The length of image of AB after the dilation is 18 cm
Solution:
Given data:
Length of AB = 9 cm
Scale factor (k) = 2
Length of image of AB = ?
By the definition of scale factor,
[tex]$k=\frac{\text { Length of Dilated image AB }}{\text { Length of original image } \mathrm{AB}}$[/tex]
[tex]$2=\frac{\text { Length of Dilated image AB }}{9}[/tex]
Do cross multiplication, we get
2 × 9 = Length of dilated image of AB
18 = Length of dilated image of AB
Hence the length of image of AB after the dilation is 18 cm.
