GEOMETRY PLEASE HELP!! NEED HELP WITH PROOFS


In ΔABC shown below, segment DE is parallel to segment AC:


Triangles ABC and DBE where DE is parallel to AC


The following 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. Line segment DE is parallel to line segment AC 1. Given
   
2. Line segment AB is a transversal that intersects two parallel lines. 2. Conclusion from Statement 1.
   
3. ∠BDE ≅ ∠BAC 3. Corresponding Angles Postulate
   

4.? 4.?

5.? 5.?

1. BD over BA equals BE over BC 6. Converse of the Side-Side-Side Similarity Theorem
   
   
   

Which statement and reason accurately completes the proof?

1. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
   
   
2. ∠B ≅ ∠B; Reflexive Property of Equality
   
   
3. ∠B ≅ ∠B; Reflexive Property of Equality
   
   
4. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate
   
   
5. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
   
   
6. ∠A ≅ ∠C; Isosceles Triangle Theorem
   
   
7. ∠A ≅ ∠C; Isosceles Triangle Theorem
   
   
8. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate