Question

the figure on the right is a scaled copy of the figure on the left.

answer attempt 1 out of 99

which side in the figure on the right corresponds to segment lm?

what is the scale factor?

Explanation:

Step1: Find the length of corresponding sides

Let's assume the length of \(LM\) is \(2\) units (by counting the grid - squares). The length of \(FH\) is \(3\) units.

Step2: Calculate the scale factor

The scale factor \(k=\frac{\text{Length of side in the larger figure}}{\text{Length of side in the smaller figure}}\). So \(k = \frac{FH}{LM}\). Substituting the values, if \(LM = 2\) and \(FH=3\), then \(k=\frac{3}{2}\).

Answer:

\(\frac{3}{2}\)