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
3. ∠bxp and ∠byp are right angles. given
4. all right angles are congruent.
5. bp≅bp
6. △bxp≅△byp
7. corresponding parts of congruent triangles are congruent.
8. point p is equidistant from the sides of ∠abc. definition of equidistant