Dilations

dilation (similarity transformation) is a transformation that changes the size of a figure. It requires a center point and a scale factor , k . The value of k determines whether the dilation is an enlargement or a reduction.

 

Scale Factor


The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.

Enlargement


The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch).

 

Reduction


The center of dilation is a fixed point in the plane. If the scale factor is between 0 and 1, the image is a reduction (a shrink).

 

Video Tutorial


 

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