1. **State the problem:** We have two congruent triangles, \(\triangle ABC\) and \(\triangle XYZ\), with corresponding parts marked. We need to identify the corresponding congruent angles and sides. 2. **Identify corresponding angles:** Congruent triangles have their vertices matched in order. Given \(\triangle ABC \cong \triangle XYZ\), the correspondence is \(A \leftrightarrow X\), \(B \leftrightarrow Y\), and \(C \leftrightarrow Z\). 3. **Match angles:** - \(\angle A \cong \angle X\) - \(\angle B \cong \angle Y\) - \(\angle C \cong \angle Z\) 4. **Match sides:** The tick marks indicate side congruences: - Side \(AC\) has a single tick, matching side \(XY\) with a single tick, so \(AC \cong XY\). - Side \(AB\) has a double tick, matching side \(XZ\) with a double tick, so \(AB \cong XZ\). - Side \(BC\) corresponds to side \(YZ\) (the remaining side), so \(BC \cong YZ\). 5. **Triangle congruence statement:** Given the vertex correspondence, \(\triangle BCA \cong \triangle YZX\) by rearranging vertices to match order. **Final answers:** (a) \(\angle A \cong \angle X\) \(\angle B \cong \angle Y\) \(\angle C \cong \angle Z\) (b) \(AB \cong XZ\) \(AC \cong XY\) \(BC \cong YZ\) (c) \(\triangle BCA \cong \triangle YZX\)