Points of Concurrency Review and Practice

Front

What is the Circumcenter of a triangle?

Back

The Circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.

Front

What is the Incenter of a triangle?

Back

The Incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

Front

What is the Centroid of a triangle?

Back

The Centroid is the point where the medians of a triangle intersect. It is the center of mass and divides each median into a 2:1 ratio.

Front

What is the Orthocenter of a triangle?

Back

The Orthocenter is the point where the altitudes of a triangle intersect. Its position varies depending on the type of triangle (acute, right, or obtuse).

Front

What are Altitudes in a triangle?

Back

Altitudes are perpendicular segments from a vertex to the line containing the opposite side.

Front

What are Medians in a triangle?

Back

Medians are segments that connect a vertex of a triangle to the midpoint of the opposite side.

Front

What are Perpendicular Bisectors in a triangle?

Back

Perpendicular Bisectors are lines that are perpendicular to a side of the triangle and pass through its midpoint.

Front

What are Angle Bisectors in a triangle?

Back

Angle Bisectors are segments that divide an angle into two equal angles.

Front

How many points of concurrency are there in a triangle?

Back

There are four main points of concurrency in a triangle: Circumcenter, Incenter, Centroid, and Orthocenter.

Front

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

Back

The Circumcenter is equidistant from all three vertices of the triangle.