chapter 9 Transformations

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Transformation:  maps (moves) an initial figure (preimage) onto a final figure (image)

There are 4 types of transformations:

1.  Translation
2.  Reflection
3.  Rotation
4.  Dilation

Translation:  sliding a preimage in any direction (without turning it) Reflection: flipping a preimage over a defined line of reflection. Rotation:  turning a preimage around a defined point (the point of rotation) a certain number of degrees. Dilation:  reducing or enlarging a preimage This results in a congruence transformation or an isometry

Line of Symmetry: a line or fold location for a figure that produces halves that match exactly (are congruent)   Section 9.2  Translations

Translationa transformation that moves (slides) all points of a figure the same distance in the same direction Composition:  a transformation made up of successive transformations Glide Reflection:  a composition of a translation and a reflection in a line parallel to the direction of the translation

Section 9.3  Rotations

Rotation:  a transformation that turns every point of a preimage through a specified angle and direction around a fixed point   Section 9.4  Tessellations