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 = (A'B')/(AB)`
Substituting values we have:

`k = (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