Chapter 14.4, Problem 5CE

To determine

To find: Another name for $R_{O,-180}$ .

Answer to Problem 5CE

Another name for $R_{O,-180}$ is $R_{O,180}$ .

Explanation of Solution

Given information :

For clockwise rotation of point O through ${180}^o$ represent as $R_{O,-180}$ .

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

For clockwise rotation of point O through ${180}^o$ represent as $R_{O,-180}$ .

  

Because rotation for one whole circle is rotation for 360°. So, instead rotation of 180° clockwise, we can use rotation of 180° counter-clockwise.

  $\Rightarrow R_{O,-180}=R_{O,-180+360}=R_{O,180}$

Hence,

Another name for $R_{O,-180}$ is $R_{O,180}$ .