In the figure at right, $\overline{AB} ≅ \overline{DC}$ and $∠ABC ≅ ∠DCB$.  

1. Is $\overline{AC} ≅ \overline{DB}$ ? Prove your answer using a flowchart or two-column proof.

   Hint (a):

   Mark the given information on the diagram. Remember that $\overline{BC} ≅ \overline{CB}$ because of the Reflexive Property.

2. Do the measures of $∠ABC$ and $∠DCB$ make any difference in your solution to part (a)? Explain why or why not.