Chapter 14.4, Problem 30WE

To determine

To find: Coordinates of $C$ .

Answer to Problem 30WE

Coordinate of $C$ is $(4,2)$ .

Explanation of Solution

Given information :

  $H_C:(1,1)\to (7,3)$

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,

  

Rotation $H_C$ : Rotation clockwise ${180}^{°}$ about point

  $C$ (half-turn).

  $C=(\frac{1+7}{2},\frac{1+3}{2})=(4,2)$

Hence,

Coordinate of $C$ is $(4,2)$ .