# Lessons 5.2 - 5.4: Points of Concurrency OLD VERSION

- Author:
- Jedi Algebron

## Circumcenter

Using the app, explore what happens to the circumcenter when the vertices of the triangle are moved. Answer the following questions:
1) What happens to the triangle when the circumcenter is inside the triangle?
2) What happens to the triangle when the circumcenter is outside the triangle?
3) What happens to the triangle when the circumcenter is on a side of the triangle?

## Incenter

Using the app, explore what happens to the incenter when the vertices of the triangle are moved. Answer the following questions:
1) How is the incenter constructed?
2) Where can the incenter be?
3) Are there circumstances in which the incenter and circumcenter are the same? Describe them?
4) What is the relationship between the incenter and the inscribed circle?
5) What is the relationship between the incenter and the circumscribed circle?