For this case, the first thing to do is find the scale factor.
We have then:
[tex]k = \frac{A'B'}{AB} [/tex]
Substituting values we have:
[tex]k = \frac{24}{4} [/tex]
Rewriting:
[tex]k = 6[/tex]
Then, we apply the scale factor to find the length of B'C '.
We have then:
[tex]B'C '= k * BC
[/tex]
Substituting values:
[tex]B'C '= 6 * 3
B'C '= 18[/tex]
Answer:
the length of segment B'C 'is:
B'C '= 18 in
