Translation:
Every point is moved the same distance in the same direction.
Reflection:
Figure is flipped over a line of symmetry.
Rotation:
Figure is turned around a single point.
Dilation:
An enlargement or reduction in size of an image.
TRANSLATION:
Definition: A translation (notation
) is a transformation of the plane that slides every point of a figure the same distance in the same direction.
![](http://www.regentsprep.org/Regents/math/geometry/GT2/Trans.2.gif)
![](http://www.regentsprep.org/Regents/math/geometry/GT2/Trans.1.gif)
![](http://www.regentsprep.org/Regents/math/geometry/GT2/Trans.2.gif)
Translations in the Coordinate Plane:
In the example below, notice how each vertex moves the same distance
in the same direction.
in the same direction.
![](http://www.regentsprep.org/Regents/math/geometry/GT2/TranG1.gif)
In this next example, the "slide" (translation) moves the figure
7 units to the left and 3 units down.
7 units to the left and 3 units down.
DILATION
Example 1:
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![](http://www.regentsprep.org/Regents/math/geometry/GT1/xygraph.gif)