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: Check dilation scale factor

Polygon A'B'D'C' is larger than ABDC, so scale factor >1.

Step2: Check transformation type

ABDC and A'B'D'C' have the same orientation (no flip/reflection, no rotation). A'B'D'C' is shifted right/up from ABDC, so translation.

Answer:

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