As with the construction of segment bisectors, the construction of angle bisectors relies on the idea of using mathematical tools, such as a compass and straight edge, to mark equal distances.

Click on the image below to view an activity on angle bisectors. When you click on the link and the new page opens, click on the + symbol that is next to the word "Exploration" for detailed information and directions. Be sure to click on the "Why It Works" button when you have completed the sketch. When you have completed the exploration, close the window to return to the lesson.

Use your notes to answer the questions below.

1. How does the distance from the angle bisector to one ray of the angle compare to the distance from the angle bisector to the other ray? How do you know?
2. Why does the construction of an angle bisector using circles, as shown in the dynamic geometry sketch, work?
3. How could you use patty paper to fold the angle bisector of an angle that you drew on the patty paper?