1. 9.1 Translations
By Brit Caswell

2. A transformation of a geometric figure is a function, or mapping, that results in a change in the position, shape, or size of the figure. Your textbook uses this example of dominoes on page 545.
preimage
image

3. Rigid motions are transformations that preserve distance and angle measure. This means that the image being transformed will not stretch or bend.
Which of these is a rigid motion?

4. When you name transformed objects, you do it in the same order as the corresponding object using prime notation.
With a translation, any lines that are parallel will continue to be parallel, and all of the corresponding angles within the two figures will be congruent! A B C D E A’ B’ C’ D’ E’

5. TRANSLATIONS (Slide) By using the Cartesian coordinate system, we are able to use a function that takes the points given and produce an output.
Change the x-value… or
Change the y-value… or

6. B A C Draw these translations of the following image: T <4,3> T
<x-1, y+5> B A C

7. Is Figure 1 or Figure 2 a translation? Why?

8. Think, Pair, Share
Using what you know about translations, determine whether or not the given function is a translation.
Preimage
(-1,1)
(-2,-2)
(1,3)
(1,-1)
Image
(1,4)
(0,1)
(3,5)
(3,2)

9. Preimage
(-1,1)
(-2,-2)
(1,3)
(1,-1)
Image
(1,4)
(0,1)
(3,5)
(3,2)