Points of Concurrency Review

Front

What type of segments are drawn if Z is the centroid of a triangle?

Back

Medians

Front

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

Back

8

Front

What is the length of BG if P is the incenter and BG is given as an option?

Back

16

Front

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

Back

10

Front

Define: CIRCUMCENTER OF A TRIANGLE

Back

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

Front

What is the relationship between the centroid and the medians of a triangle?

Back

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

Front

What is the definition of an incenter in a triangle?

Back

The point where the angle bisectors of a triangle intersect.

Front

How many points of concurrency are there in a triangle?

Back

Three: centroid, incenter, and circumcenter.

Front

What is the circumradius of a triangle?

Back

The radius of the circumcircle, which passes through all three vertices of the triangle.

Front

What is the significance of the orthocenter in a triangle?

Back

The point where the three altitudes of a triangle intersect.