Given:DE||AC In ∆ABC, .
Prove: BD/BA=BE/BC

Question

Given:DE||AC In ∆ABC,  .
Prove: BD/BA=BE/BC

anonymous · Answer

attachment

anonymous · Answer

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.

anonymous · Answer

3. ∡BDE ≅ ∡BAC: Corresponding Angles Postulate: