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Understanding Reflections in Geometry: A Step-by-Step Guide

This guide explores the concept of reflections in geometry, specifically how to reflect points across the x-axis and y-axis. It details the rules for performing reflections, including how to change the signs of coordinates based on the reflection line. Through practice worksheets and examples, learners can understand how reflections maintain the size and shape of figures while transferring them across a central line. The guide also includes tasks where students can try reflecting points and labeling pre-image and image points.

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Understanding Reflections in Geometry: A Step-by-Step Guide

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  1. Warm up Translate (x – 9, y + 8) • B (-9, 12) • A (-12, -4) • T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11) 4. Write a rule to describe the transformation: Z (5, 1) E (10, -4) N (-2, 8)

  2. Review Homework

  3. Reflections

  4. Reflections A reflection is a FLIP over a line.

  5. Also a reflection has: The same DISTANCE from a central line. The same SIZE as the original image.

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

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

  8. Reflect across the x-axis

  9. Reflect across the y-axis

  10. You Try!Reflect over the x-axis

  11. You Try!Reflect over the y-axis

  12. Practice Reflections Worksheet

  13. More Reflections • Positive Diagonal Line • Negative Diagonal Line • Horizontal Line • Vertical Line

  14. Reflect across y = x Swap x and y

  15. Reflect across y = x

  16. Reflect across y = x

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

  18. Reflect across y = -x

  19. Reflect across y = -x

  20. Reflect across y = x

  21. Reflect across y = x

  22. Practice Reflections Worksheet

  23. Homework Reflections Worksheet *Write Points for the Pre Image & Image* DON’T FORGET TO LABEL

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