Points of Concurrency

Front

What is the circumcenter of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point of concurrency where the altitudes of a triangle intersect. Its location varies depending on the type of triangle.

Front

Where is the orthocenter located in an acute triangle?

Back

The orthocenter of an acute triangle is located inside the triangle.

Front

Where is the orthocenter located in a right triangle?

Back

The orthocenter of a right triangle is located at the vertex of the right angle.

Front

Where is the orthocenter located in an obtuse triangle?

Back

The orthocenter of an obtuse triangle is located outside the triangle.

Front

What is the centroid of a triangle?

Back

The centroid is the point of concurrency where the medians of a triangle intersect. It is the center of mass and is located inside the triangle.

Front

What are the medians of a triangle?

Back

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

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

Front

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is the circle that is tangent to all three sides of the triangle.