Complete the blanks in the following proof
Given: PQ¯¯¯¯¯¯¯¯
bisects <BQA; <PBQ ≅ <PAQ
Prove: PB¯¯¯¯¯¯¯¯ ≅PA¯¯¯¯¯¯¯¯
(5 points)
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Statements Reasons
1. PQ¯¯¯¯¯¯¯¯
bisects 1. Given
2. <BQP ≅ <PQA
2. Definition of an angle bisector
3. <PQB ≅ <PAQ
3. Response area
4. Response area 4. Reflexive Property
5. △BQP≅△AQP
5. Response area
6. Response area 6.Response area
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)