Points of Concurrency

Front

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

Back

Incenter

Front

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

Back

Centroid

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides intersect.

Front

What is the orthocenter of a triangle?

Back

The point where the altitudes of the triangle intersect.

Front

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

Back

The circumcenter is equidistant from the vertices of the triangle.

Front

What type of triangle has its orthocenter located outside the triangle?

Back

Obtuse triangle

Front

What is the centroid of a triangle?

Back

The point where the three medians intersect, and it divides each median into a 2:1 ratio.

Front

In which type of triangle is the incenter also the centroid and circumcenter?

Back

Equilateral triangle

Front

What is the significance of the circumradius?

Back

The radius of the circumcircle, which passes through all the vertices of the triangle.

Front

What is the relationship between the incenter and the sides of a triangle?

Back

The incenter is equidistant from all three sides of the triangle.