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Understanding Reflections and Lines of Symmetry in Geometry

This resource provides a comprehensive overview of geometric reflections across the x-axis, y-axis, and the line y = x, including instructions on how to change the signs of coordinates. It offers insights into identifying lines of symmetry in various shapes and polygons, helping students grasp the concepts through clear examples. Additionally, the Classwork Reflections by Hand Worksheet reinforces learning with practical exercises. Ideal for students exploring the fundamentals of geometry, this guide enhances understanding of symmetry and reflection in two-dimensional spaces.

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Understanding Reflections and Lines of Symmetry in Geometry

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  1. Reflections

  2. Reflect across the x-axis Change the sign of the y-value

  3. Reflect across the x-axis

  4. Reflect across the y-axis Change the sign of the x-value

  5. Reflect across the y-axis

  6. Reflect across y = x Swap x and y

  7. Reflect across y = x

  8. Reflect across y = -x Swap and change both signs

  9. Reflect across y = -x

  10. Lines of Symmetry • How many lines of symmetry does the polygon have? 3

  11. Lines of Symmetry • How many lines of symmetry does the shape have? 2

  12. Lines of Symmetry • How many lines of symmetry does the shape have? 5

  13. ClassworkReflections by Hand Worksheet

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