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

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Medians

Tags

CCSS.HSG.CO.C.10

Front

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

Back

10

Tags

CCSS.HSG.CO.C.10

Front

Perpendicular lines ...

Back

intersect to form right angles.

Tags

CCSS.HSG.CO.A.1

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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.CO.C.10

Front

What is the definition of a point of concurrency?

Back

A point where three or more lines intersect.

Tags

CCSS.HSG.C.A.3

Front

What are the special properties of the centroid?

Back

It is the center of mass and balances the triangle.

Tags

CCSS.HSG.C.A.3