Chapter 14.5, Problem 5CE

To determine

To find the coordinates of the images of points A, B and C under the dilation $D_{O,2}$ .

Answer to Problem 5CE

The coordinates of points A, B and C under the dilation $D_{O,2}$ is $A\text{'}\left(8,8\right),B\text{'}\left(4,4\right)\text{ and }C\text{'}\left(6,0\right)$ .

Explanation of Solution

Given information:

The given points are:

  

Calculation:

The solution can be obtained by:

  $\begin{array}{l}A\text{'}=2\cdot A\left(4,4\right)=A\text{'}\left(8,8\right)\\ B\text{'}=2\cdot B\left(2,2\right)=B\text{'}\left(4,4\right)\\ C\text{'}=2\cdot C\left(3,0\right)=C\text{'}\left(6,0\right)\end{array}$

Hence, the coordinates of points A, B and C under the dilation $D_{O,2}$ is

  $A\text{'}\left(8,8\right),B\text{'}\left(4,4\right)\text{ and }C\text{'}\left(6,0\right)$ .