It can be concluded then that all three perpendicular bisectors, FD, FE, and FG, are concurrent at point F because point F is equidistant from all three vertices of the triangle. This point is also called the circumcenter because it is the center of the circle that circumscribes the triangle.

Do perpendicular bisectors always intersect?

The three perpendicular bisectors all intersect at the same point, called the circumcenter. Circumcenter: The point of concurrency for the perpendicular bisectors of the sides of a triangle.

What makes an intersecting line a perpendicular bisector?

A perpendicular bisector can be defined as a line segment which bisects another line segment at 90 degrees. In other words, a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.