Circumcenter, Incenter, centroid, orthocenter

Front

What is the Circumcenter of a triangle?

Back

The intersection point of the three perpendicular bisectors of a triangle.

Tags

CCSS.HSG.C.A.3

Front

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

Back

8

Tags

CCSS.HSG.CO.C.10

Front

Identify the Point of Concurrency that is the intersection of the three perpendicular bisectors.

Back

Circumcenter

Tags

CCSS.HSG.C.A.3

Front

Where do the altitudes of an obtuse triangle meet?

Back

Outside the triangle.

Tags

CCSS.HSG.CO.C.10

Front

If CF, BE, and AD are the medians of the triangle and BF = 10, what is AF?

Back

10

Tags

CCSS.HSG.CO.C.10

Front

What is the Incenter of a triangle?

Back

The point where the three angle bisectors of a triangle intersect.

Tags

CCSS.HSG.C.A.3

Front

What is the Centroid of a triangle?

Back

The point where the three medians of a triangle intersect.

Tags

CCSS.HSG.CO.C.10

Front

What is the Orthocenter of a triangle?

Back

The point where the three altitudes of a triangle intersect.

Tags

CCSS.HSG.CO.C.10

Front

In a triangle, how many points of concurrency are there?

Back

There are four: Circumcenter, Incenter, Centroid, and Orthocenter.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the centroid and the lengths of the medians?

Back

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

Tags

CCSS.HSG.CO.C.10