Question

ab || dc
reason: given
∠bac ≅ ∠dca
reason: select reason
∠bca ≅ ∠dac
reason: select reason
bc || ad
reason: given
bc ≅ ad
reason: select reason
△abc ≅ △cda
reason: select reason

Explanation:

Answer:

$\angle BAC \cong \angle DCA$: Alternate Interior Angles Theorem
$\angle BCA \cong \angle DAC$: Alternate Interior Angles Theorem
$\overline{BC} \cong \overline{AD}$: If two parallel lines are cut by a transversal, the alternate interior angles are congruent, and by the definition of a parallelogram, opposite sides are congruent
$\triangle ABC \cong \triangle CDA$: ASA (Angle-Side-Angle) Congruence Postulate