Question

answer attempt 2 out of 2
which side in the figure right corresponds to segment dg? xv
what is the scale factor?

Explanation:

Step1: Analyze the relationship between the two figures

Assume the larger figure \(GDEF\) is the original and the smaller figure \(VXWU\) is the scaled - down version. The scale factor \(k\) is given by the ratio of the length of a side of the smaller figure to the length of the corresponding side of the larger figure.

Step2: Calculate the scale factor

Let's assume the length of \(DG\) is \(3\) units (for the sake of calculation, since we are dealing with ratios) and the length of \(XV\) (the corresponding side) is \(1\) unit. The scale factor \(k=\frac{\text{length of side in smaller figure}}{\text{length of corresponding side in larger figure}}\)

If we assume the correspondence \(DG\to XV\), then \(k = \frac{1}{3}\)

Answer:

\(\frac{1}{3}\)