Statements Reasons
1. PQ¯¯¯¯¯¯¯¯ bisects <BQA 1. Given
2. <PBQ ≅ <PAQ 2. Definition of an angle bisector
3. <PQB ≅ <PAQ 3. Given
4. PB¯¯¯¯¯¯¯¯≅PA¯¯¯¯¯¯¯¯ 4. Corresponding parts of congruent triangles are congruent (CPCTC)
5. △BQP≅△AQP 5. Angle-side-angle (ASA) congruence theorem
6. PB¯¯¯¯¯¯¯¯≅PA¯¯¯¯¯¯¯¯ 6. Corresponding parts of congruent triangles are congruent (CPCTC)