Given: In ∆ABC BD/BA=BE/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?

Question

Given: In ∆ABC BD/BA=BE/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?

anonymous · Answer

attachment

geometry_hater · Answer

I would say DE and AC are parallel because the way the lines are positioned would make parallel lines

anonymous · Answer

these are the choices:
		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