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: Check size change

Polygon A'B'C'D' is smaller than ABCD, so scale factor <1.

Step2: Check orientation/position

A'B'C'D' is on the opposite side of y-axis vs ABCD (reflection over y-axis), no translation needed.

Answer:

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