Chapter 13.5, Problem 13PSB

To determine

To find:The image of B over P.

Answer to Problem 13PSB

The image of B over P is (-5,1)

Explanation of Solution

Given:

The image of A=(4,6) 0ver P is (-2,-2)

Calculation:

Calculate the midpoint of AA’ if A’ is the image of A.

  $\begin{array}{c}P=\left(\frac{4-2}{2},\frac{6-2}{2}\right)\\ =\left(1,2\right)\end{array}$

Now, calculate the image of B,

  $\begin{array}{c}B\text{'}=\left(1+4,2-3\right)\\ =\left(5,-1\right)\end{array}$

Thus, the image of B over P is (-5,1)