What is a perpendicular bisector?
Equidistant means the same distance from something, such as a point.
What is the perpendicular bisector theorem?
How can you change this to become the Converse of the Perpendicular Bisector Theorem?
(Just change it around....)
Now let's discuss what a point of concurrency is.
What happens when a perpendicular bisector is placed on all three sides of a triangle?
Here is another drawing if it will help to see it a different way: