1. **Problem Statement:** Given two triangles with the congruency statements $AB \cong XY$, $\angle B \cong \angle Y$, and $BC \cong YZ$, identify the correct diagram and the triangle congruency theorem that applies. 2. **Understanding the Given Information:** - Side $AB$ is congruent to side $XY$. - Angle $B$ is congruent to angle $Y$. - Side $BC$ is congruent to side $YZ$. 3. **Matching the Diagram:** - The top-right diagram shows triangles $ABC$ and $XYZ$ with $AB$ corresponding to $XY$, $\angle B$ corresponding to $\angle Y$, and $BC$ corresponding to $YZ$. - The bottom-right diagram does not match these congruencies. 4. **Triangle Congruency Theorem:** - The given information corresponds to two sides and the included angle between them. - This matches the **Side-Angle-Side (SAS) Triangle Congruency Theorem**. 5. **Triangle Congruency Statement:** - The correct congruency statement is: $$\text{cong}(\triangle ABC, \triangle XYZ)$$ **Final answer:** The top-right diagram illustrates the congruency statements, and the Side-Angle-Side Triangle Congruency Theorem is used to show the triangles are congruent.