1. Chapter 5 Perpendicular Bisectors

2. Perpendicular bisector A segment, ray or line that is perpendicular to a segment at its midpoint

3. Perpendicular bisector theorem If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

4. A B C P Creates an isosceles triangle!

5. ExamplesNon-Examples

6. Perpendicular bisector of a triangle A line, ray, or segment that is perpendicular to a side of the triangle at the midpoint of the side.

7. Perpendicular Bisector

8. Concurrent lines When three or mores lines (rays or segments) intersect in the same point Point of concurrency The point of the intersection of the lines

9. Circumcenter Point of concurrency of the perpendicular bisectors of the triangle.

10. Circumcenter: Is inside an acute triangle Circumcenter!

11. Is on a right triangle

12. Is outside an obtuse triangle

13. Acute - Inside Right - On Obtuse - Outside

14. Perpendicular bisector formula Circumcenter to vertices is equal distance.

15. P B C A