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Understanding Transformations: Glide Reflections and Odd Functions**

DESCRIPTION

This guide explores glide reflections, translations, and reflections in transformations. It illustrates how to determine images after glide reflections using specific points and coordinates. Additionally, it discusses the properties of odd functions and how to identify corresponding points. With clear examples, you will learn the importance of the order of transformations and practice finding transformed coordinates. Suitable for students seeking to master the concepts of geometric transformations and their applications in mathematics.

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Understanding Transformations: Glide Reflections and Odd Functions**

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  1. Warm up • Rotate P(-4, -4) 180 • Rotate Q(-1, -3) 90 CCW • If a function is odd and one point on it is R(-3, 4). Name another point. • If a function is odd and one point on it is S(9, -10). Name another point.

  2. Glide Reflections Translation, then Reflection (Combos)

  3. Glide Reflections • Combining a translation with a reflection. • Pay attention to the order!!

  4. 1. Finding the Image of a Glide Reflection Use the information below to sketch the image of QRS after a glide reflection. Q(2, –3), R(4, –4), and S(5, –1) Q’’(-2, 2), R’’(-4, 1), & S’’(-5, 4)

  5. 2. Finding the Image of a Glide Reflection A’(–6, 2) Perform the Glide Reflection on A(–3, 5). A’’(2, –6)

  6. 3. Finding the Image of a Glide Reflection Perform the Glide Reflection on F(-4, 2), G(1, 4), H(3, 0), I(-1, -2) F’(-4, -2), G’(1, -4) H’(3, 0), I’(-1, 2) F’’(-2, –3), G’’(3, –5) H’’(5, -1), I’’(1, 1)

  7. Class Work Combinations of Transformations Practice WS

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