Answer:
E. 4 cm
Step-by-step explanation:
Given:
Scale factor (R) = [tex] \frac{m_{image}}{m_{preimage}} = \frac{1}{3} [/tex]
AB = 12 cm
Required:
Length of A'B'
SOLUTION:
A'B' = length of the image = x cm
AB = length of the preimage = 12 cm
Thus, using the scale factor given, the length can be calculated as shown below:
[tex] \frac{m_{image}}{m_{preimage}} = \frac{x}{AB} = \frac{1}{3} [/tex]
[tex] = \frac{x}{12} = \frac{1}{3} [/tex]
Multiply both sides by 12
[tex] \frac{x}{12}*12 = \frac{1}{3}*12 [/tex]
[tex] x = \frac{12}{3} [/tex]
[tex] x = 4 [/tex]
x = A'B' = 4 cm
