Problem 1
(Wallace and West, problem 3.3-2.) Prove the
SASAS congruence theorem for convex
quadrilaterals. That is, for the two quadrilaterals
below, assume $\overline{AB} \cong \overline{EF}$,
$\angle ABC \cong \angle EFG$, $\overline{BC} \cong \overline{FG}$,
$\angle BCD \cong \angle FGH$, and $\overline{CD} \cong \overline{GH}$. Then
show $\angle BAD \cong \angle FEH$, $\overline{AD} \cong \overline{EH}$, and
$\angle CDA \cong \angle GHE$.
Hint: Draw $\overline{AC}$ and $\overline{EG}$, and begin with
triangles $\triangle ABC$ and $\triangle EFG.
