Centers of Triangles

Front

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

Back

Incenter

Front

What type of center is point M if it is the intersection of the angle bisectors?

Back

Incenter

Front

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

Back

Circumcenter

Front

If DL = 24, what is DG if the segments are in a ratio of 2:1?

Back

8

Front

The centroid divides each median into two segments. What fraction of the median is the shorter segment?

Back

One third

Front

What is the point of concurrency of the three medians of a triangle called?

Back

Centroid

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the angles intersect.

Front

What is the orthocenter of a triangle?

Back

The point where the altitudes of the triangle intersect.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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