Triangle Segments and Points of Concurrency

Front

What are the three main types of segments in a triangle?

Back

Altitudes, Medians, and Angle Bisectors.

Front

What is the definition of an altitude in a triangle?

Back

An altitude is a segment from a vertex to the opposite side that is perpendicular to that 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 definition of an angle bisector in a triangle?

Back

An angle bisector is a segment that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is the point of concurrency for the altitudes of a triangle called?

Back

Orthocenter.

Tags

CCSS.HSG.CO.C.10

Front

What is the point of concurrency for the angle bisectors of a triangle called?

Back

Incenter.

Tags

CCSS.HSG.C.A.3

Front

What is the point of concurrency for the medians of a triangle called?

Back

Centroid.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.CO.C.10

Front

What is the definition of the circumcenter in a triangle?

Back

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

Tags

CCSS.HSG.C.A.3

Front

What is the definition of the incenter in a triangle?

Back

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

Tags

CCSS.HSG.C.A.3