To locate the center of dilation P, we will draw lines that pass through the corresponding vertices of the preimage and image. The point where these lines intersect is the center of the dilation.
Since the dilated image is smaller than the preimage, the dilation is a reduction. Hence, the scale factor should be less than 1. To find the scale factor, we will find the ratio of a length in the image to a corresponding length in the preimage. Let's then measure the horizontal sides of the triangles.
Now let's find their ratio.
2/2.5=4/5
The scale factor of the dilation is 45.
