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

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

∴
`(L'M')/(LM)=(M'N')/(MN)=(N'P')/(NP)=(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

∴
`(M'N')/(MN)=(2.2)/(22)`

∴
`(M'N')/(MN)=0.1`

∵
`(M'N')/(MN)=k`

∴ k = 0.1

∴ The scale factor of the dilation is 0.1