Circumcenter and Circumcircle Construction of a Triangle

This GeoGebra example demonstrates the dynamic construction of a triangle's circumcenter as the intersection of the perpendicular bisectors of its sides, followed by drawing the circumcircle centered at that point and passing through all three vertices. Core mathematical concepts include the circumcenter, circumcircle, perpendicular bisector theorem, and the property that the circumcenter is equidistant from the triangle's vertices. The construction uses GeoGebra commands Segment to build triangle sides, Polygon to create the triangle poly1, LineBisector to construct perpendicular bisectors of the sides, and Intersect to locate the circumcenter D; a circle c is then drawn with center D and radius DA. Relevant objects include points A, B, C, segments, lines, and the resulting circle. Suitable for middle school geometry instruction and high school review of triangle centers, supporting classroom demonstration and student inquiry into circumcenter properties and circumcircle construction.