Geometric Transformations in the Plane: Examples

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Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Explores the normalization of the product of 4 plane reflections in space.

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Explores geometric transformations, symmetries, inversion, and isometries in plane geometry.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.