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Exploring Rigid Translations in Geometry

Learn about translations, moving figures while preserving size and shape. Perform translations through examples and reflection composition techniques. Visit link for detailed explanations.

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Exploring Rigid Translations in Geometry

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  1. 9-2 TranslationsWARM UP

  2. UNIT 1 – Rigid Transformations 9-2 Translations

  3. 9-2 Translations • Translations – Moves all points of a figure the same distance in the same direction. • Keeps its same size, shape, and orientation. • For every point P(x,y) a translation moves it to P‘(x+a, y+b).

  4. 9-2 Translations

  5. 9-2 Translations

  6. 9-2 Translations • Example: Translate rectangle PQRS 5 units to the right and 4 units down P(-3, 5) Q(-4, 2) R(3, 0) S(4, 3)

  7. 9-2 Translations • Translations by repeated reflections: • Perform a reflection in one line. • Reflect the image in a 2nd║ line. • Result is a translation of the original preimage. • “Composition of Reflections”.

  8. 9-2 Translations • https://www.khanacademy.org/math/geometry/transformations/exploring-rigid-transformations/e/translations_of_points_and_polygons

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