Points of Concurrencies

Front

The circumcenter is _________________ in the triangle.

Back

sometimes

Front

What is the point of concurrency shown?

Back

orthocenter

Front

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

Back

8

Front

Point P is the circumcenter, which segment is equal to PB?

Back

PC

Front

D is the circumcenter, find DG.

Back

19

Front

Define circumcenter.

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

Define centroid.

Back

The centroid is the point where the three medians of a triangle intersect.

Front

Define incenter.

Back

The incenter is the point where the angle bisectors of a triangle intersect.

Front

Define orthocenter.

Back

The orthocenter is the point where the altitudes of a triangle intersect.

Front

What is the relationship between the circumcenter and the vertices of the triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle.