Chapter 14.5, Problem 8WE

To determine

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

Answer to Problem 8WE

The coordinates after dilation are $A\text{'}\left(6,0\right),B\text{'}\left(2,4\right)\text{ and }C\text{'}\left(-2,-4\right)$ .

Explanation of Solution

Given information:

The coordinates of A, B and C are:

  

The given dilation is $D_{A,2}$ .

Calculation:

Move the point four place to the right and four place up from A.

The coordinates of $B\text{'}\left(2,4\right)$ .

Move the point eight place to the left and two place down from A.

The coordinates of $C\text{'}\left(-2,-4\right)$ .

Hence, the coordinates after dilation are $A\text{'}\left(6,0\right),B\text{'}\left(2,4\right)\text{ and }C\text{'}\left(-2,-4\right)$ .