Translations. Definitions: Transformations: It is a change that occurs that maps or moves a shape in a specific directions onto an image. These are translations,

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Presentation transcript:

Translations

Definitions: Transformations: It is a change that occurs that maps or moves a shape in a specific directions onto an image. These are translations, rotations, reflections, and dilations. Pre-image: The position of the shape before the change is made. Image: The position of the shape after the change is made. Translation: A transformation that “slides” a shape to another location.

Translations: You “slide” a shape up, down, right, left or all the above. Notation: (x, y) ( x + 2, y - 3)

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (3, 4) B’ (2, 2) C’ (4, 1) Transformation (x, y) (x + 5, y + 0) A B C A’ B’ C’

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (-5, 4) B’ (-6, 2) C’ (-4, 1) Transformation (x, y) (x - 3, y + 0) A B C A’ B’ C’

x y Image A’ (-2, -1) B’ (-3, -3) C’ (-1, -4) Transformation (x, y) (x + 0, y - 5) A B C A’ B’ C’ Pre-image A (-2, 4) B (-3, 2) C (-1, 1)

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (-2, 8) B’ (-3, 6) C’ (-1, 5) Transformation (x, y) (x + 0, y + 4) A B C A’ B’ C’

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (1, 0) B’ (0, -2) C’ (2, -3) Transformation (x, y) (x + 3, y - 4) A B C A’ B’ C’

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (3, 6) B’ (2, 4) C’ (4, 3) Transformation (x, y) (x + 5, y + 2) A B C A’ B’ C’

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (-6, -1) B’ (-7, -3) C’ (-5, -4) Transformation (x, y) (x - 4, y - 5) A B C A’ B’ C’

x y Pre-image A (-2, 4) B (-3, 2) C (-1, 1) Image A’ (-4, 7) B’ (-5, 5) C’ (-3, 4) Transformation (x, y) (x - 2, y + 3) A B C A’ B’ C’

In-class Translation Project!

x y Transformation (x, y) (x + 6, y - 7)