Points of Concurrency in Triangles

Flashcards on the points of concurrency in triangles, detailing their properties and relationships.

incenter

The point of concurrency of the angle bisectors of a triangle, always located inside the triangle.

centroid

The point of concurrency of the medians of a triangle; it is the center of gravity.

orthocenter

The point of concurrency of the altitudes of a triangle; it may lie outside the triangle in obtuse triangles.

circumcenter

The point of concurrency of the perpendicular bisectors of a triangle; equidistant from all vertices.

incenter and centroid

What point of concurrency is always inside the triangle?

orthocenter

What point of concurrency is always located on the vertex of a right triangle?

circumcenter

What point of concurrency is always on the midpoint of the hypotenuse in a right triangle?

circumcenter and orthocenter

What points of concurrency are always outside an obtuse triangle?

centroid

Which point of concurrency is considered the center of gravity in a triangle?

circumcenter

Which point of concurrency is equidistant from every vertex of the triangle?

centroid

What are the three medians of a triangle intersecting at?

incenter

What point of concurrency is equidistant from the three sides of the triangle?

centroid

What divides each median into two sections at a 2:1 ratio?

orthocenter

What point of concurrency is formed by the three altitudes of a triangle?

circumcenter

What point of concurrency is formed by the three perpendicular bisectors of a triangle?

incenter

What point of concurrency is formed by the three angle bisectors of a triangle?