Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
BIGDOG96
Group Title
Given: In ∆ABC below,BD over BA equals BE over BC .
Prove: segment DE is parallel to segment AC
The flow chart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side.
Which statement and reason can be used to fill in the numbered blank spaces?
Answers
1. ∡BDE ≅ ∡BAC
2. Corresponding Parts of Similar Triangles
1. ∡BDE ≅ ∡BCA
2. Alternate Exterior Theorem
1. ∡BDE ≅ ∡BAC
2. Corresponding Angles Postulate
1. ∡BDE ≅ ∡BCA
2. Corresponding Parts of Similar
 2 years ago
 2 years ago
BIGDOG96 Group Title
Given: In ∆ABC below,BD over BA equals BE over BC . Prove: segment DE is parallel to segment AC The flow chart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side. Which statement and reason can be used to fill in the numbered blank spaces? Answers 1. ∡BDE ≅ ∡BAC 2. Corresponding Parts of Similar Triangles 1. ∡BDE ≅ ∡BCA 2. Alternate Exterior Theorem 1. ∡BDE ≅ ∡BAC 2. Corresponding Angles Postulate 1. ∡BDE ≅ ∡BCA 2. Corresponding Parts of Similar
 2 years ago
 2 years ago

This Question is Closed

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.0
I think it's A.
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
see the justification for statement after blank
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
they have used "Converse of Corresponding Angles Postulate" what does that mean ?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
Converse of Corresponding Angles Postulate says, if corresponding angles are equal, then the lines are parallel
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
so we need to prove two corresponding angles are congruent
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
have a look at the triangle now
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
<BDE and <BAC are corresponding anlges, right ?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
they are corresponding angles, cuz \(\triangle BDE\) and \(\triangle BAC\) are similar,
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.0
Yes, that makes the 3rde choice make sense.
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
now can we say they are congruent, cuz corresponding angles of similar triangles are congruent ?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
so which one is it ?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
it cannot be 3rd cuz, we dont know lines are parallel yet
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
notice the justification for 3rd one
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
yup ! you need to be careful about justification also
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.3
before the blank, we proved triangles are similar, in the blank, we use it
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.0
Oh, got cha
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.0
Two more questions.
 2 years ago
See more questions >>>
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.