Centers of Triangles

Front

A circumcenter is the point at which three _____________ intersect in a triangle.

Back

Perpendicular Bisectors

Front

A orthocenter is the point at which three _____________ intersect in a triangle.

Back

Altitudes

Front

What is the circumcenter of a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

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

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of the triangle intersect.

Front

What is the incenter of a triangle?

Back

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

Front

How many centers can be found in a triangle?

Back

There are four main centers: circumcenter, orthocenter, centroid, and incenter.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.