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Today, digital tools externalize this imagination. They serve as a prosthetic for the mind's eye. When a student explores transformations—translations, rotations, reflections, and dilations—on the site, they are visualizing functions in a way that algebraic notation alone cannot convey. They can see the "ghost" of the original shape and the trajectory of its movement. This visual feedback loop accelerates the transition from concrete operational thinking to abstract reasoning. geometry-lessons.github.io