Activity A: Perpendicular Bisectors

All three [b]perpendicular bisectors[/b] of the sides of a triangle will intersect at the same point - the [b]circumcenter[/b].

[br][br]Let the circumcenter be point C in your diagram.
Exploration Questions
1) Do all of the perpendicular bisectors meet at a single point?[br] ([i]Drag the vertices of the triangle to create a variety of triangles to check if this is always true[/i])[br][br]2) Will the [b]circumcenter[/b] always be located inside of the triangle? Why or why not?[br][br]3) What can you conclude about the location of the [b]circumcenter[/b] based on the type of triangle?

[br][br]4) The circumcenter is the center of the circle that [b]circumscribes[/b] the triangle.

 What does it mean for a triangle to be [b]circumscribed[/b] in a circle?[br][br]5) How would you describe, in words, the length of the radius of the circle that the triangle is [b]circumscribed [/b]in?

Information: Activity A: Perpendicular Bisectors