A dilation (similarity transformation) is a transformation that alters the dimension of a figure. It calls for a center allude and a scale aspect , k . The value of k determines whether 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 that the scale aspect determines the size of the new image as compared to the size of the initial image. As soon as k is optimistic the brand-new image and the original photo are on the same side of the center. Once k is an adverse they space on opposite sides of the center. The facility of a dilation is constantly its own image.

Dilations keep angle measure, betweenness the points and also collinearity. That does not preserve distance. Simply, dilations constantly produce comparable figures .

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