Centers of Triangles

Front

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

Back

Incenter

Front

What type of triangle center is formed by the intersection of the perpendicular bisectors of the sides?

Back

Circumcenter

Front

What is the term for a line segment that connects the midpoints of two sides of a triangle?

Back

Midsegment

Front

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

Back

Centroid

Front

What is the term for a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

Back

Median

Front

What is the circumradius of a triangle?

Back

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

Front

What is the relationship between the inradius and the area of a triangle?

Back

The inradius is the radius of the incircle, and it can be calculated using the area (A) and the semi-perimeter (s) of the triangle: r = A/s.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass and divides each median into a ratio of 2:1.

Front

What is the circumcircle of a triangle?

Back

The circle that passes through all three vertices of the triangle.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle.