Discover properties of angle bisectors

Part 1[br]1. BD is an angle bisector of angle ABC. Drag point C around. Write a definition for angle bisector based on your observations.[br]2. Drag points A and B around. Does your definition from #1 hold true?[br]3. Click: Show segments from angle bisector[br]4. Drag point D, what can you conclude about points on the angle bisector?[br][br]Part 2[br]5. Click: Show Segment AC and Show 2nd Angle Bisector[br]6. Are the properties you found of angle bisector Line BD also true of angle bisector Line CG?[br][br]Part 3[br]7. Click: Show 3rd Angle Bisector[br]8. What do you notice about the 3 angle bisectors?[br]9. Drag the 3 vertices of the triangle (A, B and C). Do the angle bisectors always intersect? Do they ever intersect outside of the triangle?[br]10. Drag points D and G to the intersection of the 3 angle bisectors. What do you notice about the 3 segments perpendicular to the sides of the triangle? [br][br]Write a conclusion about what you learned through this lab.