What are the missing parts that correctly complete the proof ?

given : point p is on the bisector of ∠abc.

prove: point p is equidistant from the sides of ∠abc.

drag the answers into the boxes to correctly complete the proof .

1. bp is the bisector of ∠abc reason given

2. ∠abp ≅ ∠cbp reason

3. ∠bxp and ∠by p are right angles reason given

4. all right angles are congruent

5. bp ≅ bp reason

6. δ bxp ≅ δ by p reason

7. reason corresponding parts of congruent triangles are congruent.

8. point p is equidistant from the sides of ∠abc reason definition of equidistant

answers to fill in

definition of perpendicular

reflexive property of congruence

transitive property of congruence

aas congruence postulate

asa congruent postulate

px ≅py

∠bxp ≅ ∠by p

definition of bisector