What do I need to know today?
Some definitions for this chapter:
A transformation is a function that results in a change in the position, shape, or size of a figure.
The original figure is called the preimage. The resulting figure is called the image.
A transformation that preserves the distance between the points and the angle measures is called rigid motion. We will learn about these transformations first.
A translation is a type of rigid motion transformation. When you translate an image, you slide it to a new position (you do not change the size, shape, or orientation of the image).
Some notes about notation:
We often name images using prime notation. For example, if the preimage is figure ABCD, we would call the image A'B'C'D'.
For translations, we can describe them in three ways:
You could describe the slide in words: move the image 3 units up and 2 units to the right
You could describe them using coordinate notation (x + 2, y + 3)
You could describe them using function notation: T<2, 3> (the coordinate should be a subscript)
Let's do some examples!
How could you describe this translation using all three types of notation?
What are the vertices of T<-2, -5> or PQR? Graph P'Q'R'.
Write a rule to describe this translation.
Start your work with a neighbor and work on your own when you're ready!
Complete these problems (front and back for a 3)
Additional practice (for a 4)