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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
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.
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.
MatchingK = K = 3K = 2/7K = 1K = 5K = 3/8Reduction
Enlargement
Congruent
7. scale factor 2
8. scale factor
8. scale factor 1/3