which composition of similarity transformations maps polygon abcd to polygon abcd?\n a dilation with a scale…

which composition of similarity transformations maps polygon abcd to polygon abcd?\n a dilation with a scale factor of 1/4 and then a rotation\n a dilation with a scale factor of 1/4 and then a translation\n a dilation with a scale factor of 4 and then a rotation\n a dilation with a scale factor of 4 and then a translation

which composition of similarity transformations maps polygon abcd to polygon abcd?\n a dilation with a scale factor of 1/4 and then a rotation\n a dilation with a scale factor of 1/4 and then a translation\n a dilation with a scale factor of 4 and then a rotation\n a dilation with a scale factor of 4 and then a translation

Answer

Explanation:

Step1: Observe size change

The polygon A'B'C'D' is smaller than ABCD. A dilation with a scale - factor less than 1 reduces the size of a figure. So the scale - factor of the dilation is $\frac{1}{4}$.

Step2: Observe orientation change

The orientation of the polygon has changed. A rotation changes the orientation of a figure, while a translation only moves the figure without changing its orientation.

Answer:

a dilation with a scale factor of $\frac{1}{4}$ and then a rotation