points of concurrency-triangles

Front

What is the point of concurrency where the angle bisectors of a triangle intersect?

Back

Incenter

Front

What is the point of concurrency where the perpendicular bisectors of a triangle intersect?

Back

Circumcenter

Front

What is the point of concurrency where the medians of a triangle intersect?

Back

Centroid

Front

What is the point of concurrency where the altitudes of a triangle intersect?

Back

Orthocenter

Front

The incenter of a triangle is equidistant from which part of the triangle?

Back

Sides

Front

When you draw the perpendicular bisectors of a triangle, what point of concurrency do you create?

Back

Circumcenter

Front

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

Back

The circumcenter is equidistant from all three vertices.

Front

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

Back

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

Front

What is the significance of the orthocenter in a triangle?

Back

The orthocenter is the point where the altitudes intersect.

Front

How can you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of the sides.