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

Question

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

anonymous · Answer

attachment

anonymous · Answer

Any ideas?

anonymous · Answer

The question is not clear, can we assume that the sides are parallel?

anonymous · Answer

Yes

anonymous · Answer

If we can assume that the midsegement and the third side are parallel then :

1. ∡BDE ≅ ∡BAC
   2. Corresponding Angles Postulate

anonymous · Answer

Well, There is no parallel symbol on segment DE. so what would it be if it was not parallel?

anonymous · Answer

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

anonymous · Answer

Well that last statement says DE P AC. I am going ot assume "p" is parallel

anonymous · Answer

I don't understand.

happykiddo · Answer

you and me both :(
Qwerty90 you didnt include the flowchart or the possible answers