Points of Concurrency Check

Front

The circumcenter of a triangle is equidistant from the _______ of the triangle.

Back

vertices

Front

If S is the incenter, what type of segments are drawn? (hint: compare ∠ACT and ∠BCT)

Back

angle bisectors

Front

The incenter of a triangle is equidistant from the __________ of a triangle.

Back

sides

Front

The figure is an example of a(n) ... (hint: the tick marks mean the side has been bisected.)

Back

median

Front

Name the point of concurrency shown. (hint: angles with matching arcs mean they are congruent.)

Back

Incenter

Front

What is the definition of a circumcenter?

Back

The point where the perpendicular bisectors of a triangle intersect.

Front

What is the definition of an incenter?

Back

The point where the angle bisectors of a triangle intersect.

Front

What is the definition of an orthocenter?

Back

The point where the altitudes of a triangle intersect.

Front

What is the definition of a centroid?

Back

The point where the medians of a 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.