Chapter 11.3, Problem 3CYU

To determine

To graph: the figure with the given vertices and its image after rotation of ${180}^0$ about the

origin

Explanation of Solution

Given information:

Consider $D(1,1),F(2,3),G(5,3),H(5,1)$

Calculation:

Transformation of ${180}^0$ about the origin is $(x,y)\Rightarrow (-x,-y)$

  $\begin{array}{l}D(1,1)\Rightarrow D\text{'}(-1,-1)\\ F(2,3)\Rightarrow F\text{'}(-2,-3)\\ G(5,3)\Rightarrow G\text{'}(-5,-3)\\ H(5,1)\Rightarrow H\text{'}(-5,-1)\end{array}$

GRAPH:

Graph the figure before and after rotation