When the lengths increase by 2 times the area increases by 2².
C) We can see that from part A, and part B the ratio for the areas is:
[tex]\begin{gathered} \frac{\:Area\:A^{\prime}B^{\prime}C^{\prime}D}{\:area\:ABCD^{\text{ }}}=\frac{8}{2}=4 \\ \\ \frac{length\:A^{\prime}B^{\prime}}{length\:AB}=\frac{2.83}{1.41}\approx2 \end{gathered}[/tex]
2) So we can tell that when we dilate centered at the origin with a scale factor of 2 the area increases by (2)²=4
This is because the area is a square unit.
