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. 3. 4. ∡B ≅ ∡B 4. Reflexive Property of Equality 5. ∆ABC ~ ∆DBE 5. Angle-Angle (AA) Similarity Postulate 6. 6.

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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. 3. 4. ∡B ≅ ∡B 4. Reflexive Property of Equality 5. ∆ABC ~ ∆DBE 5. Angle-Angle (AA) Similarity Postulate 6. 6.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Complete the proof by entering the correct statements and reasons.
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3. ∡BDE ≅ ∡BAC 3. Corresponding Angles Are Congruent
@Hero what about 6?
Bro, giving you that is like giving you the answer.
is 6 something along the lines of ABC~DBE because they're similar triangles?
I dont understand number 6
The last entry is always what you have to prove so 6. BD over BA equals BE over BC 6.
Good luck figuring out the reason

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