Question

(05.01 MC)
In ΔABC shown below,

:


The 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? (5 points)


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

ill medal with the best answer

Answer 2

@bibby

Answer 3

@ganeshie8

Answer 4

@Directrix

Answer 5

@dan815 @iambatman

Answer 6

What you need for your proof is given in this one.

Look at this diagram:

http://assets.openstudy.com/updates/attachments/53bd8945e4b07cc06b5088a2-amandarose23-1404930545711-0501_g2_q2.jpg

Answer 7

The image comes from this OpenStudy thread:

http://openstudy.com/updates/53bd8945e4b07cc06b5088a2

Answer 8

The work there was done by @ganeshie8

Answer 9

@ElonaSushchik

Answer 10

Thx @Directrix !!!

Answer 11

You are welcome.