Chapter 14.4, Problem 8CE

To determine

To find: Images of points $P,S\&T$ after rotation.

Answer to Problem 8CE

Images of $S$ is $S$ , $T$ is $T$ & $P$ is $P$ for $R_{O,360}$ .

Explanation of Solution

Given information :

  $O$ is centre of equilateral $\Delta PST$ . Rotation is $R_{O,360}$ .

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 ${360}^o$ clockwise represent as $R_{O,360}$ .

  

Diagram as per the question

  

  $\Delta PST$ is an equilateral triangle.

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

Rotation for ${360}^o$ is identity.

  $\begin{array}{l}{R}_{O,120}(S)=S\\ R_{O,120}(T)=T\\ R_{O,120}(P)=P\end{array}$

Hence,

Images of $S$ is $S$ , $T$ is $T$ & $P$ is $P$ .