Chapter 4.1, Problem 40E

In quadrilaterals ABCD and EFGH, $\stackrel{-}{AB}\parallel \stackrel{-}{DC}$, $\stackrel{-}{EF}\parallel \stackrel{-}{HG}$, $\mathrm{\angle }A\cong \mathrm{\angle }E$, and $\angle B\cong \angle F$, and $\stackrel{-}{AD}\cong \stackrel{-}{EH}$.

a) Are quadrilaterals ABCD and EFGH congruent?

b) Is diagonal $\stackrel{-}{DB}$ congruent to diagonal $\stackrel{-}{EG}$?