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 and position

The orientation of the polygons is different. A rotation is needed to align the orientation, not just a translation (which only shifts position without changing orientation) or a reflection (which flips the figure).

Answer:

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