Chapter 9.4, Problem 1ACYP

To determine

To Graph:The triangle $\Delta PQR$ and its image after the indicated glide reflection.

Explanation of Solution

Given:Points $P(1,1),Q(2,5),R(4,2)$ .

  $\begin{array}{l}Translation:<-2,0>\\ \text{Reflection}:x-axis\end{array}$

  $Translation:<-2,0>$

  $\begin{array}{l}(x,y)=(x-2,y)\\ P(1,1)=P\text{'}(-1,1)\\ Q(2,5)=Q\text{'}(0,5)\\ R(4,2)=R\text{'}(2,2)\end{array}$

  $\text{Reflection}:x-axis$

  $\begin{array}{l}(x,y)=(x,-y)\\ P\text{'}(-1,1)=P\text{'}\text{'}(-1,-1)\\ Q\text{'}(0,5)=Q\text{'}\text{'}(0,-5)\\ R\text{'}(2,2)=R\text{'}\text{'}(2,-2)\end{array}$

The graph is shown below.