1.05 Day 1 Exercises
Click on Steps 1, 2, and 3 in order to construct perpendicular bisectors of the three sides of the triangle below. This is called the circumcenter.
Use the triangle below to construct the angle bisectors of each angle in the triangle to locate the triangle's incenter. Scroll to the bottom to review how to constuct an angle bisector if needed.
State precisely the steps in your construction above.
Check your construction with the completed construction below.
Earlier in this lesson, we explained why the perpendicular bisectors of the sides of a triangle are always concurrent. Using similar reasoning, explain clearly why the angle bisectors are always concurrent at the incenter of a triangle.