Transformations Sections 13.4-13.7.

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Presentation transcript:

Transformations Sections 13.4-13.7

What is a transformation??? When figures in a plane are rotated, reflected, or translated to produce new figures. The new figure is called the IMAGE and the original figure is called the PREIMAGE There are four basic formations: reflections, rotations, dilations, and translations.

Dilation When a figure can be enlarged or reduced and are similar to each other

Rotation A figure that can be turned from a fixed point The center of rotation is assumed to be the origin. A positive angle of rotation turns the figure counterclockwise, a negative angle of rotation turns the figure in a clockwise direction. The figure does not change size.

Rotation cont… a negative angle of rotation turns the figure in a clockwise direction. Rotations are isometric. Which is when the figure does not change size.

Translations When an object "slides" a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction

Reflections Reflection is simply a flip. Under a reflection, the figure does not change size. It is simply flipped over the line of reflection.

Sources http://mathworld.wolfram.com/Dilation.html http://regentsprep.org/Regents/mathb/3D1/reviewTranformations.htm http://www.intermath-uga.gatech.edu/dictnary/descript.asp?termID=359