Question

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:

Step1: Identify corresponding sides

In scaled - copies, corresponding sides are in the same relative position. Segment $GI$ in the left figure corresponds to segment $ON$ in the right figure as they are in the same 'arm' position of the similar - shaped figures.

Step2: Define scale factor formula

The scale factor $k$ between two similar figures is the ratio of the length of a side in the scaled - copy to the length of the corresponding side in the original figure. Mathematically, $k=\frac{\text{length of side in scaled copy}}{\text{length of corresponding side in original figure}}$.

Answer:

1. The side in the figure on the right that corresponds to segment $GI$ is $ON$.
2. To find the scale - factor, we need to know the lengths of corresponding sides. Let's assume we measure the lengths of $GI$ and $ON$. If the length of $GI = a$ and the length of $ON=b$, the scale factor $k=\frac{b}{a}$. For example, if $GI = 2$ units and $ON = 4$ units, then the scale factor $k = 2$.