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Sunshine447
 3 years 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.
Sunshine447
 3 years 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.

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Sunshine447
 3 years ago
Best ResponseYou've already chosen the best response.0Complete the proof by entering the correct statements and reasons.

Sunshine447
 3 years ago
Best ResponseYou've already chosen the best response.0@amistre64 @jim_thompson5910

Hero
 3 years ago
Best ResponseYou've already chosen the best response.23. ∡BDE ≅ ∡BAC 3. Corresponding Angles Are Congruent

Sunshine447
 3 years ago
Best ResponseYou've already chosen the best response.0@Hero what about 6?

Hero
 3 years ago
Best ResponseYou've already chosen the best response.2Bro, giving you that is like giving you the answer.

Sunshine447
 3 years ago
Best ResponseYou've already chosen the best response.0is 6 something along the lines of ABC~DBE because they're similar triangles?

Sunshine447
 3 years ago
Best ResponseYou've already chosen the best response.0I dont understand number 6

Hero
 3 years ago
Best ResponseYou've already chosen the best response.2The last entry is always what you have to prove so 6. BD over BA equals BE over BC 6.

Hero
 3 years ago
Best ResponseYou've already chosen the best response.2Good luck figuring out the reason
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