Final answer:
The circumcenter and incenter are special points associated with a triangle. The circumcenter is equidistant from the three vertices of a triangle, while the incenter is equidistant from the three sides of the triangle.
Step-by-step explanation:
The circumcenter and incenter are both special points associated with a triangle.
The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from the three vertices of the triangle.
The incenter is the point where the angle bisectors of the triangle intersect. It is equidistant from the three sides of the triangle.
So, both the circumcenter and incenter of a triangle are equidistant from certain points, but they are different in terms of what they are equidistant from.