Question

the figure on the right is a scaled copy of the figure on the left, though it might have also been rotated.
answer attempt 1 out of 2
which side in the figure on the right corresponds to segment mn?
what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In scaled - copy figures, corresponding sides are in proportion. By observing the orientation and shape of the two figures, we can see that side \(MN\) (vertical side in the left figure) corresponds to side \(DG\) (vertical side in the right figure).

Step2: Calculate the scale factor

Let's assume the length of \(MN\). If we count the grid - units, \(MN = 4\) units. The length of \(DG=2\) units.
The scale factor \(k\) is given by the formula \(k=\frac{\text{length of side in the scaled - copy}}{\text{length of side in the original}}\).
So, \(k = \frac{DG}{MN}\)
Substitute \(DG = 2\) and \(MN = 4\) into the formula: \(k=\frac{2}{4}=\frac{1}{2}\)

Answer:

The side that corresponds to \(MN\) is \(DG\). The scale factor is \(\frac{1}{2}\)