the congruency of △mno and △xyz can be proven using a reflection across the line bisecting oz . however, this congruency can also be proven using geometric postulates, theorems, and definitions. prove that the triangles are congruent using a two-column proof and triangle congruency theorems.
given: ∠m ≅ ∠x

∠n ≅ ∠y

yo ≅ nz
prove: △mno ≅ △xyz