Question

math help please?
In ΔABC shown below, BD over BA equals BE over BC:


The following flowchart 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 reason can be used to fill in the numbered blank space?

1. ∠BDE ≅ ∠BAC
2. Corresponding Angles Postulate
1. ∠BDE ≅ ∠BAC
2. Corresponding Parts of Similar Triangles
1. ∠BDE ≅ ∠BCA
2. Alternate Exterior Theorem
1. ∠BDE ≅ ∠BCA
2. Corresponding Parts of Similar Triangles

Answer 1

I have no idea-

Answer 2

SAS similarity you should know what that is
and "Converse of Corresponding Angles Postulate: If corresponding angles are congruent when two lines are cut by a transversal, then the lines are parallel."

mmm do you have choices?

Answer 3

Like the answer choices?

Answer 4

yes

Answer 5

1. ∠BDE ≅ ∠BAC
2. Corresponding Angles Postulate
1. ∠BDE ≅ ∠BAC
2. Corresponding Parts of Similar Triangles
1. ∠BDE ≅ ∠BCA
2. Alternate Exterior Theorem
1. ∠BDE ≅ ∠BCA
2. Corresponding Parts of Similar Triangles

Answer 6

Oh those are the choices o-o

Answer 7

yeah lol, I also have 2 pictures that have to do with the question

Answer 8

Well, if you have the choices, the only thing you need to know is the definition of all 4
2. Corresponding Angles Postulate
2. Corresponding Parts of Similar Triangles
2. Alternate Exterior Theorem
2. Corresponding Parts of Similar Triangles

And then just remember, you're trying to prove that the angles are congruent because the sides are proportional to each other

Answer 9

so is it Corresponding Angles Postulate?

Answer 10

I think it could be both the 1st and second ¯\_(ツ)_/¯

Answer 11

so would the correct answer be 1. ∠BDE ≅ ∠BAC
2. Corresponding Angles Postulate

Answer 12

If you want to go off of hte answer key, do that, then why ask me

Answer 13

idk im not too sure if im right

Answer 14

well, if it's the AnSwEr KeY of course it's right

Answer 15

welp ima just put that answer instead

Answer 16

this wasn't the right answer

Answer 17

okay then..