Answer:
AA Theorem
Step-by-step explanation:
In order to prove AB/AE = AC/AD, we need to prove that the triangles are similar. The AA Theorem says that if two triangles share two congruent angles, then the triangles are similar. The given states that ∠ABE ≅ ∠ACD, which means these two angles are congruent.
For the second angle, both triangles have the angle by point A. These angles can be written as ∠A ≅ ∠A. These angles are congruent because of the reflexive property.
Because we have proven these triangles to be simliar, we know the proportion AB/AE = AC/AD is correct because corresponding sides of similar triangles are proportional.
