points of concurrency

Front

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

Back

Incenter

Front

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

Back

Circumcenter

Front

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

Back

Centroid

Front

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

Back

Orthocenter

Front

What is the definition of the circumcenter?

Back

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

Front

What is the definition of the incenter?

Back

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

Front

What is the definition of the centroid?

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

What is the definition of the orthocenter?

Back

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

Front

How do you find the circumcenter of a triangle?

Back

To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.

Front

How do you find the incenter of a triangle?

Back

To find the incenter, construct the angle bisectors of at least two angles of the triangle; their intersection is the incenter.