Chapter 12.7, Problem 13E

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 $1\frac{1}{2}$

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 $\begin{array}{l}4\cdot 1\frac{1}{2}\\ =4\cdot \frac{3}{2}\left[\text{write mixed fraction as improper fraction}\right]\\ =4\cdot 1.5\left[\text{divide}\right]\\ =6\text{ inch }\left[\text{multiply}\right]\end{array}$

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 6 inch