Circumcenter, Incenter, centroid, orthocenter

Front

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

Back

Medians

Front

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15. If XP = 8, then PC = _______.

Back

4

Front

Which point is equidistant from the vertices?

Back

Circumcenter

Front

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

Back

PC

Front

The figure is an example of a(n) ...

Back

angle bisector

Front

What is the definition of a circumcenter?

Back

The circumcenter is the point where the perpendicular bisectors of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the definition of an incenter?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

What is the definition of a centroid?

Back

The centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.

Front

What is the definition of an orthocenter?

Back

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

Front

How do you find the circumradius of a triangle?

Back

The circumradius (R) can be found using the formula R = (abc)/(4K), where a, b, and c are the lengths of the sides and K is the area of the triangle.