What are the missing parts that correctly complete the proof? Given: Point P is on the bisector of angle A B C. Prove: Point P is equidistant from the sides of angle A B C. Art: Three rays B A, B P, and B C point in rightward direction sharing a common endpoint labeled as B. Ray B P is horizontal and bisects angle A B C equally. The perpendicular from point P to ray B A is made by a dotted line. The perpendicular cuts ray B A at point X. Angle B X P is labeled a right angle. The perpendicular from point P to ray B C is made by another dotted line. The perpendicular cuts ray B C at point Y. Angle B Y P is labeled a right angle.

Drag the answers into the boxes to correctly complete the proof.
Statement Reason
1. BP−→− is the bisector of ∠ABC. Given
2. ∠ABP≅∠CBP Response area
3.∠BXP and ∠BYP are right angles. Given
4. Response area All right angles are congruent.
5. BP¯¯¯¯¯≅BP¯¯¯¯¯ Response area
6. △BXP≅△BYP Response area
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the sides of ∠ABC. Definition of equidistant