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Do Now

Do Now. Draw a coordinate grid (like below) and label the axes Graph the point (2,1) Graph a point that is 3 units above and 4 units to the right of (2,1) Graph a point that is 2 units below and 1 unit to the left of (2,1) . 1.3 Transformations (Translations).

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Do Now

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  1. Do Now • Draw a coordinate grid (like below) and label the axes • Graph the point (2,1) • Graph a point that is 3 units above and 4 units to the right of (2,1) • Graph a point that is 2 units below and 1 unit to the left of (2,1)

  2. 1.3 Transformations (Translations) Objective: Describe translations in the coordinate plane in algebraic terms, find new coordinates of translated polygons, and graph the translations.

  3. ∆ABC underwent a change and became ∆A’B’C’. What was the change?

  4. Transformations • What does transform mean? • A transformation changes the position of a shape • 3 main types: -translations -rotations -reflections

  5. Translation • A type of transformation that moves a point, line, or shape

  6. Transformations • Pre-image: the original image (ex: ∆ABC) • Image: The image after the transformation. It is usually represented with the same letters as the pre-image but we add an apostrophe. • Ex: ∆A’B’C’. A’ is said “A prime”

  7. (-1, 1) Verbal to algebraic a) 2 units to the right (x, y)  (___________) New coordinates: ( )

  8. (-1, 1) Verbal to algebraic b) 4 units up (x, y)  (___________) New coordinates: ( )

  9. (-1, 1) Verbal to algebraic c) 3 units down and 1 to the left (x, y)  (___________) New coordinates: ( )

  10. (2, 1) Algebraic to Verbal a) (x, y)  (x, y - 1) _______________________ New coordinates: ( )

  11. (2, 1) b) (x, y)  (x - 2, y + 3) ______________________ New coordinates: ( ) Algebraic to Verbal

  12. (2, 1) c) (x, y)  (x + 3, y +1) _______________________ New coordinates: ( ) Algebraic to Verbal

  13. A’B’C’ is the image produced after translating ∆ABC three units to the left and five units down. If vertex A has coordinates (s, t), what are the coordinates of A’? A (s – 5, t + 3) B (s – 3, t + 5) C (s – 3, t – 5) D (s + 3, t – 5)

  14. G’H’I’ is the image of GHI after a transformation. What rule describes the transformation shown? A(x’, y’) = (x – 4, y + 2) B (x’, y’) = (x + 4, y – 2) C (x’, y’) = (x, y – 2) D (x’, y’) = (x + 4, y) G I G’ I’ H H’

  15. Homework Translations Worksheet

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