Question

ac bisects ∠bcd
reason: given
∠bca ≅ ∠dca
reason: select reason
∠bac ≅ ∠dac
reason: select reason
ab ≅ ad
reason: select reason
△abc ≅ △adc
reason:

Explanation:

Answer:

$\angle BCA \cong \angle DCA$: Definition of Angle Bisector
$\overline{AB} \cong \overline{AD}$: Given
$\angle BAC \cong \angle DAC$: Given
$\triangle ABC \cong \triangle ADC$: ASA (Angle-Side-Angle) Congruence Postulate