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
Text of 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.
Reduction, Enlargement, or Congruent?K = 4K = K = 14>1 Enlargement