6.1-6.3, Points of Concurrency

Front

What is the point of concurrency where the altitudes of a triangle intersect?

Back

Orthocenter

Front

What is the point of concurrency where the angle bisectors of a triangle intersect?

Back

Incenter

Front

What is the point of concurrency where the perpendicular bisectors of a triangle intersect?

Back

Circumcenter

Front

What is the point of concurrency where the medians of a triangle intersect?

Back

Centroid

Front

If G is the centroid of triangle ABC and GF = 4, what is the length of GC?

Back

8

Front

What type of segments are drawn from the incenter of a triangle?

Back

Angle bisectors

Front

What is the relationship between the centroid and the lengths of the segments it creates?

Back

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

Front

What is the definition of 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 definition of an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the definition of an angle bisector in a triangle?

Back

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