DILATIONS

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

(12, 9) because (4*3, 3*3) = (12, 9).

The formula for the scale factor is $$k = \frac{new}{old}$$ .

A'(2, 4), B'(6, 8), C'(10, 12) because each coordinate is multiplied by 2.

The shape remains the same, but the size changes according to the scale factor.

The figure is reduced to half its original size.

A scale factor greater than 1 enlarges the figure.

A scale factor less than 1 reduces the figure.