1. To Start: 20 Points 1. What is a midsegment?
2. What is a perpendicular bisector?

2. Section 5-2: Perpendicular and Angle Bisectors
Chapter 5
Section 5-2: Perpendicular and Angle Bisectors

3. Perpendicular Bisectors
Theorem 5-2: Perpendicular Bisector Theorem – If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
If…
Then… P A B M

4. Converse of the Perpendicular Bisector Theorem
Theorem 5-3: If a point is equidistant from the endpoints of the segment, then it is on the perpendicular bisector of the segment
If…
Then… P A B M

5. Perpendicular Bisectors
What is the length of AB? B 4x
6x-10 A C D

6. Angle Bisector
Theorem 5-4: Angle Bisector Theorem – If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
If…
Then… P S Q R

7. Converse of the Angle Bisector Theorem
Theorem 5-5: If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.
If…
Then… P S Q R

8. Angle Bisectors
What is the length of RM when ray RN bisects angle PNM? P 7x R N
2x+25 M

9. Homework!!!! Page 296 1-3, 6-8, 12-20 5.2 Worksheet 5.1 Quiz Tomorrow
Talking Assignment:
Pg , 26, 27