A perpenticular bisector of a triangle passes through the midpoint of a side of the triangle.

The angle bisector of a triangle intersect in a single point.

The angle bisector of a triangle meet at a point outside the triangle.

The circumcenter of a triangle lies outside the triangle.

The centroid is inside the triangle.

The centroid is outside the triangle.

The circumcircle passes through all three vertices.

An altitude of a triangle passes through the midpoint of a side of the triangle.

The circumcenter, incenter, and centroid of an equilateral triangle are all the same point.