Chapter 14.5, Problem 5WE

To determine

To find the coordinates of the images A, B and C by the given dilation.

Answer to Problem 5WE

The coordinates after dilation are $A\text{'}\left(-12,0\right),B\text{'}\left(-8,-4\right)\text{ and }C\text{'}\left(-4,4\right)$ .

Explanation of Solution

Given information:

The coordinates of A, B and C are:

  

The given dilation is $D_{O,-2}$ .

Calculation:

The solution can be obtained by:

  $\begin{array}{l}A\text{'}=-2\cdot A\left(6,0\right)=A\text{'}\left(-12,0\right)\\ B\text{'}=-2\cdot B\left(4,2\right)=B\text{'}\left(-8,-4\right)\\ C\text{'}=-2\cdot C\left(2,-2\right)=C\text{'}\left(-4,4\right)\end{array}$

Hence, the coordinates after dilation are $A\text{'}\left(-12,0\right),B\text{'}\left(-8,-4\right)\text{ and }C\text{'}\left(-4,4\right)$ .