Points of Concurrency

Front

What is the point of concurrency created by the intersection of the medians of a triangle?

Back

Centroid

Front

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

Back

Incenter

Front

What is the name of the line segment that bisects a side of a triangle and is perpendicular to that side?

Back

Perpendicular bisector

Front

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

Back

Orthocenter

Front

What is the point of concurrency where the three perpendicular bisectors of a triangle meet?

Back

Circumcenter

Front

What is the relationship between the centroid and the vertices of a triangle?

Back

The centroid divides each median into a ratio of 2:1.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the center of the circle inscribed within the triangle.

Front

How many points of concurrency are there in a triangle?

Back

There are four main points of concurrency: centroid, incenter, 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 orthocenter of a triangle?

Back

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