Chapter Twelve:  
Transformations

Geometry   Notes

Chapter  12

Section  12.1
Section  12.2
Section  12.3
Section  12.4
Section  12.5
Section  12.6
Section  12.7

Geometry Contents

Take notes on the following topics.

Section 12.7  Dilations

Vocabulary

Dilation (p. 674) A dilation, or similarity transformation, is a transformation that has center C and scale factor n, where n > 0, and maps a point R to R′ in such a way that R′ is on CR and CR′ = n • CR. The center of a dilation is its own image. If n > 1, the dilation is an enlargement, and if 0 < n < 1, the dilation is a reduction.

Scalar multiplication (p. 675) Scalar multiplication is the multiplication of each entry in a matrix by the same number, the scalar.