Bisectors in Triangles

Front

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

Back

Incenter

Front

Which point of concurrency is equidistant from every vertex of a triangle?

Back

Circumcenter

Front

Which point of concurrency is equidistant from every side of a triangle?

Back

Incenter

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Front

What is the centroid of a triangle?

Back

The point where the three medians intersect.

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes intersect.

Front

The circumcenter of a triangle is equidistant from which points?

Back

Vertices of the triangle.

Front

The incenter of a triangle is equidistant from which parts?

Back

The 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.

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.