Compositions of Isometries: Reflections and Glide Reflections

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Explore the world of isometries with reflections across parallel and intersecting lines, as well as glide reflections combining translation and reflection. Solve problems involving composing these transformations to understand their effects on shapes and figures.

  • Isometries
  • Reflections
  • Glide Reflections
  • Transformations
  • Geometry

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Presentation Transcript


  1. 9-4 Compositions of Isometries

  2. Isometry: a transformation that preserves distance or length (translations, reflections, rotations) There are 4 kinds of isometries

  3. Reflections Across Parallel Lines

  4. Problem 1: Composing Reflections Across Parallel Lines

  5. Reflections Across Intersecting Lines

  6. Problem 2: Composing Reflections Across Intersecting Lines

  7. Glide Reflection: is the composition of a translation (a glide) and a reflection across a line parallel to the direction of translation.

  8. Problem 3: Finding a Glide Reflection E T X

  9. E T X

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