In geometry, "Points of Concurrency" refer to specific points where three or more lines intersect. These lines can be altitudes, medians, angle bisectors, or perpendicular bisectors of a triangle. Each type of line has its own unique point of concurrency, such as the orthocenter for altitudes, the centroid for medians, and the circumcenter for perpendicular bisectors. Understanding points of concurrency is essential in triangle geometry as they help in various constructions and proofs. For example, the incenter is the point where the angle bisectors meet, and it is crucial for inscribing a circle within a triangle. Each point of concurrency has distinct properties that are useful in solving geometric problems.