Example Conclusion
Theorem
Perpendicular Bisector Theorem
If a point is on the perpendicular bisector of a segment,
then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem
If a point is equidistant from the endpoints of a segment,
then it is on the perpendicular bisector of the segment.
Angle Bisector Theorem
If a point is on the bisector of an angle, then it is
equidistant from the sides of the angle.
Converse of the Angle Bisector Theorem
If a point in the interior of an angle is equidistant from
the sides of the angle, then it is on the bisector of the
angle.
Practice:
Find each measure.
Am
2.5D
A
14
I sx
1. RT =
2.
АВ.
3.HJ
A A
A A
18
(2x + 5) W4X - 25)
4. EH =
5. mZQRS =
6. m2WXZ-