5.3 Task - Circumcenter & Incenter

This GeoGebra example demonstrates the construction and properties of the circumcenter and incenter of a triangle. The circumcenter is the intersection of the perpendicular bisectors of the sides and is the center of the circumcircle, while the incenter is the intersection of the angle bisectors and is the center of the incircle. The construction typically involves using tools like midpoint, perpendicular line, angle bisector, or direct GeoGebra commands such as Circumcenter and Incenter, followed by drawing the circumcircle and incircle. It is suitable for middle or high school geometry classes to explore how the positions of these centers change for acute, right, and obtuse triangles, reinforcing concepts of triangle centers, geometric construction, and dynamic geometry.