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Lesson 5.2. Use Perpendicular Bisectors. Definitions. Perpendicular Bisector- Segment, Ray, Line, or Plane that is perpendicular to a segment at its midpoint
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Lesson 5.2 Use Perpendicular Bisectors
Definitions • Perpendicular Bisector- Segment, Ray, Line, or Plane that is perpendicular to a segment at its midpoint • Concurrent- When three or more lines, rays, or segments intersect at the same point(point of concurrency), they are called concurrent lines, rays, or segments.
Theorem 5.2Perpendicular Bisector Theorem • If CP is the bisector of AB, then CA = CB C A P B Theorem 5.3- Converse Perpendicular Bisector Theorem If CA = CB, then CP is the bisector of AB
Theorem 5.4Concurrency of Perpendicular Bisector • If PD, PE, and PF are perpendicular bisectors, then PA = PB = PC B Point P is called the Circumcenter D E P C A F