To find the scale factor between two distances, we use the formula:
[tex]\[
\text{Scale Factor} = \frac{\text{Distance from } A \text{ to } B}{\text{Distance from } A \text{ to } B'}
\][/tex]
Given:
- The distance from [tex]\( A \)[/tex] to [tex]\( B \)[/tex] is 10.
- The distance from [tex]\( A \)[/tex] to [tex]\( B' \)[/tex] is 2.
We can substitute these values into our formula:
[tex]\[
\text{Scale Factor} = \frac{10}{2}
\][/tex]
Now, we perform the division:
[tex]\[
\frac{10}{2} = 5
\][/tex]
Therefore, the scale factor is:
[tex]\[
5
\][/tex]
The correct answer is [tex]\( 5 \)[/tex].
