Question

Which scale factors produce a contraction under a dilation of the original image?

2

1/2

-2

-1/2

Answer 1

1/2

-1/2

Explanation:

we know that

If a dilation produce a contraction that means that the absolute value of the scaling factor is less than 1

If a dilation produce an enlargement that means that the absolute value of the scaling factor is greater than 1

Verify each case

case 1) 2

`\left|2\right|=2`

`2 > 1` ----> is a enlargement

case 2) 1/2

`\left|1/2\right|=1/2`

`1/2 < 1` ----> is a contraction

case 3) -2

`\left|-2\right|=2`

`2 > 1` ----> is a enlargement

case 4) -1/2

`\left|-1/2\right|=1/2`

`1/2 < 1` ----> is a contraction