Translations

Translations and Getting Ready for Reflections by Graphing Horizontal and Vertical Lines.

In geometry we say that the building was translated

Labeling TranslationsThe original segment is called the

preimage and the resulting segment is the image. Notice how it is labeled using

the prime symbol (‘) next to the letter used to label each point.

The segment connecting each original point to the image is called the translation vector. When translating a shape all translation vectors are the same length and are parallel.

A translation vectors is described using:

The horizontal change which is how much each point moves to the right or to the left. The horizontal change is also how much the x value of the point changes.

The vertical change which is how much each point moves up or down. The vertical change is also how much the y value of the point changes.

I Do: Example 1A

We Do: Example 1B

You Do: Example 1C

Getting Ready for Reflections

Before we move on to study reflections we must review how to graph line given its equation.

I Do: Example 1A

Graph Create a table of values

(at least three points)Graph the points.

We Do: Example 1B

Graph

Horizontal and Vertical LinesHorizontal Line

Y=-2Vertical Line

X=3

You Do: Example 2C

Graph Y=4 Graph y=-3