Question

parallelogram c is a scaled copy of parallelogram b. what scale factor takes parallelogram b to parallelogram c?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from parallelogram $B$ to parallelogram $C$ is given by the ratio of corresponding side - lengths. We can use either the horizontal or vertical side - lengths. Let's use the vertical side - lengths.

Step2: Identify corresponding side - lengths

The vertical side - length of parallelogram $B$ is $35$, and the vertical side - length of parallelogram $C$ is $24\frac{1}{2}=\frac{49}{2}$.

Step3: Calculate the scale factor

The scale factor $k=\frac{\text{side - length of }C}{\text{side - length of }B}=\frac{\frac{49}{2}}{35}=\frac{49}{2}\times\frac{1}{35}=\frac{49}{70}=\frac{7}{10} = 0.7$.

Answer:

$0.7$