# Activity A: Perpendicular Bisectors

- Author:
- Alaina Pirrello, canhalt_1

All three

**perpendicular bisectors**of the sides of a triangle will intersect at the same point - the**circumcenter**. Let the circumcenter be point C in your diagram.## Exploration Questions

1) Do all of the perpendicular bisectors meet at a single point?
(

*Drag the vertices of the triangle to create a variety of triangles to check if this is always true*) 2) Will the**circumcenter**always be located inside of the triangle? Why or why not? 3) What can you conclude about the location of the**circumcenter**based on the type of triangle? 4) The circumcenter is the center of the circle that**circumscribes**the triangle. What does it mean for a triangle to be**circumscribed**in a circle? 5) How would you describe, in words, the length of the radius of the circle that the triangle is**circumscribed**in?