Chapter 14.5, Problem 7WE

To determine

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

Answer to Problem 7WE

The coordinates after dilation are $A\text{'}\left(6,0\right),B\text{'}\left(7,-1\right)\text{ and }C\text{'}\left(8,1\right)$ .

Explanation of Solution

Given information:

The coordinates of A, B and C are:

  

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

Calculation:

Move the point one place to the right and one place to the down from A.

The coordinates of $B\text{'}\left(7,-1\right)$ .

Move the point two place to the right and one place up from A.

The coordinates of $C\text{'}\left(8,1\right)$ .

Hence, the coordinates after dilation are $A\text{'}\left(6,0\right),B\text{'}\left(7,-1\right)\text{ and }C\text{'}\left(8,1\right)$ .