Chapter 14.4, Problem 27WE

To determine

To graph: Image by the rotation $R_{O,90}$ .

Answer to Problem 27WE

Image by the rotation $R_{O,90}$ is graphed.

Explanation of Solution

Given information :

Image specified on graph paper.

Concept used:

A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.

As per the given problem,

  

Rotation $R_{O,90}$ : Rotation counter-clockwise ${90}^{°}$ about point $O$ .

  $\begin{array}{l}{R}_{O,90}:(1,3)\to (-3,1)\\ R_{O,90}:(4,0)\to (0,4)\end{array}$

  

Hence,

Image by the rotation $R_{O,90}$ is graphed.