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Notes Dilations

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Notes Dilations. Definitions. Dilation - a transformation in which every point P has an image P' placed on OP so that and OP' = k * OP Center of Dilation – the point from which an original figure is dilated. - PowerPoint PPT Presentation

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  • Notes Dilations

  • DefinitionsDilation - a transformation in which every point P has an image P' placed on OP so that and OP' = k * OP

    Center of Dilation the point from which an original figure is dilated.Scale Factor - the ratio of the image length to the corresponding original length.

  • Scale FactorIf the scaled factor is greater than 1, then it is an enlargement (k>1).If the scaled factor is equal to 1, then it is a congruent figure (k=1)If the scale factor is less than 1, then it is a reduction (k
  • Corresponding distancesImage DistanceOriginal Distance2 > 1 This dilation is an enlargement .

  • Corresponding distancesImage DistanceOriginal Distance2/3 < 1 This dilation is an reduction.

  • Example:Rectangle WXYZ is the image of rectangle WXYZ after a dilation.Find the scale factor of the dilation.Tell whether the image is a reduction or an enlargement.

  • Example:2.

  • Example:3.

  • Reduction, Enlargement, or Congruent?K = 4K = K = 14>1 Enlargement
  • MatchingK = K = 3K = 2/7K = 1K = 5K = 3/8Reduction

    Enlargement

    Congruent

  • 7. scale factor 2

  • 8. scale factor

  • 8. scale factor 1/3