Points of Concurrency

Front

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

Back

Centroid

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Orthocenter

Tags

CCSS.HSG.C.A.3

Front

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

Back

Incenter

Tags

CCSS.HSG.C.A.3

Front

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

Back

Circumcenter

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.C.A.3