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Points of Concurrency

Points of Concurrency. The point where three or more lines intersect. Median of a Triangle. A segment from one vertex of the triangle to the midpoint of the opposite side. How many medians does a triangle have?. The intersection of the medians is called the CENTROID. Angle Bisector.

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Points of Concurrency

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  1. Points of Concurrency The point where three or more lines intersect.

  2. Median of a Triangle • A segment from one vertex of the triangle to the midpoint of the opposite side.

  3. How many medians does a triangle have? The intersection of the medians is called the CENTROID.

  4. Angle Bisector Angle Bisector cuts the angle into 2 equal parts

  5. How many angle bisectors does a triangle have? The intersection of the angle bisectors is called the INCENTER.

  6. What is special about the INCENTER? Equidistant to sides of the triangle

  7. Perpendicular Bisector perpendicular to a side at its midpoint

  8. How many perpendicular bisectors does a triangle have? The intersection of the perpendicular bisector is called the CIRCUMCENTER.

  9. What is special about the CIRCUMCENTER? Equidistant to the vertices of the triangle.

  10. Altitude Altitude vertex to opposite side and perpendicular

  11. How many altitudes does a triangle have? The intersection of the altitudes is called the ORTHOCENTER.

  12. Tell whether each red segment is an altitude of the triangle. YES The altitude is the “true height” of the triangle. NO YES

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