Question

Consider the definition of a dilation. A dilation is a transformation that can change the size of a polygon but leaves the shape unchanged. In a dilation, how are the ratios of the measures of the corresponding sides related ?

Answer 1

The ratios will be equal to the scale factor.

Explanation:

Dilation transforms an image to a different size.

In Dilation, the shape of the image remain same, but the size of the figure change as per the scale of the Dilation.

As per example, if the scale factor of Dilation is 2, then the area of the dilated figure =
`2* \ area of the original image`.

Similarly, the sides increase or decrease as per the scale factor.

`(Side of the dilated figure)/(Corresponding side of the original figure) = Scale factor`.