The scale factors of dilation are:
1) → 3/2
2) → 2/3
3) → 1
4) → 1/2
5) → 2
What is scale factor of dilation?
The scale factor k of dilation can be determined by comparing corresponding lengths of the pre-image and image in a dilation.
The general formula:k = length of corresponding side in image/length of corresponding side in pre-image
Key points:If ( k > 1 ), it's an enlargement (dilation).
If ( 0 < k < 1 ), it's a reduction (shrinkage).
1) FG = 12
F'G' = 18
Scale factor, k = 18/12 = 3/2
k →3/2
2) FG = 12
F'G' = 8
scale factor, k = 8/12 = 2/3
k → 2/3
3) FG = 12
F'G' = 12
Scale factor, k = 12/12 = 1
k → 1
4) FG = 12
F'G' = 6
Scale factor, k = 6/12 = 1/2
k → 1/2
5) FG = 12
F'G' = 24
Scale factor, k = 24/12 = 2
k → 2
The scale factors are
1) → 3/2
2) → 2/3
3) → 1
4) → 1/2
5) → 2