Chapter 14.4, Problem 5WE

To determine

To find: Another name for $H_o$ .

Answer to Problem 5WE

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

Explanation of Solution

Given information :

A rotation about a point O through ${180}^o$ is called a half-turnabout O represent as $H_o$ .

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

A rotation about a point O through ${180}^o$ is called a half-turnabout O represent as $H_o$ .

  

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

  $\Rightarrow H_O=R_{O,180}$

Hence,

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