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Given: In ∆ABC, segment DE is parallel to segment AC .
Prove: BD over BA equals BE over BC
The twocolumn 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.
3.
4. ∡B ≅ ∡B
4. Reflexive Property of Equality
5. ∆ABC ~ ∆DBE
5. AngleAngle (AA) Similarity Postulate
6.
6.
 one year ago
 one year ago
Given: In ∆ABC, segment DE is parallel to segment AC . Prove: BD over BA equals BE over BC The twocolumn 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. 3. 4. ∡B ≅ ∡B 4. Reflexive Property of Equality 5. ∆ABC ~ ∆DBE 5. AngleAngle (AA) Similarity Postulate 6. 6.
 one year ago
 one year ago

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Sunshine447Best ResponseYou've already chosen the best response.0
Complete the proof by entering the correct statements and reasons.
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
@amistre64 @jim_thompson5910
 one year ago

HeroBest ResponseYou've already chosen the best response.1
3. ∡BDE ≅ ∡BAC 3. Corresponding Angles Are Congruent
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
@Hero what about 6?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Bro, giving you that is like giving you the answer.
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
is 6 something along the lines of ABC~DBE because they're similar triangles?
 one year ago

Sunshine447Best ResponseYou've already chosen the best response.0
I dont understand number 6
 one year ago

HeroBest ResponseYou've already chosen the best response.1
The last entry is always what you have to prove so 6. BD over BA equals BE over BC 6.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Good luck figuring out the reason
 one year ago
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