Given: In Triangle ABC, DE || AC.
Prove BD / BA = BE / BC

The two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally.

Statement
Reason
1. DE || AC
1. Given
2. is a transversal that intersects two parallel lines
2. Conclusion from Statement 1
3. ∡BDE ≅ ∡BAC
3. Corresponding Angles Postulate
4.
4.
5. ∆ABC ~ ∆DBE
5. Angle-Angle (AA) Similarity Postulate
6.
6.

Complete the proof by entering the correct statements and reasons.

Question

Given: In Triangle ABC, DE || AC. 
Prove BD / BA = BE / BC

The two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally. 

Statement
Reason
1. DE || AC
1. Given
2.  is a transversal that intersects two parallel lines
2. Conclusion from Statement 1
3. ∡BDE ≅ ∡BAC
3. Corresponding Angles Postulate
4.
4.
5. ∆ABC ~ ∆DBE
5. Angle-Angle (AA) Similarity Postulate
6.
6.


Complete the proof by entering the correct statements and reasons.

anonymous · Answer

Here's the Triangle

anonymous · Answer

Please, I need help with this one question. :(

anonymous · Answer

4) <ABC = <DBE.........common angle for both triangles.
6)  BD / BA = BE / BC........ratios of corresponding sides of similar triangles are always equal.

anonymous · Answer

Thanks so much! I really appreciate it

anonymous · Answer

sure, np!

anonymous · Answer

can i have help in one more question?

anonymous · Answer

Actually never mind. Thanks!