Given: In ∆ABC, segment DE is parallel to segment AC .
Prove: BD over BA equals BE over 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. segment DE is parallel to segment AC

1. Given
2. Line segment BA 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

Question

Given: In ∆ABC, segment DE is parallel to segment AC .
Prove: BD over BA equals BE over 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. segment DE is parallel to segment AC
	
1. Given
2. Line segment BA 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

anonymous · Answer

complete   the proof  by entering the correct  statement and reason. 4 and 6.

anonymous · Answer

attachment

saifoo.khan · Answer

http://openstudy.com/study#/updates/4fcf6e92e4b0c6963ada6362

anonymous · Answer

whats the link?

saifoo.khan · Answer

The question is already solved over there.

anonymous · Answer

with the statement and reason for 4 and 6 ?

saifoo.khan · Answer

Guess so. Check it out.

anonymous · Answer

okay well do.