Chapter 6.8, Problem 5PPS

To determine

To find: The vertices of given figure after a dilation with the given scale factor $k$ .

Answer to Problem 5PPS

New vertices will be $P^{\prime }\left(4,4\right),Q^{\prime }\left(8,12\right),R^{\prime }\left(12,4\right)$

Explanation of Solution

Given information:

  $k=4$

Given graph

Calculation:

Here, the scale factor is $k=4$ .

Each coordinate will be multiplied by $4$ .

After dilation, points are transformed as shown below,

  $\left(x,y\right)\to \left(4x,4y\right).$

Apply this rule to transform the vertices.

  $\begin{array}{l}P\left(1,1\right)\to P^{\prime }\left(4,4\right)\\ Q\left(2,3\right)\to Q^{\prime }\left(8,12\right)\\ R\left(3,1\right)\to R^{\prime }\left(12,4\right)\end{array}$

Graphs are as shown below.