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GeoGebraGeoGebra Classroom

Incenter

(1)   Draw a triangle. (2)   Draw the angle bisector for each angle. (3)   Draw the point of concurrency (INCENTER). a.       Drag around one of the vertices of the triangle.  Does the incenter ever leave the triangle?                                                      (4)   “Right click” on each angle bisector and uncheck “Show Object”. (5)   Select “Perpendicular Line” a.       Click on the INCENTER and then one side of the triangle. b.       Repeat for all three sides. c.       Draw the points of intersection where each side intersects its perpendicular line.  (Careful!) (6)   Select “Circle with Center through Point” a.       Select the INCENTER and one point from 5c. b.       Does the circle pass through all points from 5c?