Triangle Centers FHS

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

What segments are drawn to find the centroid?

Back

Medians are drawn from each vertex to the midpoint of the opposite side.

Front

What is the circumcenter of a triangle?

Back

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

Front

Where is the circumcenter located in an acute triangle?

Back

The circumcenter is located inside the triangle.

Front

Where is the circumcenter located in a right triangle?

Back

The circumcenter is located at the midpoint of the hypotenuse.

Front

Where is the circumcenter located in an obtuse triangle?

Back

The circumcenter is located outside the triangle.

Front

What is the incenter of a triangle?

Back

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

Front

What segments are drawn to find the incenter?

Back

Angle bisectors are drawn from each vertex to the opposite side.

Front

What is the relationship between the incenter and the sides of the triangle?

Back

The incenter is equidistant from all three sides of the triangle.

Front

What is the orthocenter of a triangle?

Back

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