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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 4 cm figure k 2 cm

Explanation:

Step1: Recall property of scaled - copies

In scaled - copies, the ratio of corresponding side - lengths is constant.

Step2: Calculate the ratio of side - lengths

The height of Figure G is 4 cm and the height of Figure K is 2 cm. The ratio of the height of Figure K to the height of Figure G is $\frac{2}{4}=\frac{1}{2}$.

Step3: Check other side - lengths for consistency

If Figure K is a scaled copy of Figure G, all corresponding side - lengths should have the same ratio. However, if we consider the horizontal side - lengths (the lengths of the "teeth" and the overall horizontal extent), we can see that the shape of the "teeth" in Figure K is different from that in Figure G in a non - proportional way. For example, the relative thickness of the "teeth" and their spacing are not in the same proportion as the height ratio. So, the side - lengths do not all have the same ratio.

Answer:

Tyler is not correct.