Circumcenter Investigation

Directions:

Use the construction below to investigate the circumcenter of a triangle and answer the questions below.

Construction file:

Questions:

1. What is the name of the 3 lines constructed above which intersect at the circumcenter?

Tick your answer here

2. What is special about the circumcenter and the vertices of triangle ABC?

3. What is the location of the circumcenter compared to the triangle, when the triangle is acute?

4. What is the location of the circumcenter compared to the triangle, when the triangle is obtuse?

5. What is the location of the circumcenter compared to the triangle, when the triangle is right?