Special segments, points of concurrency, and special properties

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

CF, BE, and AD are the medians of the triangle. If BF = 10, find AF.

Back

10

Front

Perpendicular lines ...

Back

intersect to form right angles.

Front

What is a median in a triangle?

Back

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

Front

What is the point of concurrency of the medians called?

Back

Centroid.

Front

How many medians does a triangle have?

Back

Three.

Front

What is the relationship between the centroid and the areas of the triangles formed by the medians?

Back

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

Front

What is the definition of a point of concurrency?

Back

A point where three or more lines intersect.

Front

What are the special properties of the centroid?

Back

It is the center of mass and balances the triangle.