Question

In ΔABC shown below, BD over BA equals BE over BC:

Answer 1

The flowchart 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:

Answer 2

Which reason can be used to fill in the numbered blank space?

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

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

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

1. ∠BDE ≅ ∠BCA
2. Corresponding Parts of Similar Triangles