## Qwerty90 3 years ago 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

1. Qwerty90

2. Qwerty90

Any ideas?

3. FoolForMath

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

4. Qwerty90

Yes

5. FoolForMath

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

6. Qwerty90

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

7. FoolForMath

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

8. Qwerty90

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

9. FoolForMath

I don't understand.

10. happykiddo

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