Question

Given: In ∆ABC below, . BD over BA = BE over BC
Prove: line DE is parallel to line AC


The flow chart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side.

Which statement and reason can be used to fill in the numbered blank spaces?

1. ∡BDE ≅ ∡BAC
2. Corresponding Parts of Similar Triangles

1. ∡BDE ≅ ∡BCA
2. Alternate Exterior Theorem

1. ∡BDE ≅ ∡BAC
2. Corresponding Angles Postulate

1. ∡BDE ≅ ∡BCA
2. Corresponding Parts of