1. 1.5 Segment and Angle Bisector Bisect a segment and an angle

2. Definition of the Midpoint A midpoint bisects a segment into two equal segments. A M B So AM = MB

3. A Line can also bisect Here Line XY bisects CD at Q Y C QD X Thus CQ = QD

4. WE can find a segment bisector by folding paper Draw a line and mark the end point dark. Fold the paper to put one endpoint over the other endpoint. Where the paper is folded is the midpoint of the segment.

5. Midpoint Formula How to find the midpoint on a graph Given the endpoints (x,, y 1 ) and (x 2, y 2 ) of the Line segment we can use the formula Let the endpoint be (2, 8) and (6, 2) =

6. What if you are just given the Midpoint and an endpoint Midpoint (5, 6) and endpoint (6,4) 6 + x = 104 + y = 12 x = 4 and y = 8 other endpoint (4,8)

7. Angle bisector If YM is the angle bisector, then XM Y Z

8. Some work with Angle bisectors X MP bisect P MB

9. Solve for x BX bisect A XSolve for X B C

10. Solve for x BX bisect A XSolve for X B C2x + 6 = 3x + 2 4 = x

11. Homework Page 38 – 40 #17- 29 odd #31 – 33 #38 – 42 #44 – 49, 52, 54