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 Dilation Scale Factor

Compare the size of polygon ABDC and A'B'D'C'. The image (A'B'D'C') is larger than the original (ABDC), so the dilation scale factor must be greater than 1. This eliminates options with scale factor less than 1.

Step2: Analyze Transformation After Dilation

Check the orientation and position. The original and image have the same orientation (no reflection or rotation changes), and the movement appears to be a translation (shifting) after dilation. Rotation would change the angle/orientation, and reflection would flip it, which isn't seen here.

Answer:

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