Chapter 14.2, Problem 22WE

To determine

To draw a line t and a point A not on t , then use a straightedge and compass to construct the image of A under $R_t$ .

Answer to Problem 22WE

The construction of a line that represents $R_j\left(B\right)=B\text{'}$ .

Explanation of Solution

Given information:

The given statement is that how to score a hole in one on the fifth hole of the golf course.

The construction of a line that represents $R_j\left(B\right)=B\text{'}$ .

To construct a line that represents $R_j\left(B\right)=B\text{'}$

First take two pointsB and B’ . using straightedge and compass draw an arc pointing straightedge at point B and then with same arc radius intersect the arc with pointing the straightedge at B’ , you will get an intersection point. Againdraw an arc with a different radius pointing straightedge at point B and then with same arc radius intersect the arc with pointing the straightedge at B’ , you will get another intersection point. Using these two intersection point draw a straight line j and this straight line will be the line of reflection. You can check if the line j is reflection line or not by joining B and B’ , if the line j is perpendicular bisector of BB’ it means the line j is line of reflection in this case.