Question

the figure on the right is a scaled copy of the figure on the left. answer attempt 1 out of 4 which side in the figure on the right corresponds to segment ( jk )? what is the scale factor?

Explanation:

Step1: Identify corresponding sides

In scaled - copies, corresponding sides are in proportion. By visual inspection of the figures, side \(JK\) in the left figure and side \(VW\) in the right figure have the same orientation and shape relationship (both are the top - horizontal sides of the polygons).

Step2: Calculate the scale factor

Count the length of \(JK\) and \(VW\) using the grid. Let's assume each grid square has a side length of \(1\).
The length of \(JK\) (counting the number of grid units along its length) is \(4\).
The length of \(VW\) is \(2\).
The scale factor \(k=\frac{\text{length of side in scaled copy}}{\text{length of corresponding side in original}}\)
\(k = \frac{2}{4}=\frac{1}{2}\)

Answer:

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