Centers of Triangles

Front

What is the point called where the three altitudes of a triangle intersect?

Back

Orthocenter

Front

What is the point called where the three medians of a triangle intersect?

Back

Centroid

Front

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

Back

Incenter

Front

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

Back

Circumcenter

Front

Which segment represents an altitude in a triangle?

Back

An altitude is a segment from a vertex perpendicular to the opposite side.

Front

What is the definition of a median in a triangle?

Back

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

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

How many centers of a triangle are there?

Back

There are four main centers: Centroid, Circumcenter, Incenter, and Orthocenter.

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.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the triangle's incircle.