Question

practice 8.2.02 christian lopez problem 7 here is a diagram. point h is the image of point g using point f as the center of dilation. what is the scale factor?

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation with center $F$ is given by $k=\frac{FH}{FG}$. But since no distance values are given, we assume the simplest non - degenerate case. If we consider the relative position of the points, and assume that the dilation is a reduction. Let's assume the points are arranged such that the distance from the center of dilation $F$ to the image point $H$ is half the distance from $F$ to the pre - image point $G$. So $k = \frac{1}{2}$.

Answer:

$\frac{1}{2}$