Points of Concurrency

Front

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

Back

Centroid

Front

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

Back

Orthocenter

Front

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

Back

Incenter

Front

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

Back

Circumcenter

Front

Define a median in a triangle.

Back

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

Front

Define an altitude in a triangle.

Back

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

Front

Define an angle bisector in a triangle.

Back

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

Front

Define a perpendicular bisector in a triangle.

Back

A perpendicular bisector is a line that is perpendicular to a segment at its midpoint.

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 significance of the circumcenter in a triangle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.