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 mo?
what is the scale factor?

Explanation:

Sub - question 1: Which side in the figure on the right corresponds to segment \( MO \)?

In a scaled copy, corresponding sides are those that are in the same relative position in the two similar figures. Looking at the vertices, \( M \) corresponds to \( X \), \( O \) corresponds to \( V \), so the side corresponding to \( MO \) is \( XV \).

Step 1: Determine the length of a corresponding side in both figures.

Let's assume we count the number of grid units for a side. For example, if \( ML \) (a horizontal side in the left figure) has a length of, say, 4 units (by counting grids) and the corresponding side \( XW \) in the right figure has a length of 2 units.

Step 2: Calculate the scale factor.

The scale factor is the ratio of the length of a side in the scaled copy (right figure) to the length of the corresponding side in the original figure (left figure). So if \( XW = 2 \) and \( ML = 4 \), the scale factor \( k=\frac{XW}{ML}=\frac{2}{4}=\frac{1}{2} \). (The actual count of grid units may vary depending on the grid, but the key is taking the ratio of corresponding sides.)

Answer:

\( XV \)

Sub - question 2: What is the scale factor?