Chapter 9.4, Problem 32PPS

To determine

To find: The glide reflection that is used to predict the location of the next track for each set of animal tracks.

Answer to Problem 32PPS

The glide reflection is $x+2.5y$ that is reflected in the line that separates the left and the right print.

Explanation of Solution

Given:

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Consider that the initial position is $\left(x,y\right)$ .

As, the average stride length of the turkey is about 5 inches and the duck has two legs therefore the average stride between the two legs is,

  $\begin{array}{c}a=\frac{5}{2}\\ =2.5\end{array}$

Hence, the glide reflection is $x+2.5y$ that is reflected in the line that separates the left and the right print.