1 / 5

10-8 Translations

10-8 Translations. (pages 451-454). Indicator  G8- Perform translations of two- dimensional figures using a variety of methods. Any time a geometric figure is moved, it is called a transformation .

phila
Download Presentation

10-8 Translations

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. 10-8 Translations (pages 451-454) Indicator G8- Perform translations of two- dimensional figures using a variety of methods

  2. Any time a geometric figure is moved, it is called a transformation. When you slide a polygon to a new position without turning it, the sliding motion is called a translation. When translating a figure, every point of the original figure is moved the samedistance and in the same direction! Whenever a figure is translated, use the prime symbols for the vertices in the transformed image. Translation (slide) Transformation/Translation Notation

  3. Graph a Translation • Translate 5 units left and 1 unit up. • Move each vertex of the figure 5 units left and 1 unit up. • Label the new vertices A’, B’, and C’. • Connect the vertices to draw the triangle. The coordinates of the vertices of the new figure are • A’ (-4, -1), B’ (-1, 2), and • C’ (0, -1). B’ B A’ C’ A C Note that after the triangle has been translated, the original triangle and the translated triangle (image) are congruent.

  4. You can also find the coordinates of a translation by adding or subtracting. Tip- A positiveinteger describes a translation right or up on a coordinate plane. A negativeinteger describes a translation left or down. H I G’ (1, -2) (-4 + 5) (1 – 3) H’ G J I’ H’ (1, 0) (-4 + 5) (3 – 3) (-2 + 5) (3 – 3) I’ (3, 0) G’ J’ (-1 + 5) (1 – 3) J’ (4, -2)

  5. You try… The squares below represent the desks in a classroom. Ana is seated at the square marked X. She is moved to the seat marked Y. Describe this translation as an ordered pair. Remember (X,Y). Ana moved 2 places right. (this is +2) And 2 places up. (this is +2) So, the translation can be written (2,2).

More Related