how do we the other definitions of transformations?

We use the other definitions of transformation by glide reflection,orientation, isometric , and invariant .

*glide reflection: is the reflection of a cine and a translation along the line.

*orientation: refers to the arrangement  of points relative to one another, after a transforming has occured.

*isometric: is a transformation of the plane that preserves length .

*invariant: a figure or property that remains unchanged under a transformation of the plane is referred to as a "invariant" no "variations" have occurred.

how do we graph rotation?

We graph rotation by 90 degrees , 180 degrees and 270 degrees.

*In 90 degrees
 (a-b)----> (-b,a)
  ex.(2,5)--->(-5,2)

*In 180degrees
   (a-b)--->(-a,-b)
   ex.(5,2)--->(-5,-2)

*In 270 degrees
   (a,b)----> (b,-a)
   ex.(2,5)--->(5,-2)

How do we graph dilations?

*Dilations are a type of transformation that causes an image to stretch or shrink in proportion to its original size.
*scale factor
-the ration by which is known as the scale actor



*For example
 (4, 10) (2, 5) the dilation in this is shrink so is D1/2
 (4, 11) (8, 22) in this case the dilation in stretching so is D2

how do we identify transformations ?

We could  indetify trasnformation by translation, reflection,rotation and dilation.

*Translation: every poiny is moved the same distance in the same direction.
*Refletion:figure is flipped over a line of symmetry
*Rotation:figure is turned around a single point.
*Dilation: an anlargement or reduction in a size of an image