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Angle Bisectors in Triangles

Construction and properties of bisectors, which cut angles in half.

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Perpendicular Bisectors
Teacher Contributed

RWA Perpendicular Bisectors


City Planning


  • Circumcenter
  • Perpendicular Bisector

Student Exploration

You need to find a location for a hospital that is located equal distance from three main areas of town. OR you need to find the best place to meet up with our friends so that every one travels and equal distance. How do you use angle bisectors to do this?

The Circumcenter (the 3 perpendicular bisectors of a triangle)

Read more here ... http://www.mathopenref.com/trianglecenters.html

The Fermat Point, the point that minimizes the sum of the distances from three points.

Extension Investigation

Hospital Locator - http://illuminations.nctm.org/LessonDetail.aspx?id=L661
Google Maps Meet up meeting spot locator - http://www.technologyintegrationineducation.com/profiles/blogs/geogebra-a-christmas-story

Layering (optional)

Circumcenter Patty Paper
Circumcenter - Journey to the Center of a Triangle
Circumcenter - Journey to the Center of a Triangle: Answers!
USA today Activity - http://education.ti.com/xchange/US/Math/Geometry/7507/BirthsTE.pdf

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