Is there a combination of dilations and rigid motions that maps one figure onto the other?
No, see solution.
Practice makes perfect
Let's start by paying close attention to the given figures.
Let's see if corresponding sides are proportional. To do so, we will check if the the following equation holds true.
GH/CD? =GF/CB
Keep in mind that GH= 3, CD= 6, GF= 2, and CB= 1.
The corresponding side lengths of these figures are not proportional, which means that there is no sequence of dilations and rigid motions that will map one figure onto the other. The figures are not similar.
