Isometries: Final Panorama

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Isometries & Orientation: Modern Symmetry

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Symmetry in Modern Geometry

Covers symmetry in modern geometry, reflections, translations, rotations, compositions of isometries, fundamental theorems, configurations of lines and planes, and surface analysis.

Isometries in Space: Orientation & Reflections

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Geometric Transformations in the Plane: Examples

Explores geometric transformations in the plane through rotation and reflection examples, emphasizing analytical formulas and characteristic elements.

Geometric Rotations in 2D

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

Geometric Transformations in the Plane: Orientation

Covers the concept of orientation in the plane and transformations using matrices.

Geometric Transformations Compositions

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Homotheties and Translations

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

Symmetries in Plane Geometry

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

Scalar Products in 2D and 3D Geometry

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