Question

Triangle ABC was dilated by 50%. If AC = 6, what is A'C'?

Answer 1

Because ΔABC' is 50% smaller than  ΔABC

The sides of ΔABC' will be 50% smaller

Hence, AC' length is 3

Answer 2

we know that

$Scale\ factor=50\%=\frac{50}{100}=0.50$

$Scale\ factor=\frac{A'C'}{AC}$

Solve for A'C'

$A'C'=AC*{Scale\ factor}$

we have

$Scale\ factor=0.50$

$AC=6\ units$

substitute the values

$A'C'=6*{0.50}$

$A'C'=3\ units$

therefore

the answer is

$A'C'=3\ units$