Question

question the figure on the right is a scaled copy of the figure on the left. answer attempt 1 out of 2 which side in the figure on the right corresponds to segment mo? what is the scale factor?

Explanation:

First Sub - Question: Corresponding Side

In a scaled copy, corresponding sides are those that are in the same relative position in the two similar figures. Looking at the two figures, the left figure has segment \(MO\), and in the right - hand scaled copy, the side that is in the same relative position (connecting the corresponding vertices) is \(WX\). The vertex \(M\) in the left figure corresponds to \(W\) in the right figure, and vertex \(O\) in the left figure corresponds to \(X\) in the right figure. So the side corresponding to \(MO\) is \(WX\).

Step 1: Determine the length of \(MO\) and \(WX\) (assuming grid units)

Let's assume each grid square has a side length of 1 unit. To find the length of \(MO\), we can use the distance formula or count the number of grid units (horizontally and vertically) and apply the Pythagorean theorem. If we consider the horizontal and vertical distances between \(M\) and \(O\), suppose the horizontal distance is \(a\) and vertical distance is \(b\), and for \(WX\) the horizontal distance is \(a'\) and vertical distance is \(b'\). From the figure, we can see that the length of \(MO\) is twice the length of \(WX\). Let's say the length of \(WX\) is \(l\) and the length of \(MO\) is \(2l\).

Step 2: Calculate the scale factor

The scale factor \(k\) is given by 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 \(k=\frac{\text{Length of }WX}{\text{Length of }MO}\). Since \(WX\) is half of \(MO\) (from visual inspection of the grid - based figures), the scale factor is \(\frac{1}{2}\).

Answer:

The side corresponding to segment \(MO\) is \(WX\).

Second Sub - Question: Scale Factor