Geometric Construction of Complementary Angles (90°)

This example demonstrates how to construct and visualize complementary angles—two angles whose sum is 90°—and how their geometric positions correspond under transformations. The main mathematical ideas include angle measurement, the criterion for complementary (co-right) angles, and supporting trigonometric interpretation (e.g., quantities related to sin and cos) through geometric visualization. Construction-wise, it uses GeoGebra commands such as Circle to create reference circles, Intersect to compute intersection points, Rotate and Mirror to obtain complementary configurations via rotational and reflective transformations, Segment and Polygon to build and connect the necessary geometric structures, and Angle to measure and label the resulting angle values. The scene is organized around multiple points and angle objects (e.g., α, β and corresponding transformed points), enabling students to observe and verify the 90° relationship dynamically. Suitable for middle school geometry/trigonometry and for classroom demonstrations or exploratory learning.