Dilations

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Dilations

• 8.7

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Dilation

• A dilation with center C and scale factor k is a
  transformation that maps every point P in the
  plane to a point P so that the following
  properties are true

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Dilation Properties
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Types of Dilations

• Reduction if 0 lt k lt 1
• Enlargement if k gt 1

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Example Dilation

• Identify the dilation and find its scale factor.

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Dilations on a Coordinate Plane

• Dilations whose centers (C) are the origin have
  the property that the image of
• P(x,y) is P(kx,ky).

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Dilation in a Coordinate Plane
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Shadow Puppets

• A shadow puppet is 12 inches tall. Find the
  height of the shadow for the distance from the
  screen. What percent is the shadow puppet larger
  than the puppet?
• LCCP59in.
• LSLH74in.

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Shadow Puppets cont
59
12
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Homework

• Pg. 509-511
• 8,10,14,24-26