Answer:
a)
The point that is equidistant to all sides of a triangle is called the incenter.
The incenter is located at the intersection of bisectors of the interior angles of a triangle.
b)
The point that is equidistant to all vertices of a triangle is called the circumcenter.
The circumcenter is located at the intersection of perpendicular bisectors of the sides of a triangle.
c)
See the attachment
The blue lines and their intersection shows the incenter.
The red lines and their intersection shows the circumcenter.
As we see the red point- the circumcenter is closer to vertex B.
