1. 5.1 Perpendicular and Angle Bisectors
Guiding Question:

2. Vocabulary/Theorems
Equidistant: when a point is the same distance from two or more objects
5-1-1: Perpendicular Bisector Theorem: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
XA=XB X A B Y

3. 5-1-2 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 a segment.
XY AB
YA ~ YB X A B Y

4. 5-1-3 Angle Bisector Theorem: if a point is on the bisector of an angle, then it is equidistant from the sides of the angle
5-1-4 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. A
AC=BC C B P
˂APC ˂BPC

5. Perpendicular Bisector
Find the measure of MN
Example 1:
Example 2:
2.6 M L P
Find the measure of BC B 38 A D 12 38 C

6. Angle Bisector Example 3 Example 4 Find the measure of BC
7.2 D A G
Find the m<EFH, given that m<EFG=50 H E F

7. Homework DUE WEDNESDAY!
Page 304: 2-8 even, even