Question

Given: ​​△ABC, F C¯¯¯¯¯ ∥B A¯¯¯¯¯, and A F¯¯¯¯¯ bisects ∠BAC

Prove: AB/BD=AC/CD

Answer 1

Insufficient information is provided to accurately prove the ratio AB/BD = AC/CD, as the necessary geometric properties and diagram context are not fully detailed.

Step-by-step explanation:

The question requires a proof of the ratio AB/BD = AC/CD given a triangle ABC with some specific properties. The reference information provided does not include the full conditions of the given triangle or sufficient context to solve this specific geometric proof. Thus, without the complete details of the diagram or the triangle's properties such as the locations of points D and F, it is not possible to provide an accurate proof. In general, to prove that AB/BD = AC/CD, one would need to establish the similarity of certain triangles and use properties of parallel lines and angle bisectors.

Answer 2

had this exact question on my test! the correct answers are:

Alternate Interior Angles Theorem

<ADB~/=<CDF

Angle Angle Similarity Postulate

hope this helped!!