Chapter 12.7, Problem 27E

To determine

To find:the coordinates of $p$

Answer to Problem 27E

D. $\left(8,16\right)$

Explanation of Solution

Given information: $p\text{'}$ is the corresponding point on the image of $p\left(2,4\right)$ and the scale factor is 4

Dilation is given by $\left(x,y\right)\to \left(kx,ky\right)$ , so evaluate the coordinates of the vertices of the image of the dilated figure:

  $\begin{array}{l}p\text{'}=\left(2\cdot 4,4\cdot 4\right)\\ =\left(8,16\right)\end{array}$

Hence, the correct answer is D. $\left(8,16\right)$