Question

which composition of similarity transformations maps polygon abcd to polygon abcd?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation

Explanation:

Step1: Observe size change

Polygon A'B'C'D' is smaller than ABCD, so scale - factor of dilation is less than 1.

Step2: Observe orientation

Orientation is the same, so no reflection, translation is needed.

Answer:

a dilation with a scale factor less than 1 and then a translation