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 jh?
what is the scale factor?

Explanation:

First Sub - Question: Corresponding Side

In scaled copies, corresponding sides are in the same relative position and have the same orientation. Looking at the two figures, the left figure has segment \(JH\) which is a vertical side (assuming the grid is standard). In the right figure, the side \(DC\) is in the same relative position and orientation as \(JH\). So the side corresponding to \(JH\) is \(DC\).

Step 1: Determine the length of \(JH\) and \(DC\) (assuming grid units)

Let's assume each grid square has a side length of 1 unit. Count the number of grid units for \(JH\) and \(DC\). Suppose \(JH\) has a length of \(h_1\) and \(DC\) has a length of \(h_2\). From the figure (visually), if \(JH\) spans, say, 2 grid units and \(DC\) spans 4 grid units (this is a common case for such scaled figures, but we can also calculate based on the ratio of corresponding sides).

Step 2: Calculate the scale factor

The scale factor \(k\) is given by the ratio of the length of the side in the scaled (right) figure to the length of the corresponding side in the original (left) figure. So \(k=\frac{\text{Length of }DC}{\text{Length of }JH}\). If \(JH = 2\) and \(DC=4\), then \(k = \frac{4}{2}=2\). (The actual lengths can be determined by counting the vertical grid lines. For example, if \(JH\) goes from row \(y_1\) to \(y_2\) with a difference of 2, and \(DC\) has a difference of 4, the scale factor is 2.)

Answer:

\(DC\)

Second Sub - Question: Scale Factor