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.


3.




4. ∡B ≅ ∡B


4. Reflexive Property of Equality




5. ∆ABC ~ ∆DBE


5. Angle-Angle (AA) Similarity Postulate




6.


6.



Complete the proof by entering the correct state