Answer:
The answer is C.
Step-by-step explanation:
Reiko is going to use AAS to prove that VWX = AYZX. AAS is an angle-angle-side similarity theorem. It states that if two angles of one triangle are congruent to two angles of another triangle, and the included sides are congruent, then the two triangles are similar.
In order to use AAS, Reiko needs to show that \angle VXW \cong \angle YXZ and WX \cong XZ. She can show that \angle VXW \cong \angle YXZ by the vertical angles theorem, which states that vertical angles are congruent. She can show that WX \cong XZ by CPCTC, which states that corresponding sides of similar triangles are congruent.
Therefore, C is the correct answer