Monday, February 20, 2012

HOW DO WE USE OTHER DEFINITIONS OF TRANSFORMATIONS ???

- There are many types of transformations in Geometry, and some of them are Glide Reflections, Orientation, Isometry (Direct Isometry and Opposite Isometry), and Invariant.

* Glide Reflection - is the combination of a reflection in a line and a translation along that line .

Examples : 


         

*  Orientation - is the arrangement of points relative to one another after a transformation has occurred.

Examples: 
 

* Isometry - is a type of transformation of the plane that preserves length and could be either direct or opposite.

* A direct isometry preserves orientation or order - the letters on the diagram go in the same clockwise or counterclockwise direction on the figure and its image.
EXAMPLE :
  * A opposite isometry changes the order (such as clockwise changes to counterclockwise).

EXAMPLE :

*  Invariant is a figure that remains unchanged under a transformation of the plane. No variations have occurred.

 NOW LETS SEE IF YOU CAN IDENTIFY !?!?!?!

CHOOSE ONE
1.invariant
2.direct isometry
3.glide reflection
4.orientation
 * WRITE YOUR ANSWER IN COMMENTS (BELOW) *
*images from Google*