Question

which composition of similarity transformations would map polygon abdc to polygon abdc? a dilation with a scale factor greater than 1 and then a translation a dilation with a scale factor greater than 1 and then a rotation 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

Explanation:

Step1: Analyze the size of polygons

Polygon \(A'B'D'C'\) is larger than polygon \(ABDC\), so a dilation with a scale factor greater than 1 is involved.

Step2: Analyze the orientation of polygons

The orientation of the two polygons is different. A rotation is needed to align the orientation after dilation (translation would not change the orientation, and reflection would flip the figure in a different way than what is shown in the image).

Answer:

a dilation with a scale factor greater than 1 and then a rotation