Chapter 14.5, Problem 3WE

To determine

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

Answer to Problem 3WE

The coordinates after dilation are $A\text{'}\left(3,0\right),B\text{'}\left(2,1\right)\text{ and }C\text{'}\left(1,-1\right)$ .

Explanation of Solution

Given information:

The coordinates of A, B and C are:

  

The given dilation is $D_{O,\frac{1}{2}}$ .

Calculation:

The solution can be obtained by:

  $\begin{array}{l}A\text{'}=\frac{1}{2}\cdot A\left(6,0\right)=A\text{'}\left(3,0\right)\\ B\text{'}=\frac{1}{2}\cdot B\left(4,2\right)=B\text{'}\left(2,1\right)\\ C\text{'}=\frac{1}{2}\cdot C\left(2,-2\right)=C\text{'}\left(1,-1\right)\end{array}$

Hence, the coordinates after dilation are $A\text{'}\left(3,0\right),B\text{'}\left(2,1\right)\text{ and }C\text{'}\left(1,-1\right)$ .