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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
 one year ago
 one year ago
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
 one year ago
 one year ago

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ganeshie8Best ResponseYou've already chosen the best response.2
see the justification for statement after blank
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
they have used "Converse of Corresponding Angles Postulate" what does that mean ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
Converse of Corresponding Angles Postulate says, if corresponding angles are equal, then the lines are parallel
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
so we need to prove two corresponding angles are congruent
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
have a look at the triangle now
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
<BDE and <BAC are corresponding anlges, right ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
they are corresponding angles, cuz \(\triangle BDE\) and \(\triangle BAC\) are similar,
 one year ago

BIGDOG96Best ResponseYou've already chosen the best response.0
Yes, that makes the 3rde choice make sense.
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
now can we say they are congruent, cuz corresponding angles of similar triangles are congruent ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
so which one is it ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
it cannot be 3rd cuz, we dont know lines are parallel yet
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
notice the justification for 3rd one
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
yup ! you need to be careful about justification also
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.2
before the blank, we proved triangles are similar, in the blank, we use it
 one year ago
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