Isometries: Transformations Preserving Distances in the Plane

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Delves into modern geometry, covering transformations, isometries, and symmetries.

Explores the concept of symmetry in various geometric transformations.

Discusses isometries and orthonormal bases in mathematics.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Introduces central symmetry, an isometry fixing a point and transforming other points.

Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.

Covers the preservation of isometry by rotations and symmetries.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Explores linear transformations, matrices, and their properties, including surjectivity, injectivity, and symmetry operations.

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.