Points of Concurrency

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 medians of a triangle intersect?

Back

Centroid

Tags

CCSS.HSG.CO.C.10

Front

What is the point of concurrency that is equidistant from all sides of a triangle?

Back

Incenter

Tags

CCSS.HSG.C.A.3

Front

Which point of concurrency is always located inside the triangle?

Back

Incenter and Centroid

Tags

CCSS.HSG.C.A.3

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass and divides each median into a ratio of 2:1.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the orthocenter and the type of triangle?

Back

The orthocenter can be inside, on, or outside the triangle depending on whether the triangle is acute, right, or obtuse.

Tags

CCSS.HSG.C.A.3

Front

How can you find the incenter of a triangle?

Back

The incenter can be found by constructing the angle bisectors of the triangle's angles.

Tags

CCSS.HSG.C.A.3

Front

What is the circumcenter of 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 relationship between the circumcenter and the triangle's circumcircle?

Back

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

Tags

CCSS.HSG.C.A.3

Front

What is the difference between the centroid and the orthocenter?

Back

The centroid is the intersection of the medians, while the orthocenter is the intersection of the altitudes.

Tags

CCSS.HSG.C.A.3