Question

6.
scale factor= ______
missing side length =______

Explanation:

Step1: Find the scale factor

The scale factor is the ratio of the corresponding sides of the similar trapezoids. We can use the top sides: the original top side is 10 and the scaled top side is 5. So the scale factor $k$ is $\frac{5}{10}=\frac{1}{2}$.

Step2: Find the missing side length

The original side length is 8. To find the missing side length, we multiply the original side length by the scale factor. So the missing side length is $8\times\frac{1}{2} = 4$.

Answer:

Scale Factor = $\frac{1}{2}$
Missing Side length = 4