Points of Concurrency in Triangles

Front

What is the point of concurrency that is the intersection of the medians of a triangle?

Back

Centroid

Front

What is the point of concurrency that is equidistant from the three sides of a triangle?

Back

Incenter

Front

Which point of concurrency serves as the center of gravity for a triangle?

Back

Centroid

Front

What is the point of concurrency formed by the intersection of the altitudes of a triangle?

Back

Orthocenter

Front

What is the point of concurrency that is the intersection of the perpendicular bisectors of a triangle?

Back

Circumcenter

Front

What is the definition of a centroid in a triangle?

Back

The centroid is the point where the three medians intersect, and it is also the center of mass of the triangle.

Front

What is the definition of an incenter in a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

What is the definition of an orthocenter in a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

What is the definition of a circumcenter in a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect, and it is equidistant from all three vertices.

Front

How can you find the centroid of a triangle given its vertices?

Back

The centroid can be found by averaging the x-coordinates and the y-coordinates of the vertices.