Other definitions of transdormations

Aim: How do we use the other definitions of transformations?
  
Answer:
There are five other definitions of transformations which are glide reflections, orientation, isometry, direct isometry, and opposite isometry which are all protrayed with definitions and images shown below.

Glide Reflection:

     A glide reflection is the combination of the transformations of a reflection in a line and a translation along that line.
Examaples:


     

Orientation:

      The orientation is the arrangement of points, relative to one another after a transformation has occurred.

 Examples:






 Direction of letters in image 1(left): Clockwise
Direction of letters in image 2(right): Counter Clockwise

Isometry:

An isometry is a transformation of the plane that preserves length.

Examples:



Figure 1 to Figure 2 expresses isometry.

Direct Isometry:

    A direct isometry preserves the order, in which the letters of the diagram go in the same clockwise or counterclockwise direction on the figure and its image.

Examples:

 Opposite Isometry:

     A opposite isometry changes the order in which the letters go, the order of these letters can go in the directions of clockwise to counterclockwise or from counterclockwise to clockwise.

Examples:












Invariant:  
     When a figure or property remains  unchanged under a transformation of the plane is known as a invariant, when no variations have occurred. An example of a invariant would be isometry and/ or orientation under the transformation of translation.

Example:










Try it yourself!:
What type of transformation is shown below?



a)Isometry
b) Direct Isometry
c)Glide Reflection
d)Orientation

                                                                                                                   Answer: C) Glide Relection

 

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