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What is the scale factor if the distance from [tex]\(A\)[/tex] to [tex]\(B\)[/tex] is 10 and the distance from [tex]\(A\)[/tex] to [tex]\(B'\)[/tex] is 2?

A. [tex]\(\frac{1}{5}\)[/tex]

B. 5

C. 4

D. [tex]\(\frac{1}{4}\)[/tex]

Sagot :

GinnyAnswer
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].
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