Centers of Triangles

Front

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

Back

one third

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

Front

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

Back

Circumcenter

Front

Given D is the centroid and ZD = 6 and AD = 18, find AO.

Back

27

Front

What is the circumcenter of a triangle?

Back

The point where the three perpendicular bisectors of a triangle intersect.

Front

What is the incenter of a triangle?

Back

The point where the three angle bisectors of a triangle intersect.

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes of a triangle intersect.

Front

What is a median in a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

How many medians does a triangle have?

Back

Three medians, one from each vertex.

Front

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

Back

The centroid divides each median into a ratio of 2:1.