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 kh?
what is the scale factor?

Explanation:

First Sub - Question: Corresponding Side to \(KH\)

In a scaled copy, corresponding sides are those that are in the same relative position in the two similar figures. By looking at the labels of the vertices, the figure on the left has vertices \(I, J, K, H, L\) and the figure on the right has vertices \(T, X, V, U, W\). The side \(KH\) in the left figure (connecting \(K\) and \(H\)) corresponds to the side \(VU\) in the right figure (connecting \(V\) and \(U\)) as they are in the same relative position in their respective polygons.

Step 1: Choose a pair of corresponding sides

Let's choose a side from the left figure and its corresponding side from the right figure. For example, let's consider the vertical side \(IJ\) in the left figure and \(TX\) in the right figure.

Step 2: Count the length of \(IJ\)

Looking at the grid, if we assume each grid square has a side length of 1 unit, the length of \(IJ\) is 2 units (from the y - coordinate difference).

Step 3: Count the length of \(TX\)

The length of \(TX\) is 4 units (from the y - coordinate difference).

Step 4: Calculate the scale factor

The scale factor \(k\) is 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 \(k=\frac{\text{Length of }TX}{\text{Length of }IJ}=\frac{4}{2} = 2\).

Answer:

\(VU\)

Second Sub - Question: Scale Factor