Chapter 14.4, Problem 10WE

To determine

To find: Image of point $O$ from rotation $R_{B,-60}$ .

Answer to Problem 10WE

Image of point $O$ after rotation i.e. $R_{B,-60}$ is $A$ .

Explanation of Solution

Given information :

  $O$ is centre of hexagon $ABCDEF$ . Rotation is $R_{B,-60}$ .

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 B through ${60}^o$ clockwise represent as $R_{B,-60}$ .

  

Diagram as per the question

  

  $ABCDEF$ is a regular hexagon.

  $\angle AOF=\angle FOE=\angle EOD=\angle DOC=\angle COB=\angle BOA={60}^{{\rm O}}$

  $\Delta AOB$ is an equilateral triangle

  $\angle BOA=\angle OAB=\angle ABO={60}^{°}$

  $R_{B,-60}:O\to A$

Hence,

Image of point $O$ after rotation i.e. $R_{B,-60}$ is $A$ .