Perpendicular bisectors of a triangle
In the diagram below you see a triangle and the perpendicular bisectors of its three sides. What do you notice about the point of concurrency of them? Does this seem to always be true? Click and drag any of the three vertices to test your conjecture.
Is what you noticed dependent upon the type of triangle in the diagram? Summarize what you notice by filling in the missing blanks then putting it into your notes along with a picture. The point of concurrency of the Perpendicular Bisectors of a triangle is called the CIRCUMCENTER. It will be _________ an acute triangle. It will be _______ a right triangle. It will be ____________ an obtuse triangle.