Question

problem 8 here is a diagram. your scale factor from the previous screen was 2. if the distance from point f to point h is 9 units, what is the distance from point f to point g?

Explanation:

Step1: Recall the concept of scale - factor

The scale - factor relates the distances in similar or scaled - up/down figures. Here, assume the distance from \(F\) to \(G\) is \(x\) and the distance from \(F\) to \(H\) is \(y\). The scale factor \(k\) is given by \(\frac{y}{x}\).

Step2: Use the given scale - factor and distance

We know that the scale factor \(k = 2\) and \(y=9\) units. Since \(k=\frac{y}{x}\), we can solve for \(x\) by the formula \(x=\frac{y}{k}\).
Substitute \(y = 9\) and \(k = 2\) into the formula: \(x=\frac{9}{2}=4.5\) units.

Answer:

4.5 units