1. The problem asks to identify the type of center represented by point M in a triangle. 2. The options are Circumcenter, Incenter, Centroid, and Orthocenter. 3. The graph shows a triangle with an inscribed circle touching all three sides. 4. The center of the inscribed circle is called the Incenter. 5. The Incenter is the point where the angle bisectors of the triangle intersect. 6. It is equidistant from all sides of the triangle, which is why the circle touches all sides. 7. Therefore, point M is the Incenter of the triangle. Final answer: Point M is the Incenter.