Question

practice 8.2.02 christian lopez problem 8 here is a diagram. your scale factor from the previous screen was $\frac{1}{2}$. if the distance from point $f$ to point $h$ is 9 units, what is the distance from point $f$ to point $g$? units submit and explain

Explanation:

Step1: Use scale - factor relationship

The scale factor is $\frac{1}{2}$. This means the distance between two points in the smaller figure (in this case, $FG$) and the corresponding distance in the larger figure (in this case, $FH$) are related by the scale factor. Let the distance between $F$ and $G$ be $x$ and the distance between $F$ and $H$ be $y$. The formula for the scale - factor $k$ is $k=\frac{x}{y}$.

Step2: Substitute values

We know that $k = \frac{1}{2}$ and $y = 9$ units. Substituting into the formula $\frac{1}{2}=\frac{x}{9}$.

Step3: Solve for $x$

Cross - multiply: $x=\frac{1}{2}\times9=\frac{9}{2}=4.5$ units.

Answer:

$4.5$