Transformations
Sections 13.4-13.7
What is a transformation???
When figures in a plane are rotated, reflected,
or translated to produce new figures.
 The new figure is called the IMAGE and the
original figure is called the PREIMAGE
There are four basic formations: reflections,
rotations, dilations, and translations.

Dilation

When a figure can be
enlarged or reduced and
are similar to each other
Rotation





A figure that can be turned
from a fixed point
The center of rotation is
assumed to be the origin.
A positive angle of rotation
turns the figure
counterclockwise,
a negative angle of rotation
turns the figure in a clockwise
direction.
The figure does not change
size.
Rotation cont…


a negative angle of rotation turns the figure in a
clockwise direction.
Rotations are isometric. Which is when the
figure does not change size.
Translations


When an object "slides"
a fixed distance in a
given direction.
The original object and
its translation have the
same shape and size,
and they face in the
same direction
Reflections


Reflection is simply a
flip.
Under a reflection, the
figure does not change
size. It is simply flipped
over the line of
reflection.
Sources
http://mathworld.wolfram.com/Dilation.html
http://regentsprep.org/Regents/mathb/3D1/reviewTranformations.htm
http://www.intermath-uga.gatech.edu/dictnary/descript.asp?termID=359