Question

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

Explanation:

Step1: Analyze the size of the polygons

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

Step2: Check the orientation and position

The orientation of the polygons is the same (no rotation or reflection is needed to align the basic shape orientation). And we can observe that after dilation (enlargement), a translation (a slide) is needed to map one polygon to the other.

Answer:

a dilation with a scale factor greater than \(1\) and then a translation