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:

1. Analyze the size: Polygon \(A'B'D'C'\) is larger than \(ABDC\), so dilation scale factor is \(> 1\).
2. Analyze the transformation after dilation: The orientation and position suggest a translation (no rotation/reflection needed, just shifting). So a dilation (\(>1\)) then translation.

Answer:

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