Thursday, September 6, 2012

TRANSFORMATIONS!

Transformations in Geometry are changes in the position of a shape on a coordinate plane. What that really means is that a shape is moving from one place to another. There are four basic movements: translations, rotations, reflections and glide-reflections.
Translations or slides are a motion in which all points are moved the same distance and in the same directions.
                      

Rotations or turns, are where one point stays the same and the remaining points are turned around the center of rotation.
                             

Reflections, flips, or mirror reflections are determined by a line in the plane called the "line of reflection" or "mirror line" and is described as a transformation in which the figure is the mirror image of the other.

                                     

Glide-reflections combine both a slide and a reflection. This is when a translation and a reflection are performed one after the other.
                  

You can practice these transformations by using a gridded piece of paper. Here is a video that uses music to help remember each of the transformations and what they are.(http://youtu.be/hFajxpVeobY).  Practicing is the best way to truly understand how to perform each task. Have fun and see you next week!

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