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9-5 Dilations. Dilation. A dilation is a copy of a figure that is larger or smaller than the original figure. The original figure and all dilations of it are similar. A dilation is an enlargement if the scale factor is greater than 1. The dilation will be LARGER than the original figure.

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dilation
Dilation
  • A dilation is a copy of a figure that is larger or smaller than the original figure.
    • The original figure and all dilations of it are similar.
  • A dilation is an enlargement if the scale factor is greater than 1.
    • The dilation will be LARGER than the original figure.
  • The dilation is a reduction if the scale factor is between 0 and 1.
    • The dilation will be SMALLER than the original figure.
finding a scale factor
Finding a Scale Factor
  • ΔX’T’R’ is a dilation of ΔXTR.
    • Is the dilation an enlargement or a reduction?
    • What is the scale factor of the dilation?
finding the coordinates of a dilation
Finding the Coordinates of a Dilation
  • In this book, all dilations of a figure drawn in the coordinated plane has the origin as the center of dilation.
  • Therefore, you can find the coordinates of a dilation by multiplying the coordinates of the original figure by the scale factor.
    • You can also find the scale factor by dividing the coordinates of the dilation by the coordinates of the original figure.
finding a dilation
Finding a Dilation
  • What are the coordinates of each vertex of the dilation of ΔPZG if the center is (0, 0) and the scale factor is 2?
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 J’K’L’M’ is a dilation of JKLM with a center at (0, 0). Is the dilation an enlargement or reduction? What is the scale factor of the dilation?