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:[br]1) BF bisects <HBF        1) Given[br]2) <BHF and <BGF are right triangles    2) Definition of a Perpendicular line[br]3) <BHF is congruent to <BGF      3) All right angles are congruent[br]4) <CBF is congruent to <ABF      4) Definition of an angle bisector[br]5) BF=BF           5) Reflexive property[br]6) Triangle BHF=Triangle BGF      6) AAS[br]7) HF=GF           7) CPCTC

Information: Angle Bisector Theorem