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Reflections and Line Symmetry - Understanding and Examples

Learn about reflections and line symmetry in geometry. Discover how to perform reflections in the x and y axes and understand the concept of line symmetry in figures. Includes examples and practice exercises.

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Reflections and Line Symmetry - Understanding and Examples

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Presentation Transcript

  1. Do Now

  2. Section 9.3Perform Reflections

  3. Vocabulary • Reflection: transformation that uses a line like a mirror to reflect an image (flip an image over a line) • Line of reflection: the line that acts as a mirror

  4. Identify Reflections

  5. Reflection in the x axis Triangle DEF is the image of triangle ABC after a reflection in the x axis. Point A is 2 spaces away from the x axis, so Point D is 2 spaces away from the axis. A(-7, 2) B(-3, 2) C(-3, 4) D(-7, -2) E(-3, -2) F(-3, -4) Rule for reflection in the x axis: (x, y) → (x, -y)

  6. Reflection in the x axis Graph triangle ABC with vertices A(4, 2) B(5, 6) C(7, 3) Graph the image of triangle ABC after a reflection in the x axis and list the coordinates of the image.

  7. Reflection in the y axis Graph segment GE with vertices G(-3, 4) E(2, -1) Graph the image of segment GE after a reflection in the y axis and list the coordinates of the image. Rule for reflection in the y axis: (x, y) → (-x, y)

  8. Examples

  9. Practice

  10. Line Symmetry • Line of symmetry = line that divides a figure into two equal parts Example: How many lines can you draw through the heart to get equal parts?

  11. Line symmetry • Determine the number of lines of symmetry for the figure

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