Similarity. DilationA dilation is a transformation that maps every point in a pre-image to another point in an image by enlarging or reducing by a specific.

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Similarity

DilationA dilation is a transformation that maps every point in a pre-image to another point in an image by enlarging or reducing by a specific scale factor with center C. Scale FactorThe constant term that determines the size of the dilation. Represented by the letter k Notation D Center, k Example D (o,o), 2 means a dilation from the Origin (0,0), with a scale factor of 2

ReductionMakes the pre-image smaller. When k is between 0 and 1. 0 < k < 1 EnlargementMakes the pre-image larger. When k is greater than 1 A B C B’ A’ F’ A’ A B B’F’ F C F

A B B’ A’ F’ C F 5 10

Properties of DilationA dilation is NOT an isometric transformation. It preserves shape, but not size. Angle Measures stay the same. Things that were parallel are still parallel. Points that were on a line remain on that line. Orientation remains the same. Distance is NOT preserved.