1. 5-1 Vocabulary
Equidistant
Locus

2. 5.1 Perpendicular and Angle Bisectors
Geometry

3.  Bisector l
 bisector –a line, seg,ray or plane that is  to a segment at its midpoint.
A pt is equidistant from 2 pts if it is the same distance from each pt. (don’t have to all be collinear) __ A _ B M

4. Thm  bisector thm
If a pt is on the  bisector of a segment then it is equidistant from the endpts of the segment. C l B A M
If l is the  bisector of seg AB then CA=CB (and DA=DB) D

5. Thm 5-1-2 Converse of the  bisector thm
If a pt is equidistant from the endpts of a segment then it is on the  bisector C M B A
If CA=CB then C is on the  bisector of AB

6. Ex. 1a) Find MN N M L
Ex. 1a, b, c l

7. Ex. 1b.) Find BC

8. Ex. 1c.) Find TU

9. Proof Statements 1. l is the  bisector 2. M is the midpt of seg AB 3.4. 5.
6.   BCM
Reasons
1. given
2. Def of  bisector
3. Def of a midpt
4.  bisector thm
5. Reflex prop of
6. SSS

10. Distance from a pt to a line
Distance from a pt to a line- the length of the  seg from the pt to the line.
PD=distance from P to line l P l D

11. Thm 5-1-3  bisector thm D A ) O ) G
If a pt is on the bisector of an  then it is equidistant from the sides of the . D A ) O ) G

12. Thm 5-1-4 converse of the  bisector
If a pt is in the interior of an  and is equidistant from the sides then it is on the  bisector.

13. Ex. 2
Additional Ex 2 a. b. c pg. 302

14. Assignment