1. 1.5 Segment & Angle Bisectors p.34

2. Always Remember! If they are congruent, then set their measures equal to each other!

3. Midpoint The point that bisects a segment. Bisects? splits into 2 equal pieces A M B 12x+3 10x+5 12x+3=10x+5 2x=2 x=1

4. Segment Bisector A segment, ray, line, or plane that intersects a segment at its midpoint. A B M k

5. Compass & Straightedge Tools used for creating geometric constructions We will do a project with these later.

6. Midpoint Formula Used for finding the coordinates of the midpoint of a segment in a coordinate plane. If the endpoints are (x 1,y 1 ) & (x 2,y 2 ), then

7. Ex: Find the midpoint of SP if S(-3,- 5) & P(5,11).

8. Ex: The midpoint of AB is M(2,4). One endpoint is A(-1,7). Find the coordinates of B.

9. Angle Bisector A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. B A C D

10. Ex: If FH bisects <EFG & m<EFG=120 o, what is m<EFH? G H E F

11. Last example: Solve for x. x+40 o 3x-20 o * If they are congruent, set them equal to each other, then solve! x+40=3x-20 40=2x-20 60=2x 30=x