Answer:
The correct option is 3. The value of x is 8 inches.
Step-by-step explanation:
It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.
[tex]\text{scale factor}=\frac{\text{Side of image}}{\text{Side of preimage}}[/tex]
[tex]\frac{1}{2}=\frac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\frac{16}{2}=x[/tex]
[tex]8=x[/tex]
Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.
The length of x is 8 inches. Therefore the correct option is 3.
