Question

pentagon e is a scaled copy of pentagon d. pentagon d has sides 10, 7.6, 12.4. pentagon e has sides 7.5, 5.7, 9.3. what scale factor takes pentagon d to pentagon e?

Explanation:

Step1: Choose corresponding sides

We can take the side of length 10 in Pentagon D and the corresponding side of length 7.5 in Pentagon E (or other corresponding sides like 7.6 and 5.7, 12.4 and 9.3). Let's use 10 and 7.5.

Step2: Calculate scale factor

The scale factor is the ratio of the length of a side in the scaled copy (Pentagon E) to the length of the corresponding side in the original (Pentagon D). So, scale factor $= \frac{7.5}{10} = 0.75$. We can check with other sides: $\frac{5.7}{7.6}=0.75$ and $\frac{9.3}{12.4}=0.75$, which confirms the scale factor.

Answer:

0.75