Answer:
Statement Reason
AC bisects ∠BCD Given
∠BCA ≅ ∠DCA Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular
∠ADC ≅ ∠ABC Right angles are ≅
AC ≅ AC Reflexive property of congruence
ΔABC ≅ ΔACD AAS postulate
BC = DC Corresponding parts of congruent triangles are congruent