Question

is polygon f a scaled copy of polygon e? 1 4 1·\frac{\square}{\square}=4 2 8 2·\frac{\square}{\square}=8 1 4 1·\frac{\square}{\square}=4

Explanation:

Step1: Find the scale - factor for the first pair

To find if Polygon F is a scaled copy of Polygon E, we check the ratio of corresponding side - lengths. For the first row, if we let the scale - factor be $k$, then from $1\times k = 4$, we solve for $k$. The equation is $1\times k=4$, and $k = \frac{4}{1}=4$.

Step2: Check the scale - factor for the second pair

For the second row, we have the equation $2\times k = 8$. Substituting $k = 4$ (from Step 1), we get $2\times4=8$, which is true.

Step3: Check the scale - factor for the third pair

For the third row, the equation is $1\times k = 4$. Since $k = 4$, we have $1\times4 = 4$, which is true.

Answer:

Yes, Polygon F is a scaled copy of Polygon E with a scale - factor of 4.