Points of Concurrency

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 perpendicular bisectors of the sides of a triangle intersect?

Back

Circumcenter

Front

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

Back

Centroid

Front

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

Back

Orthocenter

Front

Define the circumcenter of a triangle.

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle meet, and it is equidistant from all three vertices.

Front

Define the incenter of a triangle.

Back

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

Front

Define the centroid of a triangle.

Back

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

Front

Define the orthocenter of a triangle.

Back

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

Front

What is the relationship between the circumcenter and the circumradius?

Back

The circumcenter is the center of the circumcircle, and the circumradius is the radius of that circle.

Front

What is the relationship between the incenter and the inradius?

Back

The incenter is the center of the incircle, and the inradius is the radius of that circle.