Centroid, Incenter, Circumcenter, Orthocenter

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 is the circumcenter of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

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

Front

What segments are drawn to find the orthocenter?

Back

Altitudes are drawn to find the orthocenter.

Front

What segments are drawn to find the circumcenter?

Back

Perpendicular bisectors are drawn to find the circumcenter.

Front

What segments are drawn to find the centroid?

Back

Medians are drawn to find the centroid.

Front

What segments are drawn to find the incenter?

Back

Angle bisectors are drawn to find the incenter.

Front

How many points of concurrency are there in a triangle?

Back

There are four points of concurrency in a triangle: centroid, circumcenter, incenter, and orthocenter.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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