Question

Figure a is dilated by a scale factor of 1/2 to form figure b. What is the length of x?

Answer 1

Explanation:

The correct option is 3. The value of x is 8 inches.

Answer 2

The correct option is 3. The value of x is 8 inches.

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.

`\text{scale factor}=\frac{\text{Side of image}}{\text{Side of preimage}}`

`(1)/(2)=(x)/(16)`

Multiply both sides by 16.

`(16)/(2)=x`

`8=x`

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.