Comparing Geometric Transformations with Interactive Checks

This GeoGebra example demonstrates and visually compares geometric transformations by showing how a figure changes under a controlled transformation workflow. Students can observe correspondence between key points/edges before and after transformation, and how related quantities evolve. The core math concepts include geometric transformations (Transformation) and their invariants, trigonometric modeling using sine (Sine) to parameterize positions/angles, and—where applicable—verification through a hypothesis-testing style workflow. Construction-wise, it uses interactive buttons (button1–button6) and multiple text labels (text1–text8) to guide and annotate the comparison; a state object to switch steps or modes; point sets A–J (A, B, C, D, E, F, G, H, I, J) to represent key locations of the original and transformed figures; and two picture panes (pic1, pic2) to display the before/after views side by side. It is well-suited for secondary education and transformation-and-function integration lessons, as well as for exploratory learning where students validate transformation claims with visual evidence.