1 / 16

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).

inga
Télécharger la présentation

Do Now

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. 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

More Related