Angle Bisector Theorem
If a point is on the bisector of an angle, then it must be equidistant from the sides of an angle
Statements: ` Reasons:
1) BF bisects <HBF 1) Given
2) <BHF and <BGF are right triangles 2) Definition of a Perpendicular line
3) <BHF is congruent to <BGF 3) All right angles are congruent
4) <CBF is congruent to <ABF 4) Definition of an angle bisector
5) BF=BF 5) Reflexive property
6) Triangle BHF=Triangle BGF 6) AAS
7) HF=GF 7) CPCTC