Chapter 9.3, Problem 23PPS

To determine

To locate: The point P and the angle of rotation.

Answer to Problem 23PPS

The location of point P shown in figure (2) and the rotation angle is $125°$ .

Explanation of Solution

Consider the figure shown below.

  

Figure (1)

Joint point A and $A^{\prime }$ , and point $E\text{and}{E}^{\prime }`$ .

Perpendicular bisect the line $A{A}^{\prime }\text{and}E{E}^{\prime }$ .

The intersection point of these lines is the rotation point P.

Join point PA and $P{A}^{\prime }$ .

Measure angle $\angle AP{A}^{\prime }$

  $\angle AP{A}^{\prime }=125°$

The construction is as shown below.

  

Figure (2)

Therefore, the location of point P shown in figure (2) and the rotation angle is $125°$ .