1. Notes
Translations

2. Vocab
A transformation is a change in the position, shape, or size of a figure. There are three types of transformations that change a figure’s position, but not its size or shape. They include translations, reflections, and rotations.
Today we are going to be talking about translations.

3. Purpose
Our purpose is to find a way to talk about how we can find a way to discuss how objects move in a particular direction.
We need this all the time in the real world:

4. Some More Vocab
A translation is a transformation that moves each point of a figure the same distance and in the same direction.
The figure you get after a transformation is an image.
To identify the image of a point, say A, we use the notation A’

5. Translating a Point
My suggestion: Plot the point, follow the directions, and plot the image.

6. Translating a shape To translate a shape, just do it point by point.
For example:

7. Arrow Notation You can use arrow notation to describe the translation.
You do this by going point for point.
Recall, the translation was 6 units to the right and 3 down. If you didn’t remember this, is there any way you could have determined that fact?

8. Arrow Notation Continue
You can use arrow notation to write a general rule that describes a translation.
For example:
Shows the ordered pair (x,y) and describes a translation to left 1 unit and up 5 units.
What does the following arrow notation describe:
(x, y) ---> (x+2, y - 4)
Plus signs mean “Up” or “to the right”
Minus signs mean “Down” or “to the left”

9. Practice
Write a rule to describe the translation of the black triangle to the blue. 1. 3. 2.

10. Before you get Started…
We will go over a couple of examples so that you are comfortable.