EXPLANATION
Given the triangle:
 Statements Reason
 1. AC BISECTS ∠BCD Given
 2. ∠ABC ≅ ∠ADC Given
 3. AC≅AC Reflexive property of congruency
 4. ∠BAC ≅ ∠CAD Angle Bisector Theorem
 5. △ABC ≅ △ADC ASA Postulate
 6. AB ≅ AD Corresponding sides of congruent triangles are congruent