Constructing angle bisectors

1. Construct the angle bisector of each angle by selecting the angle bisector tool and the three points of the angle to bisect.
2. Place a point at thier point of intersection.
3. Construct a line that is perpendicular to one of the sides through the point of intersection of the angle bisectors.
4. Place a point where the perpendicular intersects the side.
5. Construct the circle with the center is the point of intersection of the angle bisectors through the point of intersection of the perpendicular and the side.

Drag the points of the original triangle around to notice relationships in the construction. Answer the questions on the corresponding worksheet.

Brad McDaniel, Created with GeoGebra