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: Analyze the size change

Since polygon \(A'B'C'D'\) is smaller than polygon \(ABCD\), the scale factor of the dilation is less than \(1\).

Step2: Analyze the orientation change

The orientation of the polygons has changed (a reflection has occurred). A translation would not change the orientation.

Answer:

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