# Transformations

### Translation, Rotation, Reflection, Dilation

## Translation

## Rotation Rotation is the geometric act of rotating a shape or an object around an axis or center | ## Dilation Dialtion is a transformation (notation ) that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure. The description of a dilation includes the scale factor (or ratio) and the center of the dilation | ## Reflection Reflection is the geometric concept of reflecting or mirroring a shape over the X or Y axis |

## Dilation

## Transformation Vocabulary

**Isometry -**An isometry 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 invariant. No variations have occurred

**Opposite Transformation - ** An opposite transformation is a transformation that changes the orientation of a figure. Reflections and glide reflections are opposite

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

**Position Vector - ** A position vector is a coordinate vector whose initial point is the origin. Any vector can be expressed as an equivalent position vector by translating the vector so that it originates at the origin.

## Bibliography

http://www.regentsprep.org/regents/math/geometry/gt0/transvocab.htm

http://www.regentsprep.org/regents/math/geometry/gt2/PracT8.gif

http://image.tutorvista.com/content/feed/tvcs/Chapter_4_Lesson_7_13.jpg

http://www.regentsprep.org/regents/math/geometry/gt3/Graph1.gif

http://www.regentsprep.org/regents/math/geometry/gt1/xgraph.gif