In the figure below $\overline{AB} $ is the perpendicular bisector of $\overline{CD}$

Question

$\begin{array}{1 1} (a)\; \text{$\Delta$ CEB is congruent to $\Delta DEB$} \\ (b)\; \text{$\Delta$ CEB is not congruent to $\Delta DEB$} \\ (c)\; \text{$\Delta$ CEB is similar to $\Delta DEB$} \\ (d)\; \text{$\Delta$ CEB is not similar to $\Delta DEB$} \end{array}$