quadrilateral i is a scaled copy of quadrilateral h. what is the value of g?

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{4}=\frac{4\times1 + 1}{4}=\frac{5}{4}$

Step2: Set up proportion

Since the two quadrilaterals are scaled copies, the ratios of corresponding sides are equal. So we have the proportion $\frac{g}{\frac{5}{8}}=\frac{1}{\frac{5}{4}}$.

Step3: Solve the proportion for $g$

Cross - multiply: $g\times\frac{5}{4}=\frac{5}{8}\times1$. Then $g=\frac{5}{8}\div\frac{5}{4}$. When dividing by a fraction, we multiply by its reciprocal, so $g=\frac{5}{8}\times\frac{4}{5}$. $g=\frac{5\times4}{8\times5}=\frac{1}{2}$

Answer:

$\frac{1}{2}$