Incenter and Circumcenter

Front

What is the point of concurrency of the medians in a triangle?

Back

Centroid

Front

What is the special property of the circumcenter?

Back

The circumcenter is equally distant to the vertices of the triangle.

Front

What is the center of a triangle that is equidistant from all sides?

Back

Incenter

Front

What is the center of a triangle that is equidistant from all vertices?

Back

Circumcenter

Front

What point of concurrency is represented by the intersection of the medians?

Back

Centroid

Front

What is the definition of the incenter?

Back

The incenter is the point where the angle bisectors of a triangle intersect.

Front

What is the definition of the circumcenter?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

How can you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle.

Front

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is tangent to all sides of the triangle.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which passes through all vertices of the triangle.