Answer:
The scale factor of the dilation is 0.1
Explanation:
Let us revise the dilation
A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does not change.
- The scale factor measures how much larger or smaller the image will be.
- If the scale factor greater than 1, then the image will be larger.
- If the scale factor between 0 and 1, then the image will be smaller.
∵ L'M'N'P' is a dilation of LMNP
→ Their corresponding sides are proportion
∴

→ k is the scale factor of the dilation
∵ MN = 22
∵ M'N' = 2.2
→ The figure becomes smaller, then 0 < k < 1
∴

∴

∵

∴ k = 0.1
∴ The scale factor of the dilation is 0.1