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 Dilation Scale Factor

Compare the size of polygon \(ABCD\) and \(A'B'C'D'\). The image \(A'B'C'D'\) is smaller than \(ABCD\), so the dilation scale factor is less than 1.

Step2: Analyze Transformation Type After Dilation

Check the orientation: \(ABCD\) and \(A'B'C'D'\) are mirror images (reflection), not just shifted (translation). So after dilation (scale < 1), a reflection occurs.

Answer:

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