Definitions:

​A transformation is how you change something on a graph based on a certain rule. There are 4 main transformations:

A Translation or a slide is a change in the x and (or) y direction. The figure will stay the say, but will "slide" on the graph.

A Reflection or a flip creates a mirror image of a figure after reflecting it across an axis. The old image and new image share the same distance from the axis.

A Rotation is a turn on your graph. Your figure will change orientation by 90, 180, 270 or 360 degrees.​

​A Dilation will make your figure bigger or smaller based on a scale factor. Dilations are either enlargements or reductions.

​Translation:

​A translation will always have a rule:

(x,y) goes to (x + ..., y + ....)

​

What is the rule for this picture:​

​Describe the translation: (red to blue)

​Perform a translation on the figure: T_<-2,3>

​Reflection: An image and its reflected image will share the same distance from the axis.

​Reflect the triangle across the y axis. What will the new points be?

​R_y-axis:

​Rotation: Rotations have a certain set of rules we can follow:

​Perform the following rotations:

​r_<90,(1,2)>:

r_<180,(-3,4)>:

r_{<270, (8,-2)>}:

r_{<360, (1,4)>}:​