Write a two column proof

given: bd bisects abc, bd is the midpoint to ac

prove: a is congruent to c

Statement 1: BD bisects ABC. BD is the midpoint of AC. Reason: Given
Statement 2: Angle ABD is congruent to Angle CBD Reason: Definition of Angle Bisector
Statement 3: Segment AD is congruent to Segment CD. Reason: Definition of Midpoint
Statement 4: segment BD is congruent to Segment BD. Reason: reflective property
Statement 5: triangle ABD is congruent to triangle CBD Reason: ASA
Statement 6: A is congruent to C. Reason: CPCTC

Bis the correct answer