## 4.8 Vocabulary and Transformation

##### Created by:

trackkidd  on December 2, 2011

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# 4.8 Vocabulary and Transformation

 TransformationAn operation that moves or changes a geometric figure in some way to produce a new figure.
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#### Definitions

Transformation An operation that moves or changes a geometric figure in some way to produce a new figure.
New Figure Image
Translation Moves every point of a figure the same distance in the same direction
Reflection Uses a line of reflection to create a mirror image of the original figure
Rotation Turns a figure about a fixed point, called the center of rotation
Congruence transformation Changes the position of the figure without changing its size or shape
Coordinate notation for a Translation (x,y) → (x+a, y+b) shows that each point of the original figure is translated horizontally
Reflection in the x-axis Multiply the y-coordinate by -1 (x,y) → (x, -y)
Reflection in the y-axis Multiply the x-coordinate by -1 (x,y) → (-x,y)
90 degrees clockwise Rotation Multiply the x coordinate by -1 and change the role of x and y (y, -x)
90 degrees equals 270 degrees
90 degrees counterclockwise rotation Multiply the y coordinate by -1 and change the role of x and y (-y,x)
180 degrees rotation Clockwise and counterclockwise. (-x,-y)

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