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# Similarities and Transformations

## Translations

Translation- transformation that slides a figure from one position to another without turn.

Rotation- a transformation where a figure is turned about a fixed point to a certain amount of degrees.

Reflection- a transformation where a figure is flipped over a line.

Dilation- a transformation that enlarges or reduces a figure by a scale factor.

Coordinates-each of a group of numbers used to indicate the position of a point, line, or plane.

Formulas-Numbers and symbols that show how to work something out.

# How To Do These Transformations

Rotation
For rotation, you will be given coordinates with an figure. By the end of the problem you should have the same figure just rotated. Depending on the way you rotate your figure its different formulas.

Clockwise                                  Counter Clockwise

90' (x,y)=(y,-x)                 (x,y)=(-y,x)

180' (x,y)=(-x,-y)              (x,y)=(-y,-x)

270' (x,y)=(-y,x)               (x,y)=(-y,x)

Translation
For the transformation, translation you will be given a figure with coordinates. To get the new coordinates of the new figure is you will slide your figure to new the coordinates that they tell you to translate the old coordinates by.

Dilation
For dilation you will be given a figure with coordinates. They will also provide you with a scale factor. You will multiply the old coordinates and the scale factor to get your new coordinates and plot down your answer.

Reflection

For reflection you will be given figure with coordinates that tells you how many units to move up/down or right/left. After you move however many spaces you will then plot the new coordinates. To see if our answer is correct your figure should have a reflection either next, below or above it.