Points of Concurrencies

Front

What are the two points of concurrency that always fall inside a triangle?

Back

Centroid and Incenter.

Front

Name the point of concurrency where the three altitudes of a triangle intersect.

Back

Orthocenter.

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Front

If point P is the circumcenter, which segment is equal to PB?

Back

PC.

Front

What is the centroid of a triangle?

Back

The point where the three medians intersect.

Front

If X is the centroid of the triangle and AZ = 24, what is AX?

Back

16.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect.

Front

What is the relationship between the circumcenter and the vertices of the triangle?

Back

The circumcenter is equidistant from all three vertices.

Front

What is the median of a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

How many points of concurrency are there in a triangle?

Back

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