Points of Concurrency

Front

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

Back

Circumcenter

Front

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

Back

Centroid

Front

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

Back

Incenter

Front

What type of special segments are used to find the orthocenter of a triangle?

Back

Altitudes

Front

What is the relationship between the incenter of a triangle and its sides?

Back

The incenter is equidistant from the sides of the triangle.

Front

What is the definition of a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the definition of a median in a triangle?

Back

A segment that connects a vertex to the midpoint of the opposite side.

Front

What is the definition of an altitude in a triangle?

Back

A segment from a vertex perpendicular to the line containing the opposite side.

Front

How many points of concurrency are there in a triangle?

Back

There are four points of concurrency: circumcenter, centroid, incenter, and orthocenter.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass and divides each median into a 2:1 ratio.