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 gi? what is the scale factor?

Explanation:

Part 1: Corresponding Side to \( GI \)

In a scaled copy, corresponding sides are the sides that have the same relative position and orientation. Looking at the figures, segment \( GI \) is a vertical segment on the left figure. The vertical segment on the right figure with the same relative position is \( ON \).

Step 1: Determine the length of \( GI \)

Assume each grid square has a side length of 1. Count the number of grid squares along \( GI \). From \( G \) to \( I \), let's say it spans 3 units (you can count the vertical grids: if \( G \) is at a certain row and \( I \) is 3 rows below, length is 3).

Step 2: Determine the length of \( ON \)

Count the grid squares along \( ON \). If \( O \) is at a row and \( N \) is 6 rows below (since it's a scaled copy, and we can see the right figure is larger), length of \( ON \) is 6 units.

Step 3: Calculate the scale factor

Scale factor is the ratio of the length of the side in the scaled copy (right figure) to the length of the corresponding side in the original (left figure). So scale factor \( = \frac{\text{Length of } ON}{\text{Length of } GI} = \frac{6}{3} = 2 \).

Answer:

\( ON \)

Part 2: Scale Factor