Question

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 \(k=\frac{FH}{FG}\). Assume the distance between \(F\) and \(G\) is \(d_1\) and the distance between \(F\) and \(H\) is \(d_2\). If we measure the distances (or assume some coordinate - like representation where we can calculate the distances), and find that \(FH = 2FG\).

Step2: Calculate the scale factor

Since \(k=\frac{FH}{FG}\) and \(FH = 2FG\), then \(k = 2\).

Answer:

2