Answer: Written Below
Step-by-step explanation: Definitions of each term:
A circumcenter of a triangle is the center of a unique circle that passes through all 3 vertices of the original triangle. You can find the circumcenter by drawing a circle that passes through all 3 vertices, and then finding its center.
The centroid of a triangle is the concurrent intersection of all the 3 medians of that triangle. A median is a line segment that starts at one vertices and ends at another edge by bisecting that edge to equal halves. What is interesting is that all three of these medians will always intersect at one point inside the triangle, called the centroid. You can find this point by drawing any two medians and locating its intersection.
The incenter of a triangle is the center of the largest possible circle that one can draw inside of the triangle. It is tangent to all sides of that triangle. Furthermore, the incenter is also the concurrent intersection of all the angle bisectors of the triangle. An angle bisector originates at a vertex and ends at the opposite edge, and bisects the angle that it originates from in equal halves. You can draw two angle bisectors and label its intersection for the inradius.