Question

A dilation has been performed on ΔABC. The length of AB is 4 inches and the length of A'B' is 24 inches. If segment BC has a length of 3 inches, what is the length of segment B'C'? 8 in. 0.5 in. 3 in. 18 in.

Answer 1

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