The scale factor of the dilation of polygon ABCD to polygon PQRS is: 3/2.
How to Determine the Scale Factor of a Dilation?
Dilation means the enlargement or reduction of a polygon. If a polygon is enlarged, the new image formed after dilation is bigger than the original image. If the dilation is a reduction, the new image formed is smaller than the original image. The formula for determining the scale factor of a dilation is given as;
- Scale factor = Dimension of new image / corresponding dimension of original image.
We have the following:
Dimension of new image after dilation = PS = 3 units
Corresponding dimension of original image before dilation = AD = 2 units
The scale factor of the dilation = 3/2
In conclusion, the scale factor of the dilation of polygon ABCD to polygon PQRS is: 3/2.
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