 6. 6.

Question

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. ∡BDE ≅ ∡BAC 3. Corresponding Angles Postulate 4. 4. 5. ∆ABC ~ ∆DBE 5. Angle-Angle (AA) Similarity Postulate 6. 6.