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 change

The polygon \(A'B'D'C'\) is larger than polygon \(ABDC\). A dilation with a scale factor greater than \(1\) increases the size of a figure.

Step2: Analyze the orientation

The orientation of the two polygons (the relative positions of their vertices) is the same. A rotation would change the orientation. A reflection would also change the orientation (like flipping). A translation just moves the figure without rotating or flipping.

Answer:

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