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7. enter the missing lengths in polygon b. 8. enter the missing angle m…

Question

  1. enter the missing lengths in polygon b. 8. enter the missing angle measurements in polygon a. 9. tyler says that figure k is a scaled copy of figure g. is tyler correct? explain your thinking. figure g figure k 4 cm 2 cm

Explanation:

Step1: Recall the properties of scaled - copies

In a scaled - copy, the ratios of corresponding side lengths are equal.

Step2: Compare the side lengths of Figure G and Figure K

The vertical side length of Figure G is 4 cm and the vertical side length of Figure K is 2 cm. The ratio of the vertical side lengths is $\frac{2}{4}=\frac{1}{2}$. But if we consider the horizontal side lengths (not shown in the problem - but for a scaled - copy all side - length ratios must be the same), assume the horizontal side lengths also have a ratio of $\frac{1}{2}$. However, for a shape to be a scaled - copy, all corresponding lengths must be scaled by the same factor in all directions. Looking at the overall shape, if we consider the "indentations" and the overall structure, the shapes are not similar in the sense of scaled - copies. The relative positions and proportions of the parts of the shapes are not consistent when scaled.

Answer:

No, Tyler is not correct. The shapes do not have consistent side - length ratios in all directions to be scaled copies of each other.