Question

statements reasons 1. $overline{vw}paralleloverline{yz}$ 1. given 2. $angle xvwcongangle xyz$ and $angle xwvcongangle xzy$ 2. corresponding angles theorem 3. $\triangle xvwsim\triangle xyz$ 3. ? the last reason that proves $\triangle xvwcong\triangle xyz$ is missing. what is the missing reason for step 3? a) aa criterion b) ss criterion c) sas criterion d) sss criterion

Explanation:

We know two pairs of corresponding angles are congruent (from step 2). The AA (Angle - Angle) criterion for similarity of triangles states that if two pairs of corresponding angles of two triangles are congruent, then the triangles are similar.

Answer:

A. AA criterion