
A reflection
is a
flip. It is an opposite isometry
 the image does not change size but the lettering is reversed.


A
point reflection exists when a figure is
built around a single point called the center of the figure.
It is a direct isometry.

Reflection in the
Origin: 
While any point in the
coordinate plane may be used as a point of reflection, the most
commonly used point is the origin.
or

(assuming center of rotation
to
be the origin)

A rotation
turns a figure through an angle about a fixed point called the center.
A
positive angle of rotation turns the figure
counterclockwise, and a
negative angle of rotation turns the figure in a
clockwise direction. It is a
direct isometry. 
Rotation of
90°: 

Rotation of
180°: 
(same as point reflection in origin) 
Rotation of
270°: 


A
dilation
is a
transformation that produces an image that is the
same shape as the
original, but is a different size.
NOT an isometry. Forms
similar figures. 
Dilation of scale factor
k: 
The center of the
dilation is assumed to be the origin unless otherwise specified.


A
translation "slides" an object 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. It is a
direct isometry.

Translation of
h, k: 

