Given: In ∆ABC, .
Prove:

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.
1. Given
2. is a transversal that intersects two parallel lines
2. Conclusion from Statement 1
3.
3.
4. ∡B ≅ ∡B
4. Reflexive Property of Equality
5. ∆ABC ~ ∆DBE
5. Angle-Angle (AA) Similarity Postulate
6.
6.

Complete the proof by entering the correct statements and reasons.

Question

Given: In ∆ABC,  .
Prove:  

 

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. 
1. Given
2.  is a transversal that intersects two parallel lines
2. Conclusion from Statement 1
3.
3.
4. ∡B ≅ ∡B
4.	Reflexive Property of Equality
5. ∆ABC ~ ∆DBE
5.	Angle-Angle (AA) Similarity Postulate
6.
6.


Complete the proof by entering the correct statements and reasons.

anonymous · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1002_05/image0104e98408d.gif

anonymous · Answer

I think #3 would be that line BC is a transversal due to the conclusion from statement 1.

anonymous · Answer

I just need help on what # 6 would be.....

anonymous · Answer

So, may someone please help me?

jim_thompson5910 · Answer

# 6 looks like the conclusion

so the parallel line divides the two sides it intersects proportionally

anonymous · Answer

Ok, thank you!!! :)

jim_thompson5910 · Answer

you're welcome