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Geometric transformations include rotation (angle), scale (dilation), translation (dx, dy), and reflection (mirror). Composition of transformations creates complex patterns. Fractals are self-similar shapes with fractional dimension.
Geometry is the branch of mathematics that studies the size, shape, and position of figures in space, forming the logical foundation of much of mathematics and providing the practical tools of engineering, design, and physics. This explorer provides a dynamic geometry environment where you drag points, construct perpendicular bisectors and circumscribed circles, and verify classical theorems—like the angle sum of a triangle or the Pythagorean theorem—by measurement rather than memorization. Every theorem you encounter becomes a geometric fact you can test, stretch, and confirm yourself.
Euclidean geometry · geometric constructions · Pythagorean theorem · triangle centers · circle theorems · proofs
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