Question

which point is the center of the inscribed circle of a triangle?
a) centroid
b) circumcenter
c) incenter
d) orthocenter

Explanation:

The in - center of a triangle is the point of intersection of the angle bisectors of the triangle. It is the center of the inscribed circle (incircle) of the triangle. The centroid is the point of intersection of the medians, the circum - center is the point of intersection of the perpendicular bisectors of the sides, and the ortho - center is the point of intersection of the altitudes.

Answer:

C. incenter