Construction 02: Bisections of Segments and Angles

This GeoGebra example demonstrates the step-by-step construction of bisecting both a segment and an angle using classic geometric tools. It visually shows how to find the midpoint of a segment and the angle bisector, highlighting properties of perpendicular bisectors, symmetry, and congruent parts. Core concepts include segment bisection, angle bisection, kite properties, similar triangles, and secant lines. The construction uses commands such as Segment and Angle, with objects A, B, f, C, D, E, α, g, h, likely involving auxiliary lines and intersection points to achieve precise bisection. Suitable for middle school to high school students learning geometric constructions, and useful for teachers demonstrating rigorous Euclidean construction methods. The example reinforces understanding of why bisectors are unique and how they relate to other geometric figures.