Triangle Centers: Circumcenter, Incenter, Orthocenter, Centroid

① This example demonstrates the construction and relative positions of the four classic triangle centers: circumcenter, incenter, orthocenter, and centroid. ② Core mathematical concepts include the circumcircle, incircle, altitudes, medians, angle bisectors, and centroid properties. ③ Construction highlights: Polygon creates the triangle; LineBisector and AngularBisector draw perpendicular bisectors and angle bisectors; OrthogonalLine draws altitudes; Midpoint finds midpoints; Intersect locates intersection points; Line connects relevant points to obtain the four centers. ④ Suitable for middle‑school geometry lessons on triangle centers, high‑school analytic geometry review, and geometric construction demonstrations.