Dilations Change Length by Scale Factor Practice Test

A regular hexagon has side length 12 cm. It undergoes a dilation with scale factor k, and the resulting hexagon has a perimeter that is 54 cm less than the original perimeter. What is the value of k?

In the coordinate plane, triangle $ABC$ is dilated about center $O$ with scale factor $k=\tfrac{3}{2}$ to form triangle $A'B'C'$. How does the length of segment $\overline{AB}$ compare to the length of its image $\overline{A'B'}$?