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Interactive Geometry Dictionary
Some Properties of the Angle Bisector

What can you say about the three angle bisectors belonging to a triangle?

In the applet below, the angle bisectors of all three angles of a triangle have been constructed. Drag the vertices to change the triangle. What is always true of the three angle bisectors of a triangle?

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Theorem

The three angle bisectors of a triangle all pass through one point. The point of intersection is the incenter of the triangle.



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References and Credits



National Council of Teachers of Mathematics Illuminating a New Vision for School Mathematics MarcoPolo Education Foundation
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This page last updated: August 7, 2003


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