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tahtah99
Given:DE||AC In ∆ABC, . Prove: BD/BA=BE/BC
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 Reason:Angle-Angle (AA) Similarity Postulate 6. 6. Converse of the Side-Side-Side Similarity Theorem Complete the proof by entering the correct statements and reasons.
3. ∡BDE ≅ ∡BAC: Corresponding Angles Postulate: