1. PERPENDICULAR BISECTORS SECTION 5.2

2. PERPENDICULAR BISECTOR THEOREM A point is on the perpendicular bisector if and only if it is equidistant from the endpoints of the segment.

3. EXAMPLE 1 Use the Perpendicular Bisector Theorem AD = CD Perpendicular Bisector Theorem 3x + 14 5x =5x = Substitute. 7 x = Solve for x. BD is the perpendicular bisector of AC. Find AD. AD = 5x = 5(7) = 35. ALGEBRA

4. CONCURRENCY The point of intersection of the lines, rays, or segments is called the point of concurrency.

5. POINTS OF CONCURRENCY The point of concurrency of the three perpendicular bisectors a triangle is called the circumcenter. The circumcenter can be inside, on, or outside the triangle.

6. WHAT IS SPECIAL ABOUT THE CIRCUMCENTER? The perpendicular bisectors of a triangle intersect at a point that is equisdistant from the vertices of the triangle. PA = PB = PC

7. ASSIGNMENT p. 306: 3-5,11-17