Click here to load reader

View

34Download

0

Tags:

Embed Size (px)

DESCRIPTION

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.

- 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