Question

the figure on the right is a scaled copy of the figure on the left.
which side in the figure on the right corresponds to segment vx?
what is the scale factor?

Explanation:

First Sub - Question: Which side in the figure on the right corresponds to segment \( VX \)?

In similar (scaled) figures, corresponding sides are in the same relative position. The figure on the right (larger) and the figure on the left (smaller) are scaled copies. Segment \( VX \) is a vertical side in the larger figure. Looking at the smaller figure, the vertical side corresponding to \( VX \) is \( EF \) (since \( E \) and \( F \) are in the same relative position as \( V \) and \( X \) in the larger figure).

Step 1: Determine the length of \( VX \) and \( EF \)

Assume each grid square has a side length of 1 unit. Let's count the number of grid squares for \( VX \) and \( EF \). For \( VX \), if we count the vertical grid squares, let's say \( VX \) has a length of, for example, 6 units (by counting the number of vertical grid lines it spans). For \( EF \), it spans 2 units (vertical grid lines).

Step 2: Calculate the scale factor

The scale factor is the ratio of the length of a side in the scaled (larger) figure to the length of the corresponding side in the original (smaller) figure. So, scale factor \(=\frac{\text{Length of } VX}{\text{Length of } EF}\). If \( VX = 6\) and \( EF = 2\), then scale factor \(=\frac{6}{2}=3\). (We can also check other sides. For example, if another side in the larger figure has length 3 and the corresponding side in the smaller has length 1, \(\frac{3}{1}=3\), which confirms the scale factor.)

Answer:

\( EF \)

Second Sub - Question: What is the scale factor?