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Notes 5-1

Notes 5-1. Bisectors, Medians, and Altitudes. Perpendicular Bisectors:. Acute. Right. Obtuse. Perpendicular Bisectors:. A line, segment, or ray that passes through the midpoint of the side of a triangle and is perpendicular to that side.

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Notes 5-1

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  1. Notes 5-1 Bisectors, Medians, and Altitudes

  2. Perpendicular Bisectors: Acute Right Obtuse

  3. Perpendicular Bisectors: • A line, segment, or ray that passes through the midpoint of the side of a triangle and is perpendicular to that side. • ConcurrentLines: Lines that intersect at a common point, point of concurrency. • Circumcenter: Point of concurrency for perpendicular bisectors of a triangle. • CircumcenterTheorem: Circumcenter is equidistant from every vertex of the triangle.

  4. Angle Bisectors: Acute Right Obtuse

  5. Angle Bisectors: • Line, segment, or ray that bisects an angle into 2 congruent angles. • Incenter: Point of concurrency of the angle bisectors of a triangle (always inside). • Incenter is equidistant from every side of a triangle.

  6. Medians: Acute Right Obtuse

  7. Medians: • A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. • Centroid: Point of concurrency of the medians of a triangle. • Centroid is the point of balance for any triangle.

  8. Altitudes: Acute Right Obtuse

  9. Altitudes: • Segment from a vertex of a triangle to the opposite side and perpendicular to the line containing that side. • Orthocenter: Point of concurrency of the altitudes of a triangle.

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