Question

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.

          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.

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 AB≅EF,
∠ ABC ≅∠ EFG, BC≅FG,
∠ BCD ≅∠ FGH, and CD≅GH. Then
show ∠ BAD ≅∠ FEH, AD≅EH, and
∠ CDA ≅∠ GHE.
Hint: Draw AC and EG, and begin with
triangles ABC and EFG.

Added by Joaquin A.

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