Chapter 9.4, Problem 28PPS

To determine

To find: The combination of transformation that is needed for Kayla to start at A, skate to $A^{\prime }$ and end up to $A^{″}$ .

Answer to Problem 28PPS

The transformation is used is translational and rotational.

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Consider the required translate is shown in Figure 2

  

Figure 2

Now rotate $A^{\prime }$ to $A^{″}$ as show in Figure 3

  

Figure 3

Thus, the rotation of the Kayla does one complete rotation and one complete rotation that is followed by one quarter rotation as,

  $360°+90°=450°$

Thus, the transformation is used is translational and rotational.