A community for students.
Here's the question you clicked on:
 0 viewing
Sunshine447
 2 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
 2 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.

This Question is Closed

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

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

Hero
 2 years ago
Best ResponseYou've already chosen the best response.13. ∡BDE ≅ ∡BAC 3. Corresponding Angles Are Congruent

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

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Bro, giving you that is like giving you the answer.

Sunshine447
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0I dont understand number 6

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

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Good luck figuring out the reason
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.