Chapter 12.7, Problem 12E

To determine

To graph: draw the image of the square after the dilation.

Explanation of Solution

Given information: the side of the square $PQRS$ is 4 inch and scale factor is $\frac{1}{2}$

Graph: first draw the square $PQRS$ with side 4 inch

Let, the image of the square after dilation be $P\text{'}Q\text{'}R\text{'}S\text{'}$ with the side of $4\cdot \frac{1}{2}=2$ inch

Finally draw the square $P\text{'}Q\text{'}R\text{'}S\text{'}$ as shown below:

  

Interpretation: Hence, the side of the square $P\text{'}Q\text{'}R\text{'}S\text{'}$ after dilation is 2 inch