Chapter 11.3, Problem 9PPS

To determine

To graph: the figure with the given vertices and its image after counter clockwise

rotation of ${270}^0$ about the origin

Explanation of Solution

Given information:

Consider $K(1,-1),L(3,-4),M(1,-5),N(-1,-4)$

  ${270}^0$ Counter clock wise about the origin.

Calculation:

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

  $\begin{array}{l}K(1,-1)\Rightarrow K\text{'}(-1,-1)\\ L(3,-4)\Rightarrow L\text{'}(-4,-3)\\ M(1,-5)\Rightarrow M\text{'}(-5,-1)\\ N(-1,-4)\Rightarrow N\text{'}(-4,1)\end{array}$

GRAPH:

Graph the figure before and after rotation