Identifying Points of Concurrency

Front

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

Back

vertices

Front

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

Back

sides

Front

What is the point of concurrency that is the intersection of the three medians of a triangle?

Back

centroid

Front

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

Back

incenter

Front

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

Back

circumcenter

Front

In triangle ABC, if the circumcenter is point P, what can be said about the distances from P to each vertex?

Back

They are all equal.

Front

In triangle JKL, if point P is the incenter, what can be said about the distances from P to each side?

Back

They are all equal.

Front

If the circumcenter of a triangle is located outside the triangle, what type of triangle is it?

Back

Obtuse triangle

Front

If the incenter of a triangle is located inside the triangle, what can be said about the triangle?

Back

It is always true for all triangles.

Front

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

Back

The centroid divides each median into a ratio of 2:1.