1. The problem states that triangles $\triangle ABC$ and $\triangle CBE$ are congruent, i.e., $\triangle ABC \cong \triangle CBE$. 2. This means all corresponding sides and angles of the two triangles are equal. 3. The ASA (Angle-Side-Angle) postulate is a criterion for triangle congruence which states that 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. 4. Since $\triangle ABC \cong \triangle CBE$ by ASA, corresponding parts are equal: - $\angle A = \angle C$ (corresponding angles) - $\overline{AB} = \overline{CB}$ (corresponding sides) - $\angle B = \angle E$ (corresponding angles) 5. This congruence can be used to deduce unknown side lengths or angle measures in problems involving these triangles. 6. The AAJ post and other notes indicate right angles and other properties but are not directly relevant to this congruence statement. Final conclusion: $\triangle ABC \cong \triangle CBE$ by ASA postulate, meaning all corresponding sides and angles are equal.