Angle Bisector Theorem
- Author:
- Juliette
If a point is on the bisector of an angle, then it must be equidistant from the sides of the angle
| Statements | Reasons |
| line h is the angle bisector of angle B | Given |
| D is a point along the angle bisector | Given |
| angles DBE and FBD are congruent | Def. of angle bisector |
| line j is perpendicular to BC | Given |
| line i is perpendicular to AB | Given |
| angles E and F are congruent | Def. of perpendicular |
| line BD is congruent to BD | Reflexive property |
| Triangles BFD and BDE | AAS |
| Segment DE and FD are congruent | CPCTC |
| | |
| | |