6. Dilations
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Recall that a scale factor is the ratio of a length on the image to a corresponding length on the preimage.
Dilation: Enlargement
Scale Factor: 1.5
Before we begin, recall that a dilation is a transformation that enlarges or reduces the original figure proportionally. There are two types of dilation.
Let's analyze the given dilation.
We can tell that the blue image is bigger than the black preimage. Therefore, the dilation is an enlargement.
The scale factor is the ratio of a length on the image to a corresponding length on the preimage. We are given the lengths of the corresponding sides of our figures.
Finally, we can find the scale factor. 12/8=1.5 The scale factor of our dilation is 1.5.