Points of Concurrency in a Triangle

Front

What is the point of concurrency where the three medians of a triangle intersect?

Back

Centroid

Front

What is the ratio in which the centroid divides each median?

Back

2:1

Front

What is the point of concurrency that is equidistant from the three vertices of a triangle?

Back

Circumcenter

Front

What is the point of concurrency where the angle bisectors of a triangle intersect?

Back

Incenter

Front

What is the point of concurrency where the altitudes of a triangle intersect?

Back

Orthocenter

Front

What is the definition of the centroid in a triangle?

Back

The centroid is the point where the three medians intersect, and it is the center of mass of the triangle.

Front

How many points of concurrency are there in a triangle?

Back

There are three main points of concurrency: centroid, circumcenter, and orthocenter.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all sides.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect.