Question

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

Explanation:

Step1: Find the scale - factor

Since the two quadrilaterals are scaled copies, the ratios of corresponding sides are equal. We can find the scale - factor by comparing two known corresponding sides. Let's use the top - side lengths. The length of the top - side of quadrilateral $H$ is $3.3$ and of quadrilateral $I$ is $2.64$. The scale - factor $k$ is given by $k=\frac{2.64}{3.3}=0.8$.

Step2: Calculate the value of $g$

We know that the bottom - side of quadrilateral $H$ is $1.75$. To find the length of the corresponding side $g$ in quadrilateral $I$, we multiply the length of the corresponding side in $H$ by the scale - factor. So $g = 1.75\times0.8=1.4$.

Answer:

$1.4$