1. **State the problem:** Given that $AB \cong DE$, $\angle C \cong \angle F$, and $\angle B \cong \angle E$, prove that $\triangle ABC \cong \triangle DEF$. 2. **Recall the Angle-Side-Angle (ASA) Congruence Postulate:** If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. 3. **Identify the given congruences:** - $AB \cong DE$ (side) - $\angle C \cong \angle F$ (angle) - $\angle B \cong \angle E$ (angle) 4. **Determine the missing reasons:** - Reason 1: Given (already stated) - Reason 2: Given (already stated) - Reason 3: Given (already stated) 5. **Apply the ASA postulate:** Since two angles and the included side between them in $\triangle ABC$ are congruent to the corresponding two angles and included side in $\triangle DEF$, by ASA postulate, $$\triangle ABC \cong \triangle DEF$$ 6. **Complete the proof table:** \nStatements Reasons 1. $AB \cong DE$ 1. Given 2. $\angle C \cong \angle F$ 2. Given 3. $\angle B \cong \angle E$ 3. Given 4. $\triangle ABC \cong \triangle DEF$ 4. ASA Postulate This completes the proof that the two triangles are congruent by ASA.