Chapter 12, Problem 9CST

To determine

To find: The scale of factor.

Answer to Problem 9CST

the scale factor of coordinates is $3$

Explanation of Solution

Given information: The coordinates of ${\text{D}}^{\prime }$ are $(-9,3)$ after a dilation.

Calculation: From the given information, then coordinates of ${\text{D}}^{\prime }$ are $(-9,3)$ . The common factor of $(-9,3)$ is $3$ .

Then the coordinates of $\text{D}$ is $(-3,1)$ .

So, the scale factor of the coordinates is $\text{k=3}$

Then, $\text{(x,y)}\to \text{(3x,3y)}$

  $\text{D(-3,1)}$

Hence, the scale factor of coordinates is $3$ .