Question

Given: In ∆ABC, DE is parallel to AC
Prove: BD over BA is equal to BE over 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. DE is parallel to AC 1. Given
2.BA 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.

Answer 1

complete the [roof with the correct statement and reason for # 3 and # 6

Answer 2

@SmoothMath @Calcmathlete

Answer 3

@AccessDenied

Answer 4

@Zarkon