Circumcenter, Incenter, centroid, orthocenter

Front

Define: CIRCUMCENTER OF A TRIANGLE

Back

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

Front

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

Back

PC

Front

Name the segment/line/ray shown in the picture.

Back

Altitude

Front

The centroid is the point of concurrency of the 3 ____ of a triangle.

Back

Medians

Front

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

Back

8

Front

Define: INCENTER OF A TRIANGLE

Back

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

Front

What is the relationship between the incenter and the triangle's incircle?

Back

The incenter is the center of the incircle, which is tangent to all three sides of the triangle.

Front

Define: CENTROID OF A TRIANGLE

Back

The point of concurrency of the three medians of a triangle.

Front

What is the centroid's property regarding the segments it creates?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

Define: ORTHOCENTER OF A TRIANGLE

Back

The point of concurrency of the three altitudes of a triangle.