Sunday, February 19, 2012

How Do We Use Other Definitions of Transformations?

There are many types of transformations in Geometry. Some of them are Glide Reflections, Orientation, and Isometry, Direct Isometry and Invariant.


  • Glide Reflection is the combination of a reflection in a line and a translation along that line

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

  • Isometry is a type of transformation of the plane that preserves length. For Example: a transformation that preserves everything except dilation.

  • Direct Isometry preserves orientation or order - the letters on the diagram go in  the same clockwise or counterclockwise direction on the figure.

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

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