Chapter 14.4, Problem 8WE

To determine

To find: Images of point $F$ after rotation $R_{O,120}:F$ .

Answer to Problem 8WE

Images of point $F$ after rotation i.e. $R_{O,120}:F$ is $B$ .

Explanation of Solution

Given information :

  $O$ is centre of hexagon $ABCDEF$ . Rotation is $R_{O,120}$ .

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 ${120}^o$ counter-clockwise represent as $R_{O,120}$ .

  

Diagram as per the question

  

  $ABCDEF$ is a regular hexagon.

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

  $R_{O,120}:F\to B$

Hence,

Images of point $F$ after rotation i.e. $R_{O,120}:F\to B$ .