Question

practice 8.2.02 logan green 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? 5 edit my response

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ of a dilation with center $F$ is given by $k=\frac{FH}{FG}$. Since no lengths are given, assume we measure the distances. If we consider the relative positions and assume that the distance from $F$ to $H$ is 5 times the distance from $F$ to $G$, then the scale - factor is based on the ratio of these distances.
Let $d(F,G)$ be the distance between $F$ and $G$ and $d(F,H)$ be the distance between $F$ and $H$. If $d(F,H) = 5d(F,G)$, then $k=\frac{d(F,H)}{d(F,G)}=5$.

Answer:

5