Circumcenter - 2019
- Rebecca Young
Follow the steps below to construct the circumcenter.
The point where all three perpendicular bisectors intersect is called the circumcenter. 1. Use to move point A, B or C so that the circumcenter is outside the triangle. What do you notice about the triangle?
2. Use to move point C so that the circumcenter lies on a side of the triangle. What do you notice about the triangle?
We are now going to learn about the properties of a circumcenter.
3. Use to move point A, B or C around. What do you notice about the dashed segment lengths?
4. You constructed the circle to go through point A. When you move the triangle, you should notice that the circle also always goes through B and C. Why is that?
Application for Circumcenter
5. For which of the following situations, would it make sense to find the circumcenter?