Dilations. Transformation – a change in position, size, or shape of a figure Preimage – the original figure in the transformation Image – the shape that.

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Dilations

Transformation – a change in position, size, or shape of a figure Preimage – the original figure in the transformation Image – the shape that is the result of the transformation Isometry – a transformation that does not change the size or shape of the figure

Dilation is a transformation that changes the size of a figure but not its shape Not Isometry Image and Preimage are similar, but not congruent

Reduction or Contraction – a dilation that results in a smaller figure Enlargement or Expansion – a dilation that results in a larger figure Scale factor – the multiplier used in a dilation Center of dilation – the intersection of lines that connect each corresponding point of the image and preimage The dilation to the right is a reduction, scale factor ½ and center is point E

Suppose you want to enlarge a map that is 12 inches by 18 inches. If you choose the 120% enlargement setting on the scanner: a) What will be the new lengths of the sides? b) How will the perimeter of the original compare to the new? c) How will the area of the original compare to the new?

Suppose you want to enlarge a map that is 12 inches by 18 inches. If you choose the 120% enlargement setting on the scanner: a) What will be the new lengths of the sides? 120% = 1.2 scale factor 12(1.2) = 14.4 in 18(1.2) = 21.6 in

Suppose you want to enlarge a map that is 12 inches by 18 inches. If you choose the 120% enlargement setting on the scanner: