The given dilation is an isometry dilation.
Step-by-step explanation:
Step 1; First, we need to compare the dimensions of the two figures. We check to see if the side lengths are the same. If the parameters are the same, the dilation could be an enlargement or a reduction. Whereas if the parameters are the same, it could be an isometric dilation or just a reflection.
Step 2; The first shape has a side length of approximately 2.5 units. We compare this to the same side length as the second shape. The second shape has the same side length.
The first shapes side length of the / same side length of the second shape = 2.5 / 2.5 = 1,
So the scale factor is 1. As the parameters do not change, it could either be a reflection or an isometric dilation.
Step 3; The base side in shape 1 is BC whereas the same base side in shape 2 is [tex]A^{1}[/tex][tex]B^{1}[/tex]. So shape ABCDE has rotated to form the shape the dilation is isometric and not a reflection with a scale factor of 1.
