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Understanding Geometric Transformations: Translations, Reflections, Rotations, and Dilations

Explore the vocabulary, notations, and formulas related to transformations like translations, reflections, rotations, and dilations in geometry. Understand key concepts like pre-image, equation form, vector notation, reflections on various axes, center of rotation, composition of isometries, and scale factors for dilations. Dive into the world of glide reflections, rigid transformations, and enlargement/reduction concepts to enhance your geometric understanding.

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Understanding Geometric Transformations: Translations, Reflections, Rotations, and Dilations

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  1. Chapter 9Transformations

  2. 9.1 Translations Vocabulary • Image • Pre-Image • Equation Form • Vector or Function Form • “T” notation

  3. 9.2 Reflections Vocabulary • Line of reflection • Rigid Transformation • X – axis, Y- Axis, X = Y axis • “R” Notation

  4. 9.3 Rotation Vocabulary • Angle of Rotation • Center of Rotation • “r” Notation • Rotation formulas – 90 degrees, 180 degrees, 270 degrees.

  5. 9.4 Composition of Isometries Vocabulary • Glide reflections • Composition of reflections

  6. 9.6 Dilations Vocabulary • Scale factor • Enlargement or reduction • “D” notation

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