Question

determining the similarity transformation
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 change

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

Step2: Analyze the orientation change

By observing the position and orientation of the polygons, we can see that after dilation, a rotation is needed to map \(ABDC\) to \(A'B'D'C'\) (translation would just shift the figure without changing its orientation in the way shown, reflection would flip the figure which is not the case here).

Answer:

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