Chapter 14.4, Problem 10CE

To determine

To find: Image of points $P$ after rotation.

Answer to Problem 10CE

Images of $P$ is $S$ for $R_{T,-60}$ .

Explanation of Solution

Given information :

  $O$ is centre of equilateral $\Delta PST$ . Rotation is $R_{T,-60}$ .

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

  

Diagram as per the question

  

  $\Delta PST$ is an equilateral triangle.

  $\angle POS=\angle TOS=\angle POT={120}^{{\rm O}}$

  $\angle PST=\angle STP=\angle TPS={60}^{{\rm O}}$

  $R_{T,-60}(P)=S$

i.e. Rotation of $P$ clockwise ${60}^o$ at a point $T$ will be $S$ .

Hence,

Images of $P$ is $S$ for $R_{T,-60}$ .