1 / 15

Translations Geometry Mr. Miller

Chapter 9 Section 1 Pages 545-548. Translations Geometry Mr. Miller. Standard addressed: G.4.2: Construct the results (using technology when appropriate), and interpret transformations of figures in the coordinate plane, e.g., translations, reflections, rotations, scale factors,

marvin
Download Presentation

Translations Geometry Mr. Miller

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 9 Section 1 Pages 545-548 TranslationsGeometry Mr. Miller Standard addressed: G.4.2: Construct the results (using technology when appropriate), and interpret transformations of figures in the coordinate plane, e.g., translations, reflections, rotations, scale factors, and the results of successive transformations. Apply transformations to the solutions of problems;

  2. 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.

  3. Translations: This means that the point (x,y) is moved 2 units to the right and 3 units down. You “slide” a shape up, down, right, left or all the above. Notation: (x, y) ( x + 2, y - 3)

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

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

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

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

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

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

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

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

  12. In-classTranslation Project!

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

  14. Assignment: DUE FRIDAY Apr 20. Problem 1: Identifying an Isometry Problem 2: Naming Images and Corresponding parts. Problem 3: Finding the image of a translation. Problem 4: Writing a rule to describe a translation. Problem 5: Composing Translations Important: Complete each self assessment and show your work for credit Complete the following tutorials on Pearsonsuccessnet.com: 2) Complete “Translations and Reflections” assignment on MATHXL for school. 12 problems.

More Related