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.

Front

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

Back

Orthocenter.

Front

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

Back

Incenter.

Front

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

Back

Centroid.

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

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.

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.