Question

Given L'M'N'P ' is a dilation of LMNP find the scale factor of dilation . M 22 N M 2.2 N ' L ' P^ prime ' L P.

Answer 1

Answer:

The scale factor of the dilation is 0.1

Step-by-step 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

∴ $\frac{L'M'}{LM}=\frac{M'N'}{MN}=\frac{N'P'}{NP}=\frac{L'P'}{LP}=k$

→ k is the scale factor of the dilation

∵ MN = 22

∵ M'N' = 2.2

→ The figure becomes smaller, then 0 < k < 1

∴ $\frac{M'N'}{MN}=\frac{2.2}{22}$

∴ $\frac{M'N'}{MN}=0.1$

∵  $\frac{M'N'}{MN}=k$

∴ k = 0.1

∴ The scale factor of the dilation is 0.1