A dilation (similarity transformation) is a transformation that changes the size of a figure. It calls for a center point and a scale variable , k . The value of k determines even if it is the dilation is an enlargement or a reduction.

If | k | > 1 , the dilation is one enlargement.

If | k | 1 , the dilation is a reduction.

The absolute worth of the scale element determines the size of the brand-new image as contrasted to the size of the initial image. When k is confident the brand-new image and the original image are top top the very same side of the center. As soon as k is negative they are on opposite sides of the center. The center of a dilation is always its very own image.

Dilations maintain angle measure, betweenness that points and also collinearity. That does not keep distance. Simply, dilations always produce comparable figures .

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