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