Points of Concurrency

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 can be inside, on, or outside the triangle depending on the type of triangle.

Front

What is the centroid of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is always located inside the triangle and is the center of the inscribed circle.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect. Its position can be inside, on, or outside the triangle depending on the type of triangle.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an altitude in a triangle?

Back

An altitude is a line segment from a vertex to the opposite side, forming a right angle with that side.

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

How many points of concurrency are there in a triangle?

Back

There are four main points of concurrency in a triangle: the centroid, circumcenter, incenter, and orthocenter.

Front

What type of triangle has its circumcenter outside the triangle?

Back

An obtuse triangle has its circumcenter located outside the triangle.

Front

What type of triangle has its orthocenter outside the triangle?

Back

An obtuse triangle has its orthocenter located outside the triangle.