QuestionProve $\triangle A B C \cong \triangle E D C$ \begin{tabular}{|l|l|} \hline STATEMENTS & REASONS \\ \hline C is the midpoint of $\overline{A E}$ and $\overline{B D}$. & Given \\ \hline & \\ \hline & \\ \hline & Definition of midpoint \\ \hline & \\ \hline & \\ \hline \end{tabular} $$\overline{A C} \cong \overline{C D}, \overline{B C} \cong \overline{C E} \quad:: \overline{A C} \cong \overline{E C}, \overline{B C} \cong \overline{D C}$$ $\overline{A C} \cong \overline{B C}, \overline{D C} \cong \overline{E C}$ $\angle A C B \cong \angle E C D$ $\angle A B C \cong \angle C D E$ $\angle B A C \cong \angle C E D$ $\triangle A B C \cong \triangle E D C$ $\triangle A B C \cong \triangle C E D$ $\triangle B A C \cong \triangle D C E$ Vertical Angles Congruence Theorem Alternate Interior Angles Theorem SAS Congruence Theorem